# zbMATH — the first resource for mathematics

## Research in Number Theory

 Short Title: Res. Number Theory Publisher: Springer International Publishing (SpringerOpen), Cham ISSN: 2522-0160; 2363-9555/e Online: http://link.springer.com/journal/volumesAndIssues/40993https://resnumtheor.springeropen.com Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2015). This journal is available open access.
 Documents Indexed: 283 Publications (since 2015) References Indexed: 282 Publications with 5,817 References.
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#### Latest Issues

 7, No. 4 (2021) 7, No. 3 (2021) 7, No. 2 (2021) 7, No. 1 (2021) 6, No. 4 (2020) 6, No. 3 (2020) 6, No. 2 (2020) 6, No. 1 (2020) 5, No. 4 (2019) 5, No. 3 (2019) 5, No. 2 (2019) 5, No. 1 (2019) 4, No. 4 (2018) 4, No. 3 (2018) 4, No. 2 (2018) 4, No. 1 (2018) 3 (2017) 2 (2016) 1 (2015)
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#### Authors

 6 Barman, Rupam 5 Heim, Bernhard Ernst 5 Neuhauser, Markus 4 Larson, Hannah K. 4 Masri, Riad 4 Swisher, Holly 3 Bringmann, Kathrin 3 Kane, Ben 3 Kedlaya, Kiran Sridhara 3 Lalín, Matilde N. 3 Luca, Florian 3 Mertens, Michael Helmut 3 Miller, Steven J. 3 Ono, Ken 3 Rolen, Larry 3 Siksek, Samir 3 Wagner, Ian 3 Zemel, Shaul 2 Andersen, Nickolas 2 Andrews, George Eyre 2 Barbero, Stefano 2 Barquero-Sanchez, Adrian 2 Beckwith, Olivia 2 Cerruti, Umberto 2 Chetry, Arjun Singh 2 Costa, Edgar 2 Dixit, Atul 2 Fisher, Tom A. 2 Gillman, Nate 2 Ginzburg, David 2 Iskander, Jonas 2 Jacobs, Kenneth S. 2 Jain, Vanshika 2 Jennings-Shaffer, Chris 2 Kalita, Gautam 2 Kohnen, Winfried 2 Landesman, Aaron 2 Locus, Madeline 2 Lozano-Robledo, Álvaro 2 Males, Joshua 2 Mantilla-Soler, Guillermo 2 Matsusaka, Toshiki 2 Murru, Nadir 2 O’Sullivan, Cormac 2 Park, Peter Seho 2 Patel, Vandita 2 Pomerance, Carl Bernard 2 Raji, Wissam 2 Raum, Martin 2 Swaminathan, Ashvin Anand 2 Trebat-Leder, Sarah 2 Tripathi, Mohit 2 Tsai, Wei-Lun 2 Vignat, Christophe 2 Vincent, Christelle 2 Voight, John Michael 2 Voloch, José Felipe 2 Widmer, Martin 2 Williams, Brandon 2 Zhai, Wenguang 1 Agnihotri, Rishabh 1 Ahlgren, Scott D. 1 Alberts, Brandon 1 Alfes-Neumann, Claudia 1 Ali, Asra 1 Alkan, Emre 1 Allen, Kenneth R. 1 Alwaise, Ethan 1 Alweiss, Ryan 1 Amano, Fumiya 1 Andrade, Julio Cesar 1 Anni, Samuele 1 Aoki, Miho 1 Arnold-Roksandich, Allison 1 Asakura, Masanori 1 Babecki, Catherine 1 Bag, Nilanjan 1 Baier, Stephan 1 Baluyot, Siegfred Alan C. 1 Banerjee, Debargha 1 Banwait, Barinder S. 1 Barrett, Owen 1 Baruah, Nayandeep Deka 1 Bell, Renee 1 Benedetto, Robert L. 1 Bennett, Michael A. 1 Berger, Tobias 1 Bergvall, Olof 1 Blakestad, Clifford 1 Böckle, Gebhard 1 Booher, Jeremy 1 Booker, Andrew R. 1 Böttcher, Albrecht 1 Box, Josha 1 Braun, Joschka J. 1 Breuer, Felix 1 Bridges, Walter 1 Brooks, Ernest Hunter 1 Bruin, Nils 1 Bruin, Peter ...and 369 more Authors
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#### Fields

 267 Number theory (11-XX) 51 Algebraic geometry (14-XX) 30 Combinatorics (05-XX) 20 Special functions (33-XX) 6 Group theory and generalizations (20-XX) 5 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Functions of a complex variable (30-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

136 Publications have been cited 393 times in 360 Documents Cited by Year
Partitions associated with the Ramanujan/Watson mock theta functions $$\omega(q)$$, $$\nu(q)$$ and $$\phi(q)$$. Zbl 1386.11108
Andrews, George E.; Dixit, Atul; Yee, Ae Ja
2015
Elliptic curves over $$\mathbb {Q}$$ and 2-adic images of Galois. Zbl 1397.11095
Rouse, Jeremy; Zureick-Brown, David
2015
Weierstrass mock modular forms and elliptic curves. Zbl 1388.11019
Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry
2015
Partition zeta functions. Zbl 1405.11137
Schneider, Robert
2016
A criterion to rule out torsion groups for elliptic curves over number fields. Zbl 1408.11053
Bruin, Peter; Najman, Filip
2016
Moments of zeta and correlations of divisor-sums. IV. Zbl 1411.11074
Conrey, Brian; Keating, Jonathan P.
2016
Quantum mock modular forms arising from eta-theta functions. Zbl 1418.11099
Folsom, Amanda; Garthwaite, Sharon; Kang, Soon-Yi; Swisher, Holly; Treneer, Stephanie
2016
Criteria for the existence of cuspidal theta representations. Zbl 1360.11073
Friedberg, Solomon; Ginzburg, David
2016
On powers that are sums of consecutive like powers. Zbl 1358.11052
Patel, Vandita; Siksek, Samir
2017
A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins. Zbl 1405.11138
Breuer, Felix; Kronholm, Brandt
2016
A Gross-Kohnen-Zagier type theorem for higher-codimensional Heegner cycles. Zbl 1359.11066
Zemel, Shaul
2015
A new formula for Chebotarev densities. Zbl 1432.11168
2017
Isogeny graphs of ordinary abelian varieties. Zbl 1411.11049
Brooks, Ernest Hunter; Jetchev, Dimitar; Wesolowski, Benjamin
2017
A large arboreal Galois representation for a cubic postcritically finite polynomial. Zbl 1427.11118
Benedetto, Robert L.; Faber, Xander; Hutz, Benjamin; Juul, Jamie; Yasufuku, Yu
2017
Hyperbolicity of the partition Jensen polynomials. Zbl 1466.11073
Larson, Hannah; Wagner, Ian
2019
Perturbed moments and a longer mollifier for critical zeros of $$\zeta$$. Zbl 1444.11170
Pratt, Kyle; Robles, Nicolas
2018
The Mahler measure for arbitrary tori. Zbl 1454.11195
Lalín, Matilde; Mittal, Tushant
2018
Average bounds for the $$\ell$$-torsion in class groups of cyclic extensions. Zbl 1444.11217
Frei, Christopher; Widmer, Martin
2018
Formulas for Chebotarev densities of Galois extensions of number fields. Zbl 1459.11218
Sweeting, Naomi; Woo, Katharine
2019
Characterization of global fields by Dirichlet $$L$$-series. Zbl 1460.11137
Cornelissen, Gunther; de Smit, Bart; Li, Xin; Marcolli, Matilde; Smit, Harry
2019
On classical groups detected by the triple tensor product and the Littlewood-Richardson semigroup. Zbl 1421.11048
Hahn, Heekyoung
2016
Configuration of the crucial set for a quadratic rational map. Zbl 1391.37086
Doyle, John R.; Jacobs, Kenneth; Rumely, Robert
2016
Exact formulae for the fractional partition functions. Zbl 1445.11116
Iskander, Jonas; Jain, Vanshika; Talvola, Victoria
2020
Irreducible canonical representations in positive characteristic. Zbl 1379.14018
Gunby, Benjamin; Smith, Alexander; Yuan, Allen
2015
Sturm bounds for Siegel modular forms. Zbl 1378.11057
Richter, Olav K.; Westerholt-Raum, Martin
2015
On Fermat’s equation over some quadratic imaginary number fields. Zbl 1444.11050
Ţurcaş, George C.
2018
Records on the vanishing of Fourier coefficients of powers of the Dedekind eta function. Zbl 1453.11055
Heim, Bernhard; Neuhauser, Markus; Weisse, Alexander
2018
Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function. Zbl 1379.11054
Ahlgren, Scott; Andersen, Nickolas
2015
Asymptotics and congruences for partition functions which arise from finitary permutation groups. Zbl 1415.11135
Cotron, Tessa; Dicks, Robert; Fleming, Sarah
2016
Cuspidal part of an Eisenstein series restricted to an index 2 subfield. Zbl 1402.11062
Hu, Yueke
2016
Vector-valued modular forms and the mock theta conjectures. Zbl 1402.11071
Andersen, Nickolas
2016
Divisibility properties of sporadic Apéry-like numbers. Zbl 1404.11015
Malik, Amita; Straub, Armin
2016
Residual representations of semistable principally polarized abelian varieties. Zbl 1405.11070
Anni, Samuele; Lemos, Pedro; Siksek, Samir
2016
Ramification in the division fields of elliptic curves with potential supersingular reduction. Zbl 1405.11076
Lozano-Robledo, Álvaro
2016
Variants of an partition inequality of Bessenrodt-Ono. Zbl 1427.05023
Heim, Bernhard; Neuhauser, Markus
2019
On the reciprocal of Klein’s absolute $$j$$-invariant and sign changes. Zbl 1467.11045
Heim, Bernhard; Neuhauser, Markus
2020
The Mordell integral, quantum modular forms, and mock Jacobi forms. Zbl 1378.11058
2015
A formulation of $$p$$-adic versions of the Birch and Swinnerton-Dyer conjectures in the supersingular case. Zbl 1419.11094
Sprung, Florian
2015
Endomorphism fields of abelian varieties. Zbl 1441.11154
Guralnick, Robert; Kedlaya, Kiran S.
2017
One-level density for holomorphic cusp forms of arbitrary level. Zbl 1441.11212
Barrett, Owen; Burkhardt, Paula; DeWitt, Jonathan; Dorward, Robert; Miller, Steven J.
2017
A finite field analogue of the Appell series $$F_4$$. Zbl 1428.33028
Tripathi, Mohit; Barman, Rupam
2018
Cohen-Lenstra heuristics and local conditions. Zbl 1441.11291
Wood, Melanie Matchett
2018
A $$q$$-analogue for Euler’s evaluations of the Riemann zeta function. Zbl 1459.11050
Goswami, Ankush
2019
Newton polygons arising from special families of cyclic covers of the projective line. Zbl 1460.11088
Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing
2019
Divisibility of Andrews’ singular overpartitions by powers of 2 and 3. Zbl 1416.05027
Barman, Rupam; Ray, Chiranjit
2019
Dirichlet series associated to quartic fields with given cubic resolvent. Zbl 1411.11099
Cohen, Henri; Thorne, Frank
2016
Traces of high powers of the Frobenius class in the moduli space of hyperelliptic curves. Zbl 1411.11058
Chinis, Iakovos Jake
2016
Half-integral weight $$p$$-adic coupling of weakly holomorphic and holomorphic modular forms. Zbl 1380.11043
Bringmann, Kathrin; Guerzhoy, Pavel; Kane, Ben
2015
A correspondence of modular forms and applications to values of $$L$$-series. Zbl 1380.11026
Diamantis, Nikolaos; Neururer, Michael; Strömberg, Fredrik
2015
Square-full polynomials in short intervals and in arithmetic progressions. Zbl 1370.11134
Roditty-Gershon, E.
2017
Congruences for generalized Apéry numbers and Gaussian hypergeometric series. Zbl 1358.11013
Kalita, Gautam; Chetry, Arjun Singh
2017
Some mixed character sum identities of Katz. II. Zbl 1418.11156
Evans, Ron; Greene, John
2017
Non-vanishing of $$L$$-functions associated to cusp forms of half-integral weight in the plus space. Zbl 1405.11057
Kohnen, Winfried; Raji, Wissam
2017
The asymptotic profile of an eta-theta quotient related to entanglement entropy in string theory. Zbl 1453.11061
Males, Joshua
2020
Splitting behavior of $$S_n$$-polynomials. Zbl 1378.11092
Lagarias, Jeffrey C.; Weiss, Benjamin L.
2015
A Kronecker limit formula for totally real fields and arithmetic applications. Zbl 1378.11096
2015
Andrews-Gordon style identities. Zbl 1378.11090
Larson, Hannah
2015
Non-Archimedean Hénon maps, attractors, and horseshoes. Zbl 1420.37120
Allen, Kenneth; DeMark, David; Petsche, Clayton
2018
Uniform boundedness in terms of ramification. Zbl 1439.11137
Lozano-Robledo, Álvaro
2018
Indecomposable vector-valued modular forms and periods of modular curves. Zbl 1444.11065
Candelori, Luca; Hartland, Tucker; Marks, Christopher; Yépez, Diego
2018
Quantum modular forms and Hecke operators. Zbl 1441.11139
Lee, Seewoo
2018
Examples of genuine QM abelian surfaces which are modular. Zbl 1456.11069
Schembri, Ciaran
2019
Shifted powers in Lucas-Lehmer sequences. Zbl 1435.11067
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
2019
On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono. Zbl 1379.11055
Mertens, Michael H.; Rolen, Larry
2015
Quasi-modularity of generalized sum-of-divisors functions. Zbl 1379.11046
Rose, Simon C. F.
2015
Explicit computations of Hida families via overconvergent modular symbols. Zbl 1417.11055
Dummit, Evan P.; Hablicsek, Márton; Harron, Robert; Jain, Lalit; Pollack, Robert; Ross, Daniel
2016
On the irrationality of generalized $$q$$-logarithm. Zbl 1415.11099
2016
An explicit form of the polynomial part of a restricted partition function. Zbl 1392.11080
Dilcher, Karl; Vignat, Christophe
2017
The number of parts in certain residue classes of integer partitions. Zbl 1377.11110
Beckwith, Olivia; Mertens, Michael H.
2015
The order of nilpotence of Hecke operators mod 2: a new proof. Zbl 1402.11066
Gerbelli-Gauthier, Mathilde
2016
Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields. Zbl 1468.11256
Languasco, Alessandro
2021
On the least common multiple of random $$q$$-integers. Zbl 07326375
Sanna, Carlo
2021
On the nonexistence of automorphic eigenfunctions of exponential growth on $$\operatorname{SL}(3,\mathbb Z)\setminus \operatorname{SL}(3,\mathbb R)/\operatorname{SO}(3,\mathbb R)$$. Zbl 07131201
Miller, Stephen D.; Trinh, Tien
2019
On ternary Egyptian fractions with prime denominator. Zbl 1455.11057
Luca, Florian; Pappalardi, Francesco
2019
Computing abelian varieties over finite fields isogenous to a power. Zbl 1457.11092
Marseglia, Stefano
2019
A complete study of the ramification for any separable cubic global function field. Zbl 1464.11121
Marques, Sophie; Ward, Jacob
2019
Joint distribution of inverses in matrix groups over finite fields. Zbl 1434.11075
Perret-Gentil, Corentin
2019
Constants in Titchmarsh divisor problems for elliptic curves. Zbl 1434.11199
Bell, Renee; Blakestad, Clifford; Cojocaru, Alina Carmen; Cowan, Alexander; Jones, Nathan; Matei, Vlad; Smith, Geoffrey; Vogt, Isabel
2020
Patterns of primes in the Sato-Tate conjecture. Zbl 1456.11174
Gillman, Nate; Kural, Michael; Pascadi, Alexandru; Peng, Junyao; Sah, Ashwin
2019
Converse theorems for automorphic distributions and Maass forms of level $$N$$. Zbl 1465.11116
Miyazaki, Tadashi; Sato, Fumihiro; Sugiyama, Kazunari; Ueno, Takahiko
2020
The weak form of Malle’s conjecture and solvable groups. Zbl 07148170
Alberts, Brandon
2020
Modular forms with large coefficient fields via congruences. Zbl 1378.11052
Dieulefait, Luis Víctor; Jiménez Urroz, Jorge; Ribet, Kenneth Alan
2015
Quadratic reciprocity and Riemann’s non-differentiable function. Zbl 1378.11009
Chakraborty, Kalyan; Kanemitsu, Shigeru; Long, Li Hai
2015
Unimodal sequence generating functions arising from partition ranks. Zbl 1416.05016
Bringmann, Kathrin; Jennings-Shaffer, Chris
2019
Cracking the problem with 33. Zbl 07086218
Booker, Andrew R.
2019
Almost universal ternary sums of polygonal numbers. Zbl 1456.11041
Haensch, Anna; Kane, Ben
2018
Quantitative logarithmic equidistribution of the crucial measures. Zbl 1441.37104
Jacobs, Kenneth S.
2018
Cartan images and $$\ell$$-torsion points of elliptic curves with rational $$j$$-invariant. Zbl 1444.11121
Propp, Oron Y.
2018
Equidistribution of signs for Hilbert modular forms of half-integral weight. Zbl 1441.11105
Kaushik, Surjeet; Kumar, Narasimha; Tanabe, Naomi
2018
On the de-Rham cohomology of hyperelliptic curves. Zbl 07086294
Köck, Bernhard; Tait, Joseph
2018
An algorithm for numerically inverting the modular $$j$$-function. Zbl 1441.11080
Alwaise, Ethan
2018
On the arithmetic of simple singularities of type $$E$$. Zbl 1441.14080
Romano, Beth; Thorne, Jack A.
2018
A cubic transformation formula for Appell-Lauricella hypergeometric functions over finite fields. Zbl 1462.33011
Frechette, Sharon; Swisher, Holly; Tu, Fang-Ting
2018
Extension of Whittaker functions and test vectors. Zbl 1444.11101
Kurinczuk, R.; Matringe, N.
2018
Brauer-Manin obstructions on degree 2 K3 surfaces. Zbl 07086383
Corn, Patrick; Nakahara, Masahiro
2018
Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers. Zbl 1444.11074
O’Sullivan, Cormac
2018
Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions. Zbl 1441.11028
Cordwell, Katherine; Hlavacek, Max; Huynh, Chi; Miller, Steven J.; Peterson, Carsten; Vu, Yen Nhi Truong
2018
Holomorphy of adjoint $$L$$ functions for quasisplit $$A_2$$. Zbl 1441.11116
Hundley, Joseph
2018
Non-residually finite extensions of arithmetic groups. Zbl 1462.11048
Hill, Richard M.
2019
Apéry-like numbers and families of newforms with complex multiplication. Zbl 1456.11053
Gomez, Alexis; McCarthy, Dermot; Young, Dylan
2019
Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields. Zbl 1468.11256
Languasco, Alessandro
2021
On the least common multiple of random $$q$$-integers. Zbl 07326375
Sanna, Carlo
2021
Diophantine $$m$$-tuples in finite fields and modular forms. Zbl 1459.11095
Dujella, Andrej; Kazalicki, Matija
2021
Everywhere local solubility for hypersurfaces in products of projective spaces. Zbl 1468.11150
Fisher, Tom; Ho, Wei; Park, Jennifer
2021
Towards Heim and Neuhauser’s unimodality conjecture on the Nekrasov-Okounkov polynomials. Zbl 1460.05017
Hong, Letong; Zhang, Shengtong
2021
Rational functions, cotangent sums and Eichler integrals. Zbl 07336789
Franke, Johann
2021
Exact formulae for the fractional partition functions. Zbl 1445.11116
Iskander, Jonas; Jain, Vanshika; Talvola, Victoria
2020
On the reciprocal of Klein’s absolute $$j$$-invariant and sign changes. Zbl 1467.11045
Heim, Bernhard; Neuhauser, Markus
2020
The asymptotic profile of an eta-theta quotient related to entanglement entropy in string theory. Zbl 1453.11061
Males, Joshua
2020
Constants in Titchmarsh divisor problems for elliptic curves. Zbl 1434.11199
Bell, Renee; Blakestad, Clifford; Cojocaru, Alina Carmen; Cowan, Alexander; Jones, Nathan; Matei, Vlad; Smith, Geoffrey; Vogt, Isabel
2020
Converse theorems for automorphic distributions and Maass forms of level $$N$$. Zbl 1465.11116
Miyazaki, Tadashi; Sato, Fumihiro; Sugiyama, Kazunari; Ueno, Takahiko
2020
The weak form of Malle’s conjecture and solvable groups. Zbl 07148170
Alberts, Brandon
2020
A proof of a conjecture on trace-zero forms and shapes of number fields. Zbl 07304530
Mantilla-Soler, Guillermo; Rivera-Guaca, Carlos
2020
Inequalities between sums over prime numbers in progressions. Zbl 07304531
Alkan, Emre
2020
All modular forms of weight 2 can be expressed by Eisenstein series. Zbl 1461.11067
Raum, Martin; Xia, Jiacheng
2020
Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series. Zbl 1466.11024
Jorgenson, Jay; O&rsquo;Sullivan, Cormac; Smajlović, Lejla
2020
Hyperbolicity of Appell polynomials of functions in the $$\delta$$-Laguerre-Pòya class. (Hyperbolicity of Appell polynomials of functions in the $$\delta$$-Laguerre-Pólya class.) Zbl 07329835
Iskander, Jonas; Jain, Vanshika
2020
Certain product formulas and values of Gaussian hypergeometric series. Zbl 1467.33004
Tripathi, Mohit; Barman, Rupam
2020
Hyperbolicity of the partition Jensen polynomials. Zbl 1466.11073
Larson, Hannah; Wagner, Ian
2019
Formulas for Chebotarev densities of Galois extensions of number fields. Zbl 1459.11218
Sweeting, Naomi; Woo, Katharine
2019
Characterization of global fields by Dirichlet $$L$$-series. Zbl 1460.11137
Cornelissen, Gunther; de Smit, Bart; Li, Xin; Marcolli, Matilde; Smit, Harry
2019
Variants of an partition inequality of Bessenrodt-Ono. Zbl 1427.05023
Heim, Bernhard; Neuhauser, Markus
2019
A $$q$$-analogue for Euler’s evaluations of the Riemann zeta function. Zbl 1459.11050
Goswami, Ankush
2019
Newton polygons arising from special families of cyclic covers of the projective line. Zbl 1460.11088
Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing
2019
Divisibility of Andrews’ singular overpartitions by powers of 2 and 3. Zbl 1416.05027
Barman, Rupam; Ray, Chiranjit
2019
Examples of genuine QM abelian surfaces which are modular. Zbl 1456.11069
Schembri, Ciaran
2019
Shifted powers in Lucas-Lehmer sequences. Zbl 1435.11067
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
2019
On the nonexistence of automorphic eigenfunctions of exponential growth on $$\operatorname{SL}(3,\mathbb Z)\setminus \operatorname{SL}(3,\mathbb R)/\operatorname{SO}(3,\mathbb R)$$. Zbl 07131201
Miller, Stephen D.; Trinh, Tien
2019
On ternary Egyptian fractions with prime denominator. Zbl 1455.11057
Luca, Florian; Pappalardi, Francesco
2019
Computing abelian varieties over finite fields isogenous to a power. Zbl 1457.11092
Marseglia, Stefano
2019
A complete study of the ramification for any separable cubic global function field. Zbl 1464.11121
Marques, Sophie; Ward, Jacob
2019
Joint distribution of inverses in matrix groups over finite fields. Zbl 1434.11075
Perret-Gentil, Corentin
2019
Patterns of primes in the Sato-Tate conjecture. Zbl 1456.11174
Gillman, Nate; Kural, Michael; Pascadi, Alexandru; Peng, Junyao; Sah, Ashwin
2019
Unimodal sequence generating functions arising from partition ranks. Zbl 1416.05016
Bringmann, Kathrin; Jennings-Shaffer, Chris
2019
Cracking the problem with 33. Zbl 07086218
Booker, Andrew R.
2019
Non-residually finite extensions of arithmetic groups. Zbl 1462.11048
Hill, Richard M.
2019
Apéry-like numbers and families of newforms with complex multiplication. Zbl 1456.11053
Gomez, Alexis; McCarthy, Dermot; Young, Dylan
2019
Traces of CM values and cycle integrals of polyharmonic Maass forms. Zbl 1456.11076
Matsusaka, Toshiki
2019
On the Laxton group. Zbl 1435.11029
Aoki, Miho; Kida, Masanari
2019
An effective bound for the partition function. Zbl 1451.11112
Khaochim, Narissara; Masri, Riad; Tsai, Wei-Lun
2019
Recognizing Galois representations of K3 surfaces. Zbl 1457.11096
Klevdal, Christian
2019
On the distribution of rank and crank statistics for integer partitions. Zbl 1451.11113
Zhou, Nian Hong
2019
Counting rational points on Kummer surfaces. Zbl 1442.14040
Malmendier, Andreas; Sung, Yih
2019
Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. II. Zbl 07096772
Tsushima, Takahiro
2019
Perturbed moments and a longer mollifier for critical zeros of $$\zeta$$. Zbl 1444.11170
Pratt, Kyle; Robles, Nicolas
2018
The Mahler measure for arbitrary tori. Zbl 1454.11195
Lalín, Matilde; Mittal, Tushant
2018
Average bounds for the $$\ell$$-torsion in class groups of cyclic extensions. Zbl 1444.11217
Frei, Christopher; Widmer, Martin
2018
On Fermat’s equation over some quadratic imaginary number fields. Zbl 1444.11050
Ţurcaş, George C.
2018
Records on the vanishing of Fourier coefficients of powers of the Dedekind eta function. Zbl 1453.11055
Heim, Bernhard; Neuhauser, Markus; Weisse, Alexander
2018
A finite field analogue of the Appell series $$F_4$$. Zbl 1428.33028
Tripathi, Mohit; Barman, Rupam
2018
Cohen-Lenstra heuristics and local conditions. Zbl 1441.11291
Wood, Melanie Matchett
2018
Non-Archimedean Hénon maps, attractors, and horseshoes. Zbl 1420.37120
Allen, Kenneth; DeMark, David; Petsche, Clayton
2018
Uniform boundedness in terms of ramification. Zbl 1439.11137
Lozano-Robledo, Álvaro
2018
Indecomposable vector-valued modular forms and periods of modular curves. Zbl 1444.11065
Candelori, Luca; Hartland, Tucker; Marks, Christopher; Yépez, Diego
2018
Quantum modular forms and Hecke operators. Zbl 1441.11139
Lee, Seewoo
2018
Almost universal ternary sums of polygonal numbers. Zbl 1456.11041
Haensch, Anna; Kane, Ben
2018
Quantitative logarithmic equidistribution of the crucial measures. Zbl 1441.37104
Jacobs, Kenneth S.
2018
Cartan images and $$\ell$$-torsion points of elliptic curves with rational $$j$$-invariant. Zbl 1444.11121
Propp, Oron Y.
2018
Equidistribution of signs for Hilbert modular forms of half-integral weight. Zbl 1441.11105
Kaushik, Surjeet; Kumar, Narasimha; Tanabe, Naomi
2018
On the de-Rham cohomology of hyperelliptic curves. Zbl 07086294
Köck, Bernhard; Tait, Joseph
2018
An algorithm for numerically inverting the modular $$j$$-function. Zbl 1441.11080
Alwaise, Ethan
2018
On the arithmetic of simple singularities of type $$E$$. Zbl 1441.14080
Romano, Beth; Thorne, Jack A.
2018
A cubic transformation formula for Appell-Lauricella hypergeometric functions over finite fields. Zbl 1462.33011
Frechette, Sharon; Swisher, Holly; Tu, Fang-Ting
2018
Extension of Whittaker functions and test vectors. Zbl 1444.11101
Kurinczuk, R.; Matringe, N.
2018
Brauer-Manin obstructions on degree 2 K3 surfaces. Zbl 07086383
Corn, Patrick; Nakahara, Masahiro
2018
Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers. Zbl 1444.11074
O&rsquo;Sullivan, Cormac
2018
Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions. Zbl 1441.11028
Cordwell, Katherine; Hlavacek, Max; Huynh, Chi; Miller, Steven J.; Peterson, Carsten; Vu, Yen Nhi Truong
2018
Holomorphy of adjoint $$L$$ functions for quasisplit $$A_2$$. Zbl 1441.11116
Hundley, Joseph
2018
On powers that are sums of consecutive like powers. Zbl 1358.11052
Patel, Vandita; Siksek, Samir
2017
A new formula for Chebotarev densities. Zbl 1432.11168
2017
Isogeny graphs of ordinary abelian varieties. Zbl 1411.11049
Brooks, Ernest Hunter; Jetchev, Dimitar; Wesolowski, Benjamin
2017
A large arboreal Galois representation for a cubic postcritically finite polynomial. Zbl 1427.11118
Benedetto, Robert L.; Faber, Xander; Hutz, Benjamin; Juul, Jamie; Yasufuku, Yu
2017
Endomorphism fields of abelian varieties. Zbl 1441.11154
Guralnick, Robert; Kedlaya, Kiran S.
2017
One-level density for holomorphic cusp forms of arbitrary level. Zbl 1441.11212
Barrett, Owen; Burkhardt, Paula; DeWitt, Jonathan; Dorward, Robert; Miller, Steven J.
2017
Square-full polynomials in short intervals and in arithmetic progressions. Zbl 1370.11134
Roditty-Gershon, E.
2017
Congruences for generalized Apéry numbers and Gaussian hypergeometric series. Zbl 1358.11013
Kalita, Gautam; Chetry, Arjun Singh
2017
Some mixed character sum identities of Katz. II. Zbl 1418.11156
Evans, Ron; Greene, John
2017
Non-vanishing of $$L$$-functions associated to cusp forms of half-integral weight in the plus space. Zbl 1405.11057
Kohnen, Winfried; Raji, Wissam
2017
An explicit form of the polynomial part of a restricted partition function. Zbl 1392.11080
Dilcher, Karl; Vignat, Christophe
2017
Conjugacy growth series for finitary wreath products. Zbl 1360.05014
2017
Faltings heights of CM elliptic curves and special gamma values. Zbl 1405.11081
2017
Conjugacy growth series for wreath product finitary symmetric groups. Zbl 1428.20007
Wagner, Ian
2017
Linear incongruences for generalized eta-quotients. Zbl 1405.11044
Löbrich, Steffen
2017
A lower bound for biases amongst products of two primes. Zbl 1405.11120
Hough, Patrick
2017
Primitive elements for $$p$$-divisible groups. Zbl 06789147
Kottwitz, Robert; Wake, Preston
2017
Triangles with prime hypotenuse. Zbl 1426.11095
Chow, Sam; Pomerance, Carl
2017
Decomposition types in minimally tamely ramified extensions of $$\mathbb Q$$. Zbl 1427.12003
Dummit, David S.; Kisilevsky, Hershy
2017
Partition zeta functions. Zbl 1405.11137
Schneider, Robert
2016
A criterion to rule out torsion groups for elliptic curves over number fields. Zbl 1408.11053
Bruin, Peter; Najman, Filip
2016
Moments of zeta and correlations of divisor-sums. IV. Zbl 1411.11074
Conrey, Brian; Keating, Jonathan P.
2016
Quantum mock modular forms arising from eta-theta functions. Zbl 1418.11099
Folsom, Amanda; Garthwaite, Sharon; Kang, Soon-Yi; Swisher, Holly; Treneer, Stephanie
2016
Criteria for the existence of cuspidal theta representations. Zbl 1360.11073
Friedberg, Solomon; Ginzburg, David
2016
A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins. Zbl 1405.11138
Breuer, Felix; Kronholm, Brandt
2016
On classical groups detected by the triple tensor product and the Littlewood-Richardson semigroup. Zbl 1421.11048
Hahn, Heekyoung
2016
Configuration of the crucial set for a quadratic rational map. Zbl 1391.37086
Doyle, John R.; Jacobs, Kenneth; Rumely, Robert
2016
Asymptotics and congruences for partition functions which arise from finitary permutation groups. Zbl 1415.11135
Cotron, Tessa; Dicks, Robert; Fleming, Sarah
2016
Cuspidal part of an Eisenstein series restricted to an index 2 subfield. Zbl 1402.11062
Hu, Yueke
2016
Vector-valued modular forms and the mock theta conjectures. Zbl 1402.11071
Andersen, Nickolas
2016
Divisibility properties of sporadic Apéry-like numbers. Zbl 1404.11015
Malik, Amita; Straub, Armin
2016
Residual representations of semistable principally polarized abelian varieties. Zbl 1405.11070
Anni, Samuele; Lemos, Pedro; Siksek, Samir
2016
...and 36 more Documents
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#### Cited by 490 Authors

 8 Heim, Bernhard Ernst 8 Neuhauser, Markus 7 Bringmann, Kathrin 7 Kane, Ben 6 Barman, Rupam 6 Daniels, Harris B. 6 Lozano-Robledo, Álvaro 5 González-Jiménez, Enrique 5 Rolen, Larry 5 Rouse, Jeremy A. 5 Yee, Ae Ja 4 Andrews, George Eyre 4 Chern, Shane 4 Dixit, Atul 4 Ginzburg, David 4 Lin, Bernard L. S. 4 Schwagenscheidt, Markus 4 Wang, Biao 4 Zaharescu, Alexandru 4 Zemel, Shaul 3 Andersen, Nickolas 3 Baruah, Nayandeep Deka 3 Bruinier, Jan Hendrik 3 Freitas, Nuno 3 Jacobs, Kenneth S. 3 Jennings-Shaffer, Chris 3 Karemaker, Valentijn 3 Kraus, Alain 3 McCarthy, Dermot 3 Mertens, Michael Helmut 3 Montanucci, Maria 3 Najman, Filip 3 Patel, Vandita 3 Pollack, Paul 3 Robles, Nicolas 3 Swaminathan, Ashvin Anand 3 Swisher, Holly 3 Tripathi, Mohit 3 Wang, Liuquan 3 Wood, Melanie Matchett 2 Ahlgren, Scott D. 2 Alfes-Neumann, Claudia 2 Argáez-García, Alejandro 2 Begum, Nilufar Mana 2 Beneish, Lea 2 Bridy, Andrew 2 Brunault, François 2 Candelori, Luca 2 Chou, Michael 2 Clark, Peter Louis 2 Costa, Edgar 2 Craig, William 2 Cremona, John E. 2 da Silva, Robson 2 Disegni, Daniel 2 Doyle, John R. 2 Dujella, Andrej 2 Ejder, Özlem 2 Folsom, Amanda 2 Franke, Johann 2 Friedberg, Solomon 2 Griffin, Michael J. 2 Guerreiro, João Nisan C. 2 Gupta, Rajat 2 Gužvić, Tomislav 2 Hahn, Heekyoung 2 Hao, Li-Jun 2 Iskander, Jonas 2 Jain, Vanshika 2 Jang, Min-Joo 2 Jorgenson, Jay Alan 2 Kalita, Gautam 2 Kang, Soon-Yi 2 Kazalicki, Matija 2 Keating, Jonathan P. 2 Korchmáros, Gábor 2 Koutsianas, Angelos 2 Kumar, Abhimanyu 2 Kumar, Rahul 2 Landesman, Aaron 2 Languasco, Alessandro 2 Larsen, Acadia 2 Lee, Min 2 Locus, Madeline 2 Luca, Florian 2 Maji, Bibekananda 2 Males, Joshua 2 Mao, Renrong 2 McDonald, Vaughan 2 Nagaoka, Shoyu 2 Neururer, Michael O. 2 Ono, Ken 2 Petrow, Ian N. 2 Pun, Anna Ying 2 Rana, Meenakshi 2 Rodgers, Brad 2 Roy, Arindam 2 Samart, Detchat 2 Sanna, Carlo 2 Sellers, James Allen ...and 390 more Authors
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#### Cited in 81 Journals

 45 Journal of Number Theory 32 Research in Number Theory 24 International Journal of Number Theory 22 The Ramanujan Journal 15 Transactions of the American Mathematical Society 15 Research in the Mathematical Sciences 11 Advances in Mathematics 11 Annals of Combinatorics 11 Algebra & Number Theory 9 Mathematics of Computation 8 Journal of Mathematical Analysis and Applications 8 Acta Arithmetica 7 Mathematische Zeitschrift 7 Proceedings of the American Mathematical Society 6 Bulletin of the Australian Mathematical Society 6 Journal of Algebra 5 Mathematische Annalen 4 Discrete Mathematics 4 Archiv der Mathematik 4 Compositio Mathematica 4 Inventiones Mathematicae 4 Pacific Journal of Mathematics 4 Integers 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Advances in Applied Mathematics 3 Forum Mathematicum 3 Journal de Théorie des Nombres de Bordeaux 3 Annales Mathématiques du Québec 2 Rocky Mountain Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Manuscripta Mathematica 2 Tokyo Journal of Mathematics 2 Ergodic Theory and Dynamical Systems 2 Geometric and Functional Analysis. GAFA 2 Finite Fields and their Applications 2 Journal of Difference Equations and Applications 2 Documenta Mathematica 2 Journal of Integer Sequences 2 Journal of High Energy Physics 2 Journal of the Australian Mathematical Society 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 European Journal of Mathematics 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Journal of Geometry and Physics 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Revista de la Unión Matemática Argentina 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Experimental Mathematics 1 Annales Mathématiques Blaise Pascal 1 The Electronic Journal of Combinatorics 1 Bulletin des Sciences Mathématiques 1 Séminaire Lotharingien de Combinatoire 1 Advances in Geometry 1 Foundations of Computational Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Groups, Complexity, Cryptology 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Sigma 1 Transactions of the London Mathematical Society 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Proceedings of the American Mathematical Society. Series B 1 Transactions of the American Mathematical Society. Series B 1 Korean Journal of Mathematics 1 Tunisian Journal of Mathematics 1 Electronic Research Archive
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#### Cited in 28 Fields

 341 Number theory (11-XX) 72 Combinatorics (05-XX) 63 Algebraic geometry (14-XX) 27 Special functions (33-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Group theory and generalizations (20-XX) 12 Field theory and polynomials (12-XX) 6 Topological groups, Lie groups (22-XX) 4 $$K$$-theory (19-XX) 4 Functions of a complex variable (30-XX) 3 Nonassociative rings and algebras (17-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX)