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Research in the Mathematical Sciences

Short Title: Res. Math. Sci.
Publisher: Springer International Publishing (SpringerOpen), Cham
ISSN: 2522-0144; 2197-9847/e
Online: http://link.springer.com/journal/volumesAndIssues/40687
https://resmathsci.springeropen.com
Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2014). This journal is available open access.
Documents Indexed: 305 Publications (since 2014)
References Indexed: 302 Publications with 10,669 References.
all top 5

Authors

9 Bringmann, Kathrin
6 Rolen, Larry
5 Duncan, John F. R.
5 Osher, Stanley Joel
5 Ying, Lexing
4 E, Weinan
4 Griffin, Michael J.
4 Ono, Ken
3 Cheng, Miranda C. N.
3 Garoufalidis, Stavros
3 Guerzhoy, Pavel I.
3 Raum, Martin
3 Thorner, Jesse
3 Tsai, Yen-Hsi Richard
2 An, Dong
2 Baker, Matthew H.
2 Brown, Francis C. S.
2 Chu, Jay
2 Darbon, Jerome
2 Diamantis, Nikolaos
2 Dixit, Atul
2 Draisma, Jan
2 Folsom, Amanda L.
2 Fricks, John
2 Fukshansky, Lenny
2 Getz, Jayce Robert
2 Gómez-Gonzáles, Claudio
2 Harrison, Sarah M.
2 Hou, Thomas Yizhao
2 Imamoḡlu, Özlem
2 Jameson, Marie
2 Kachru, Shamit
2 Kane, Daniel M.
2 Kaszián, Jonas
2 Kazalicki, Matija
2 Kedlaya, Kiran Sridhara
2 Khouider, Boualem
2 Klobusicky, Joseph J.
2 Kramer, Peter Roland
2 Lagarias, Jeffrey C.
2 Lan, Kai-Wen
2 Li, Wen-Ch’ing Winnie
2 Lin, Lin
2 Liu, Jianguo
2 Lu, Jianfeng
2 Majda, Andrew J.
2 Masri, Riad
2 McCarthy, Dermot
2 Mertens, Michael Helmut
2 Milas, Antun
2 Mukundan, Vivek
2 Nazaroglu, Caner
2 Nguyen, Hoai-Minh
2 O’Dorney, Evan M.
2 Oesinghaus, Jakob
2 Polymath, D. H. J.
2 Rhoades, Robert C.
2 Richter, Olav K.
2 Schaposnik, Laura P.
2 Shparlinski, Igor E.
2 Souganidis, Panagiotis E.
2 Stapledon, Alan
2 Tendero, Yohann
2 Tong, Xin Thomson
2 Tornberg, Anna-Karin
2 Wolfson, Jesse
2 Xin, Jack X.
2 Yin, Penghang
2 Zepeda-Núñez, Leonardo
2 Zhao, Hongkai
2 Zwegers, Sander Pieter
1 Abdesselam, Abdelmalek
1 Abdulle, Assyr
1 af Klinteberg, Ludvig
1 Alberts, Brandon
1 Alcántara, Claudia R.
1 Ambrose, David M.
1 Amerik, Ekaterina Yu.
1 Amini, Omid
1 Ancona, Giuseppe
1 Andrade, Julio Cesar
1 Andreatta, Fabrizio
1 Andruskiewitsch, Nicolás
1 Angiono, Iván Ezequiel
1 Arango-Piñeros, Santiago
1 Arsovski, Bodan
1 Aubert, Anne-Marie
1 Backman, Spencer
1 Bae, Sunghan
1 Bajpai, Jitendra
1 Banerjee, Nabamita
1 Banerjee, Oishee
1 Bao, Weizhu
1 Barman, Rupam
1 Barquero-Sanchez, Adrian
1 Baum, Paul Frank
1 Beckwith, Olivia
1 Belabas, Karim
1 Bellaïche, Joël
1 Benjamin, Nathan
...and 424 more Authors
all top 5

Fields

140 Number theory (11-XX)
68 Algebraic geometry (14-XX)
47 Partial differential equations (35-XX)
37 Numerical analysis (65-XX)
18 Combinatorics (05-XX)
16 Group theory and generalizations (20-XX)
15 Fluid mechanics (76-XX)
14 Commutative algebra (13-XX)
14 Probability theory and stochastic processes (60-XX)
13 Special functions (33-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Manifolds and cell complexes (57-XX)
9 Computer science (68-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Differential geometry (53-XX)
8 Algebraic topology (55-XX)
7 Nonassociative rings and algebras (17-XX)
7 Optics, electromagnetic theory (78-XX)
7 Quantum theory (81-XX)
7 Biology and other natural sciences (92-XX)
6 Field theory and polynomials (12-XX)
6 Associative rings and algebras (16-XX)
6 Operator theory (47-XX)
6 Convex and discrete geometry (52-XX)
5 Topological groups, Lie groups (22-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Geophysics (86-XX)
5 Operations research, mathematical programming (90-XX)
4 Ordinary differential equations (34-XX)
4 Functional analysis (46-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Statistics (62-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Category theory; homological algebra (18-XX)
3 \(K\)-theory (19-XX)
3 Functions of a complex variable (30-XX)
3 Geometry (51-XX)
3 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Real functions (26-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Publications by Year

Citations contained in zbMATH Open

190 Publications have been cited 1,228 times in 1,021 Documents Cited by Year
On the supercongruence conjectures of van Hamme. Zbl 1337.33005
Swisher, Holly
69
2015
Umbral moonshine and the Niemeier lattices. Zbl 1365.11044
Cheng, Miranda C. N.; Duncan, John F. R.; Harvey, Jeffrey A.
58
2014
Variants of the Selberg sieve, and bounded intervals containing many primes. Zbl 1365.11110
Polymath, D. H. J.
50
2014
Lifting harmonic morphisms. I: Metrized complexes and Berkovich skeleta. Zbl 1327.14117
Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph
35
2015
Proof of the umbral moonshine conjecture. Zbl 1383.11052
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
33
2015
Nahm sums, stability and the colored Jones polynomial. Zbl 1334.57021
Garoufalidis, Stavros; Lê, Thang T. Q.
33
2015
Negative index Jacobi forms and quantum modular forms. Zbl 1349.11085
Bringmann, Kathrin; Creutzig, Thomas; Rolen, Larry
26
2014
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
25
2016
Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method. Zbl 1375.65004
Jin, Shi; Liu, Jian-Guo; Ma, Zheng
25
2017
Amoebas, nonnegative polynomials and sums of squares supported on circuits. Zbl 1415.11071
Iliman, Sadik; de Wolff, Timo
25
2016
Algorithms for overcoming the curse of dimensionality for certain Hamilton-Jacobi equations arising in control theory and elsewhere. Zbl 1348.49026
Darbon, Jérôme; Osher, Stanley
22
2016
Solving for high-dimensional committor functions using artificial neural networks. Zbl 07096498
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
22
2019
Moonshine. Zbl 1380.11030
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
22
2015
A mean-field optimal control formulation of deep learning. Zbl 1421.49021
E, Weinan; Han, Jiequn; Li, Qianxiao
21
2019
Deep relaxation: partial differential equations for optimizing deep neural networks. Zbl 1427.82032
Chaudhari, Pratik; Oberman, Adam; Osher, Stanley; Soatto, Stefano; Carlier, Guillaume
20
2018
Torus knots and quantum modular forms. Zbl 1380.11046
Hikami, Kazuhiro; Lovejoy, Jeremy
20
2015
Radial limits of mock theta functions. Zbl 1379.11048
Bringmann, Kathrin; Rolen, Larry
17
2015
Rankin-Eisenstein classes in Coleman families. Zbl 1414.11070
Loeffler, David; Zerbes, Sarah Livia
16
2016
Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions. Zbl 1419.11077
Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun
16
2019
Derived equivalences of K3 surfaces and twined elliptic genera. Zbl 1403.11040
Duncan, John F. R.; Mack-Crane, Sander
16
2016
Bounded gaps between primes in Chebotarev sets. Zbl 1362.11082
Thorner, Jesse
16
2014
A class of non-holomorphic modular forms. I. Zbl 1441.11103
Brown, Francis
15
2018
Mock modular Mathieu moonshine modules. Zbl 1395.17061
Cheng, Miranda C. N.; Dong, Xi; Duncan, John F. R.; Harrison, Sarah; Kachru, Shamit; Wrase, Timm
15
2015
Fast Ewald summation for free-space Stokes potentials. Zbl 1360.65295
af Klinteberg, Ludvig; Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin
14
2017
Low Mach number limit for the quantum hydrodynamics system. Zbl 1344.35093
Donatelli, Donatella; Marcati, Pierangelo
14
2016
Sparse operator compression of higher-order elliptic operators with rough coefficients. Zbl 1412.65215
Hou, Thomas Y.; Zhang, Pengchuan
12
2017
Propagation of chaos for large Brownian particle system with Coulomb interaction. Zbl 1355.82025
Liu, Jian-Guo; Yang, Rong
12
2016
Integration over curves and surfaces defined by the closest point mapping. Zbl 1336.65021
Kublik, Catherine; Tsai, Richard
12
2016
Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations. Zbl 1320.35269
Hou, Thomas Y.; Liu, Pengfei
12
2015
Closed expressions for averages of set partition statistics. Zbl 1339.15019
Chern, Bobbie; Diaconis, Persi; Kane, Daniel M.; Rhoades, Robert C.
12
2014
Moduli of tropical plane curves. Zbl 1349.14043
Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd
12
2015
Exact triangle for fibered Dehn twists. Zbl 1380.53100
Wehrheim, Katrin; Woodward, Chris T.
11
2016
Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures. Zbl 1445.35119
Darbon, Jérôme; Langlois, Gabriel P.; Meng, Tingwei
11
2020
The local Langlands correspondence for inner forms of \(\mathrm{SL}_{n}\). Zbl 1394.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
10
2016
Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. Zbl 1447.65097
Chen, Wenbin; Li, Weijia; Wang, Cheng; Wang, Shufen; Wang, Xiaoming
10
2020
A proof of the Thompson moonshine conjecture. Zbl 1417.11040
Griffin, Michael J.; Mertens, Michael H.
10
2016
Elliptic curves of rank two and generalised Kato classes. Zbl 1416.11096
Darmon, Henri; Rotger, Victor
9
2016
Multivariable Appell functions and nonholomorphic Jacobi forms. Zbl 1470.11085
Zwegers, Sander
9
2019
Integer partitions, probabilities and quantum modular forms. Zbl 1371.05021
Ngo, Hieu T.; Rhoades, Robert C.
9
2017
Mock modular forms and class number relations. Zbl 1352.11049
Mertens, Michael H.
9
2014
On the Fourier coefficients of negative index meromorphic Jacobi forms. Zbl 1405.11046
Bringmann, Kathrin; Rolen, Larry; Zwegers, Sander
9
2016
Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves. Zbl 1441.11150
Green, Nathan; Papanikolas, Matthew A.
8
2018
Detecting localized eigenstates of linear operators. Zbl 1425.35128
Lu, Jianfeng; Steinerberger, Stefan
8
2018
A class of non-holomorphic modular forms. III: real analytic cusp forms for \(\mathrm{SL}_2(\mathbb{Z})\). Zbl 1440.11071
Brown, Francis
8
2018
Distributed-memory hierarchical interpolative factorization. Zbl 1375.65141
Li, Yingzhou; Ying, Lexing
8
2017
From rubber bands to rational maps: a research report. Zbl 1360.37119
Thurston, Dylan P.
8
2016
A problem of Petersson about weight 0 meromorphic modular forms. Zbl 1418.11059
Bringmann, Kathrin; Kane, Ben
7
2016
Best rank-\(k\) approximations for tensors: generalizing Eckart-Young. Zbl 1417.15034
Draisma, Jan; Ottaviani, Giorgio; Tocino, Alicia
7
2018
Black holes and class groups. Zbl 1455.11065
Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry
7
2018
Fourientations and the Tutte polynomial. Zbl 1371.05132
Backman, Spencer; Hopkins, Sam
7
2017
\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1. Zbl 1380.11052
Westerholt-Raum, Martin
7
2015
Lifting matroid divisors on tropical curves. Zbl 1349.14194
Cartwright, Dustin
7
2015
A theta operator on Picard modular forms modulo an inert prime. Zbl 1417.11043
de Shalit, Ehud; Goren, Eyal Z.
6
2016
The Dedekind eta function and D’Arcais-type polynomials. Zbl 1472.11122
Heim, Bernhard; Neuhauser, Markus
6
2020
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. Zbl 1425.35016
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
6
2017
Volumetric variational principles for a class of partial differential equations defined on surfaces and curves. Zbl 1431.65131
Chu, Jay; Tsai, Richard
6
2018
Partitions of unity in \(\mathrm{SL}(2,\mathbb Z)\), negative continued fractions, and dissections of polygons. Zbl 1418.05047
Ovsienko, Valentin
6
2018
A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234
Bao, Weizhu; Yin, Jia
6
2019
On Zagier’s adele. Zbl 1355.11044
Guerzhoy, Pavel
6
2014
Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces. Zbl 1379.14032
Katz, Eric; Stapledon, Alan
6
2016
Convergence of the point integral method for Laplace-Beltrami equation on point cloud. Zbl 1395.65124
Shi, Zuoqiang; Sun, Jian
5
2017
Congruences for Taylor expansions of quantum modular forms. Zbl 1349.11088
Guerzhoy, Pavel; Kent, Zachary A.; Rolen, Larry
5
2014
Modeling of missing dynamical systems: deriving parametric models using a nonparametric framework. Zbl 1447.37067
Jiang, Shixiao W.; Harlim, John
5
2020
K3 string theory, lattices and moonshine. Zbl 1435.81157
Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto; Zimet, Max
5
2018
The Lerch zeta function. III: Polylogarithms and special values. Zbl 1412.11110
Lagarias, Jeffrey C.; Li, Wen-Ching Winnie
5
2016
Algebraic boundaries of convex semi-algebraic sets. Zbl 1381.52007
Sinn, Rainer
5
2015
Hilbert modular surfaces for square discriminants and elliptic subfields of genus 2 function fields. Zbl 1380.11049
Kumar, Abhinav
5
2015
On \(p\)-adic modular forms and the Bloch-Okounkov theorem. Zbl 1405.11051
Griffin, Michael J.; Jameson, Marie; Trebat-Leder, Sarah
5
2016
Free boundary methods and non-scattering phenomena. Zbl 1480.35408
Salo, Mikko; Shahgholian, Henrik
5
2021
Fluctuations in the heterogeneous multiscale methods for fast-slow systems. Zbl 1453.65204
Kelly, David; Vanden-Eijnden, Eric
4
2017
Geometric and analytic structures on the higher adèles. Zbl 1405.11148
Braunling, O.; Groechenig, M.; Wolfson, J.
4
2016
The adic, cuspidal, Hilbert eigenvarieties. Zbl 1417.11063
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent
4
2016
More than five-twelfths of the zeros of \(\zeta\) are on the critical line. Zbl 07144056
Pratt, Kyle; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk
4
2020
Higgs bundles and exceptional isogenies. Zbl 1408.14112
Bradlow, Steven B.; Schaposnik, Laura P.
4
2016
Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1356.35094
Luo, Songting; Zhao, Hongkai
4
2016
Nonzero coefficients of half-integral weight modular forms mod \(\ell \). Zbl 1465.11114
Bellaïche, Joël; Green, Ben; Soundararajan, Kannan
4
2018
Period polynomials, derivatives of \(L\)-functions, and zeros of polynomials. Zbl 1457.11032
Diamantis, Nikolaos; Rolen, Larry
4
2018
Kronecker’s first limit formula, revisited. Zbl 1441.11085
Duke, W.; Imamoḡlu, Ö.; Tóth, Á.
4
2018
Vector-valued Hirzebruch-Zagier series and class number sums. Zbl 1440.11049
Williams, Brandon
4
2018
Modular forms in Pari/GP. Zbl 1441.11003
Belabas, Karim; Cohen, Henri
4
2018
A multiscale neural network based on hierarchical nested bases. Zbl 07096701
Fan, Yuwei; Feliu-Fabà, Jordi; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo
4
2019
Quantum Jacobi forms in number theory, topology, and mathematical physics. Zbl 1443.11070
Folsom, Amanda
4
2019
Skeletons of stable maps. II: Superabundant geometries. Zbl 1401.14131
Ranganathan, Dhruv
4
2017
Dynamically distinguishing polynomials. Zbl 1391.37064
Bridy, Andrew; Garton, Derek
4
2017
Adaptive selection and validation of models of complex systems in the presence of uncertainty. Zbl 1377.92036
Farrell-Maupin, Kathryn; Oden, J. T.
4
2017
Distribution of orders in number fields. Zbl 1381.11107
Kaplan, Nathan; Marcinek, Jake; Takloo-Bighash, Ramin
4
2015
New methods for \((\varphi, \Gamma)\)-modules. Zbl 1387.11087
Kedlaya, Kiran S.
4
2015
The complexity of counting edge colorings and a dichotomy for some higher domain Holant problems. Zbl 1344.05060
Cai, Jin-Yi; Guo, Heng; Williams, Tyson
3
2016
Average values of \(L\)-series for real characters in function fields. Zbl 1355.11072
Andrade, Julio C.; Bae, Sunghan; Jung, Hwanyup
3
2016
\(S_n\)-equivariant sheaves and Koszul cohomology. Zbl 1349.14088
Yang, David H.
3
2014
The distribution of the Tamagawa ratio in the family of elliptic curves with a two-torsion point. Zbl 1349.11094
Klagsbrun, Zev; Lemke Oliver, Robert J.
3
2014
Hyperbolic geometry of the ample cone of a hyperkähler manifold. Zbl 1348.53057
Amerik, Ekaterina; Verbitsky, Misha
3
2016
Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. Zbl 1358.35012
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V.
3
2017
Formulas for monodromy. Zbl 1401.14049
Stapledon, Alan
3
2017
Sato-Tate distributions of twists of the Fermat and the Klein quartics. Zbl 1451.11050
Fité, Francesc; Lorenzo García, Elisa; Sutherland, Andrew V.
3
2018
On the stability of static domain wall profiles in ferromagnetic thin film. Zbl 1430.35222
Dwivedi, Sharad; Dubey, Shruti
3
2019
Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis. Zbl 1470.11145
Lewis, John; Zagier, Don
3
2019
Hölder stability for an inverse medium problem with internal data. Zbl 1428.35677
Choulli, Mourad; Triki, Faouzi
3
2019
A framework for modular properties of false theta functions. Zbl 1456.11074
Bringmann, Kathrin; Nazaroglu, Caner
3
2019
The invisibility via anomalous localized resonance of a source for electromagnetic waves. Zbl 1425.35185
Nguyen, Hoai-Minh
3
2019
On vanishing near corners of conductive transmission eigenfunctions. Zbl 1481.35301
Deng, Youjun; Duan, Chaohua; Liu, Hongyu
3
2022
Free boundary methods and non-scattering phenomena. Zbl 1480.35408
Salo, Mikko; Shahgholian, Henrik
5
2021
Kolmogorov width decay and poor approximators in machine learning: shallow neural networks, random feature models and neural tangent kernels. Zbl 07307666
E, Weinan; Wojtowytsch, Stephan
3
2021
An enriched count of the bitangents to a smooth plane quartic curve. Zbl 1471.14070
Larson, Hannah; Vogt, Isabel
2
2021
Spectral methods for nonlinear functionals and functional differential equations. Zbl 1477.46079
Venturi, Daniele; Dektor, Alec
2
2021
Generalized Paley graphs and their complete subgraphs of orders three and four. Zbl 1461.05138
Dawsey, Madeline Locus; McCarthy, Dermot
2
2021
Enhanced diffusivity and skewness of a diffusing tracer in the presence of an oscillating wall. Zbl 1467.82082
Ding, Lingyun; Hunt, Robert; McLaughlin, Richard M.; Woodie, Hunter
2
2021
Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues. Zbl 1477.35254
Vodev, Georgi
2
2021
Mocking the \(u\)-plane integral. Zbl 1472.81184
Korpas, Georgios; Manschot, Jan; Moore, Gregory W.; Nidaiev, Iurii
2
2021
A quaternionic construction of \(p\)-adic singular moduli. Zbl 07375559
Guitart, Xavier; Masdeu, Marc; Xarles, Xavier
2
2021
Integral representations of rank two false theta functions and their modularity properties. Zbl 1482.11069
Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun; Nazaroglu, Caner
2
2021
Applications to \(\mathbb{A}^1\)-enumerative geometry of the \(\mathbb{A}^1\)-degree. Zbl 1469.14047
Pauli, Sabrina; Wickelgren, Kirsten
1
2021
Bhargava’s cube and black hole charges. Zbl 1459.83024
Banerjee, Nabamita; Bhand, Ajit; Dutta, Suvankar; Sen, Ashoke; Singh, Ranveer Kumar
1
2021
Effective forms of the Sato-Tate conjecture. Zbl 1465.11140
Thorner, Jesse
1
2021
Initial investigations of precipitating quasi-geostrophic turbulence with phase changes. Zbl 1457.65144
Hu, Rentian; Edwards, Thomas K.; Smith, Leslie M.; Stechmann, Samuel N.
1
2021
Delay-coordinate maps, coherence, and approximate spectra of evolution operators. Zbl 1460.37077
Giannakis, Dimitrios
1
2021
A stochastic closure for two-moment bulk microphysics of warm clouds. I: Derivations. Zbl 1457.76173
Collins, David; Khouider, Boualem
1
2021
On the reductions of certain two-dimensional crystabelline representations. Zbl 1470.11092
Arsovski, Bodan
1
2021
Several new product identities in relation to Rogers-Ramanujan type sums and mock theta functions. Zbl 1465.11201
Pascadi, Alexandru
1
2021
A symmetric Bloch-Okounkov theorem. Zbl 1470.11077
van Ittersum, Jan-Willem M.
1
2021
The minimum of the levels of the proper factors of a holomorphic eta quotient. Zbl 1473.11090
Bhattacharya, Soumya
1
2021
Superimposing theta structure on a generalized modular relation. Zbl 1479.11151
Dixit, Atul; Kumar, Rahul
1
2021
Time-periodic measures, random periodic orbits, and the linear response for dissipative non-autonomous stochastic differential equations. Zbl 1480.37060
Branicki, Michał; Uda, Kenneth
1
2021
Isogenies of certain \(K3\) surfaces of rank 18. Zbl 1477.14057
Braeger, Noah; Clingher, Adrian; Malmendier, Andreas; Spatig, Shantel
1
2021
Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures. Zbl 1445.35119
Darbon, Jérôme; Langlois, Gabriel P.; Meng, Tingwei
11
2020
Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. Zbl 1447.65097
Chen, Wenbin; Li, Weijia; Wang, Cheng; Wang, Shufen; Wang, Xiaoming
10
2020
The Dedekind eta function and D’Arcais-type polynomials. Zbl 1472.11122
Heim, Bernhard; Neuhauser, Markus
6
2020
Modeling of missing dynamical systems: deriving parametric models using a nonparametric framework. Zbl 1447.37067
Jiang, Shixiao W.; Harlim, John
5
2020
More than five-twelfths of the zeros of \(\zeta\) are on the critical line. Zbl 07144056
Pratt, Kyle; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk
4
2020
Linear algebraic groups with good reduction. Zbl 1466.20032
Rapinchuk, Andrei S.; Rapinchuk, Igor A.
2
2020
Hypergeometric decomposition of symmetric \(K3\) quartic pencils. Zbl 1441.14128
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
1
2020
An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow. Zbl 1434.74051
Mori, Yoichiro; Ohm, Laurel
1
2020
Enhanced Koszul properties in Galois cohomology. Zbl 1439.12009
Mináč, Ján; Palaisti, Marina; Pasini, Federico W.; Tân, Nguyễn Duy
1
2020
Singularities and vanishing cycles in number theory over function fields. Zbl 1469.11450
Sawin, Will
1
2020
Period functions associated to real-analytic modular forms. Zbl 1459.11124
Diamantis, Nikolaos; Drewitt, Joshua
1
2020
Hodge theorem for the logarithmic de Rham complex via derived intersections. Zbl 1455.14014
Hablicsek, Márton
1
2020
Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type. Zbl 1460.53074
Ratiu, Tudor S.; Tarama, Daisuke
1
2020
Spaces of non-degenerate maps between complex projective spaces. Zbl 1460.55013
Gómez-Gonzáles, Claudio
1
2020
Solving for high-dimensional committor functions using artificial neural networks. Zbl 07096498
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
22
2019
A mean-field optimal control formulation of deep learning. Zbl 1421.49021
E, Weinan; Han, Jiequn; Li, Qianxiao
21
2019
Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions. Zbl 1419.11077
Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun
16
2019
Multivariable Appell functions and nonholomorphic Jacobi forms. Zbl 1470.11085
Zwegers, Sander
9
2019
A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234
Bao, Weizhu; Yin, Jia
6
2019
A multiscale neural network based on hierarchical nested bases. Zbl 07096701
Fan, Yuwei; Feliu-Fabà, Jordi; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo
4
2019
Quantum Jacobi forms in number theory, topology, and mathematical physics. Zbl 1443.11070
Folsom, Amanda
4
2019
On the stability of static domain wall profiles in ferromagnetic thin film. Zbl 1430.35222
Dwivedi, Sharad; Dubey, Shruti
3
2019
Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis. Zbl 1470.11145
Lewis, John; Zagier, Don
3
2019
Hölder stability for an inverse medium problem with internal data. Zbl 1428.35677
Choulli, Mourad; Triki, Faouzi
3
2019
A framework for modular properties of false theta functions. Zbl 1456.11074
Bringmann, Kathrin; Nazaroglu, Caner
3
2019
The invisibility via anomalous localized resonance of a source for electromagnetic waves. Zbl 1425.35185
Nguyen, Hoai-Minh
3
2019
Quantitative aspects of acyclicity. Zbl 1437.55024
Kozlov, Dmitry N.; Meshulam, Roy
3
2019
Mahler measures of a family of non-tempered polynomials and Boyd’s conjectures. Zbl 1454.11197
Meemark, Yotsanan; Samart, Detchat
2
2019
Universal mock theta functions as quantum Jacobi forms. Zbl 1470.11097
Carroll, Greg; Corbett, James; Folsom, Amanda; Thieu, Ellie
2
2019
On exceptional sets in Manin’s conjecture. Zbl 1431.14019
Lehmann, Brian; Tanimoto, Sho
2
2019
Blended coarse gradient descent for full quantization of deep neural networks. Zbl 1422.90066
Yin, Penghang; Zhang, Shuai; Lyu, Jiancheng; Osher, Stanley; Qi, Yingyong; Xin, Jack
2
2019
Effective approximation of heat flow evolution of the Riemann \(\xi \) function, and a new upper bound for the de Bruijn-Newman constant. Zbl 1423.30022
Polymath, D. H. J.
2
2019
PDE acceleration: a convergence rate analysis and applications to obstacle problems. Zbl 1427.65145
Calder, Jeff; Yezzi, Anthony
2
2019
Quasisymmetric functions and the Chow ring of the stack of expanded pairs. Zbl 1439.14030
Oesinghaus, Jakob
1
2019
Maass wave forms, quantum modular forms and Hecke operators. Zbl 1443.11058
Lee, Seewoo
1
2019
Analysis of a singular Boussinesq model. Zbl 1428.35367
Kiselev, Alexander; Yang, Hang
1
2019
Disjointness of the Möbius transformation and Möbius function. Zbl 1454.11147
El Abdalaoui, El Houcein; Shparlinski, Igor E.
1
2019
Taelman \(L\)-values for Drinfeld modules over Tate algebras. Zbl 1465.11184
Gezmiş, Oğuz
1
2019
The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms. Zbl 1464.11051
Raum, Martin; Richter, Olav K.
1
2019
The shape of cubic fields. Zbl 1470.11273
Hough, Robert
1
2019
Hessian transport gradient flows. Zbl 1427.35282
Li, Wuchen; Ying, Lexing
1
2019
Deep relaxation: partial differential equations for optimizing deep neural networks. Zbl 1427.82032
Chaudhari, Pratik; Oberman, Adam; Osher, Stanley; Soatto, Stefano; Carlier, Guillaume
20
2018
A class of non-holomorphic modular forms. I. Zbl 1441.11103
Brown, Francis
15
2018
Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves. Zbl 1441.11150
Green, Nathan; Papanikolas, Matthew A.
8
2018
Detecting localized eigenstates of linear operators. Zbl 1425.35128
Lu, Jianfeng; Steinerberger, Stefan
8
2018
A class of non-holomorphic modular forms. III: real analytic cusp forms for \(\mathrm{SL}_2(\mathbb{Z})\). Zbl 1440.11071
Brown, Francis
8
2018
Best rank-\(k\) approximations for tensors: generalizing Eckart-Young. Zbl 1417.15034
Draisma, Jan; Ottaviani, Giorgio; Tocino, Alicia
7
2018
Black holes and class groups. Zbl 1455.11065
Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry
7
2018
Volumetric variational principles for a class of partial differential equations defined on surfaces and curves. Zbl 1431.65131
Chu, Jay; Tsai, Richard
6
2018
Partitions of unity in \(\mathrm{SL}(2,\mathbb Z)\), negative continued fractions, and dissections of polygons. Zbl 1418.05047
Ovsienko, Valentin
6
2018
K3 string theory, lattices and moonshine. Zbl 1435.81157
Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto; Zimet, Max
5
2018
Nonzero coefficients of half-integral weight modular forms mod \(\ell \). Zbl 1465.11114
Bellaïche, Joël; Green, Ben; Soundararajan, Kannan
4
2018
Period polynomials, derivatives of \(L\)-functions, and zeros of polynomials. Zbl 1457.11032
Diamantis, Nikolaos; Rolen, Larry
4
2018
Kronecker’s first limit formula, revisited. Zbl 1441.11085
Duke, W.; Imamoḡlu, Ö.; Tóth, Á.
4
2018
Vector-valued Hirzebruch-Zagier series and class number sums. Zbl 1440.11049
Williams, Brandon
4
2018
Modular forms in Pari/GP. Zbl 1441.11003
Belabas, Karim; Cohen, Henri
4
2018
Sato-Tate distributions of twists of the Fermat and the Klein quartics. Zbl 1451.11050
Fité, Francesc; Lorenzo García, Elisa; Sutherland, Andrew V.
3
2018
Modularity of generating series of winding numbers. Zbl 1440.11104
Bruinier, Jan H.; Funke, Jens; Imamoḡlu, Özlem; Li, Yingkun
2
2018
An approximate solver for multi-medium Riemann problem with Mie-Grüneisen equations of state. Zbl 1457.76125
Chen, Li; Li, Ruo; Yao, Chengbao
2
2018
A study of elliptic gamma function and allies. Zbl 1440.11063
Paşol, Vicenţiu; Zudilin, Wadim
2
2018
On Hecke’s decomposition of the regular differentials on the modular curve of prime level. Zbl 1455.11083
Gross, Benedict H.
1
2018
On the Colmez conjecture for non-abelian CM fields. Zbl 1441.11159
Barquero-Sanchez, Adrian; Masri, Riad
1
2018
Quantum knot invariants. Zbl 1420.57037
Garoufalidis, Stavros
1
2018
Demazure flags, \(q\)-Fibonacci polynomials and hypergeometric series. Zbl 1473.17022
Biswal, Rekha; Chari, Vyjayanthi; Kus, Deniz
1
2018
The cohomology of Deligne-Lusztig varieties for the general linear group. Zbl 1430.14096
Orlik, Sascha
1
2018
Moonshine for all finite groups. Zbl 1440.11059
DeHority, Samuel; Gonzalez, Xavier; Vafa, Neekon; Van Peski, Roger
1
2018
Super-positivity of a family of \(L\)-functions in the level aspect. Zbl 1441.11199
Goldfeld, Dorian; Huang, Bingrong
1
2018
Conjectures on correspondence of symplectic modular forms of middle parahoric type and Ihara lifts. Zbl 1440.11074
Ibukiyama, Tomoyoshi
1
2018
Harmonic Maass form eigencurves. Zbl 1451.11030
Wagner, Ian
1
2018
Conic stability of polynomials. Zbl 1415.32007
Jörgens, Thorsten; Theobald, Thorsten
1
2018
On the motive of intersections of two Grassmannians in \(\mathbb{P}^9\). Zbl 1418.14002
Laterveer, Robert
1
2018
Fast Ewald summation for Green’s functions of Stokes flow in a half-space. Zbl 1458.76029
Srinivasan, Shriram; Tornberg, Anna-Karin
1
2018
Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method. Zbl 1375.65004
Jin, Shi; Liu, Jian-Guo; Ma, Zheng
25
2017
Fast Ewald summation for free-space Stokes potentials. Zbl 1360.65295
af Klinteberg, Ludvig; Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin
14
2017
Sparse operator compression of higher-order elliptic operators with rough coefficients. Zbl 1412.65215
Hou, Thomas Y.; Zhang, Pengchuan
12
2017
Integer partitions, probabilities and quantum modular forms. Zbl 1371.05021
Ngo, Hieu T.; Rhoades, Robert C.
9
2017
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Cited by 1,424 Authors

33 Guo, Victor J. W.
29 Bringmann, Kathrin
16 Rolen, Larry
15 Duncan, John F. R.
15 Folsom, Amanda L.
15 Milas, Antun
13 Harrison, Sarah M.
12 Cheng, Miranda C. N.
12 Jin, Shi
10 Ono, Ken
10 Osher, Stanley Joel
9 Creutzig, Thomas
9 Osburn, Robert
8 de Wolff, Timo
8 Harvey, Jeffrey A.
8 Lovejoy, Jeremy
7 Aubert, Anne-Marie
7 Garoufalidis, Stavros
7 Kachru, Shamit
7 Kalita, Gautam
7 Markwig, Hannah
7 Paquette, Natalie M.
7 Tornberg, Anna-Karin
7 Tsai, Yen-Hsi Richard
7 Volpato, Roberto
7 Zudilin, Wadim
6 Chung, Tsz Shun Eric
6 E, Weinan
6 Hou, Thomas Yizhao
6 Kane, Ben
6 Liu, Liu
6 Maynard, James
6 Morrison, Ralph
6 Schlotterer, Oliver
6 Solleveld, Maarten
6 Vatwani, Akshaa
6 Wang, Xiaoxia
6 Yin, Jia
6 Ying, Lexing
5 Benjamin, Nathan
5 Darbon, Jerome
5 Darmon, Henri René
5 Dressler, Mareike
5 Heim, Bernhard Ernst
5 Jana, Arijit
5 Kim, Byungchan
5 Lei, Antonio
5 Liu, Jicai
5 Loeffler, David
5 Lu, Jianfeng
5 Manschot, Jan
5 Mertens, Michael Helmut
5 Neuhauser, Markus
5 Rotger, Victor
5 Schlosser, Michael J.
5 Shi, Zuoqiang
5 Theobald, Thorsten
5 Williams, Brandon
5 Zhu, Yuhua
4 Alexandrov, Sergei Yu.
4 Baum, Paul Frank
4 Büyükboduk, Kâzim
4 Chow, Yat Tin
4 Griffin, Michael J.
4 Hajij, Mustafa
4 Kang, Wei
4 Kaszián, Jonas
4 Kiselev, Alexander A.
4 Lattanzio, Corrado
4 Lee, Christine Ruey Shan
4 Len, Yoav
4 Mahlburg, Karl
4 Marcati, Pierangelo
4 Murthy, Sameer
4 Murty, Maruti Ram
4 Naumann, Helen
4 Plymen, Roger J.
4 Pollack, Paul
4 Ranganathan, Dhruv
4 Raum, Martin
4 Shu, Ruiwen
4 Sodomaco, Luca
4 Stapledon, Alan
4 Swisher, Holly
4 Tao, Terence
4 Venturi, Daniele
4 Wolfson, Jesse
4 Zhelyazov, Delyan
4 Zhu, Wei
4 Zimet, Max
3 Alfes-Neumann, Claudia
3 Anas Hahn, Marvin
3 Anderson, Lara B.
3 Bae, Jinbeom
3 Bajbar, Tomáš
3 Baker, Roger C.
3 Beckwith, Olivia
3 Beneish, Lea
3 Bojkovic, Velibor
3 Bräunling, Oliver
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Cited in 239 Journals

56 Research in the Mathematical Sciences
45 Journal of High Energy Physics
44 Journal of Computational Physics
40 Journal of Number Theory
30 Advances in Mathematics
22 Research in Number Theory
18 Proceedings of the American Mathematical Society
17 Journal of Mathematical Analysis and Applications
17 Transactions of the American Mathematical Society
16 Journal of Scientific Computing
15 Mathematische Annalen
15 SIAM Journal on Scientific Computing
15 The Ramanujan Journal
15 Multiscale Modeling & Simulation
13 Communications in Mathematical Physics
13 Selecta Mathematica. New Series
13 International Journal of Number Theory
12 Mathematische Zeitschrift
11 Results in Mathematics
11 Advances in Applied Mathematics
10 Acta Arithmetica
8 Mathematics of Computation
8 Journal of Combinatorial Theory. Series A
8 Journal de Théorie des Nombres de Bordeaux
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Forum of Mathematics, Sigma
7 Inventiones Mathematicae
7 Journal of Algebra
7 Journal of Differential Equations
7 Physica D
7 Forum Mathematicum
7 Documenta Mathematica
7 Communications in Computational Physics
7 Algebra & Number Theory
6 Computer Methods in Applied Mechanics and Engineering
6 Pacific Journal of Mathematics
6 Journal of Symbolic Computation
6 Journal of Physics A: Mathematical and Theoretical
6 SIAM Journal on Imaging Sciences
5 Bulletin of the Australian Mathematical Society
5 Journal of Mathematical Physics
5 Journal of Computational and Applied Mathematics
5 Journal of Pure and Applied Algebra
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 SIAM Journal on Mathematical Analysis
5 Bulletin of the American Mathematical Society. New Series
5 SIAM Journal on Optimization
5 Journal of Nonlinear Science
5 Geometry & Topology
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 European Journal of Mathematics
5 SIAM Journal on Applied Algebra and Geometry
4 Israel Journal of Mathematics
4 Archiv der Mathematik
4 Compositio Mathematica
4 Journal für die Reine und Angewandte Mathematik
4 Manuscripta Mathematica
4 European Journal of Applied Mathematics
4 Journal of Knot Theory and its Ramifications
4 Journal of Mathematical Imaging and Vision
4 Experimental Mathematics
4 Integral Transforms and Special Functions
4 Journal of Difference Equations and Applications
4 Annals of Combinatorics
4 Journal of the European Mathematical Society (JEMS)
4 Communications in Contemporary Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Advances in Applied Mathematics and Mechanics
4 SIAM/ASA Journal on Uncertainty Quantification
3 Archive for Rational Mechanics and Analysis
3 Letters in Mathematical Physics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Nonlinearity
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Acta Mathematica Vietnamica
3 Publications Mathématiques
3 SIAM Journal on Numerical Analysis
3 Bulletin of the Korean Mathematical Society
3 Journal of the American Mathematical Society
3 Linear Algebra and its Applications
3 Journal of Algebraic Geometry
3 Vietnam Journal of Mathematics
3 Annals of Mathematics. Second Series
3 Annales Henri Poincaré
3 Integers
3 Advances in Geometry
3 Journal of the Australian Mathematical Society
3 Journal of Machine Learning Research (JMLR)
3 Annales Mathématiques du Québec
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Algebraic Combinatorics
3 SN Partial Differential Equations and Applications
2 Computers & Mathematics with Applications
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Statistical Physics
2 Mathematical Notes
2 Beiträge zur Algebra und Geometrie
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
...and 139 more Journals
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Cited in 57 Fields

460 Number theory (11-XX)
187 Algebraic geometry (14-XX)
162 Numerical analysis (65-XX)
155 Partial differential equations (35-XX)
106 Combinatorics (05-XX)
97 Quantum theory (81-XX)
92 Special functions (33-XX)
64 Computer science (68-XX)
55 Probability theory and stochastic processes (60-XX)
50 Fluid mechanics (76-XX)
45 Group theory and generalizations (20-XX)
44 Manifolds and cell complexes (57-XX)
44 Relativity and gravitational theory (83-XX)
41 Nonassociative rings and algebras (17-XX)
31 Dynamical systems and ergodic theory (37-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
31 Statistical mechanics, structure of matter (82-XX)
29 Convex and discrete geometry (52-XX)
28 Operations research, mathematical programming (90-XX)
26 Statistics (62-XX)
23 Differential geometry (53-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Several complex variables and analytic spaces (32-XX)
17 Commutative algebra (13-XX)
17 Biology and other natural sciences (92-XX)
16 Field theory and polynomials (12-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
15 Topological groups, Lie groups (22-XX)
15 Optics, electromagnetic theory (78-XX)
12 \(K\)-theory (19-XX)
12 Approximations and expansions (41-XX)
12 Mechanics of deformable solids (74-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Information and communication theory, circuits (94-XX)
10 Real functions (26-XX)
10 Functions of a complex variable (30-XX)
9 Operator theory (47-XX)
8 Algebraic topology (55-XX)
8 Systems theory; control (93-XX)
7 Ordinary differential equations (34-XX)
6 Geometry (51-XX)
6 Geophysics (86-XX)
5 Category theory; homological algebra (18-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Mechanics of particles and systems (70-XX)
4 History and biography (01-XX)
3 General and overarching topics; collections (00-XX)
3 Associative rings and algebras (16-XX)
3 Sequences, series, summability (40-XX)
3 Functional analysis (46-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Measure and integration (28-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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