# zbMATH — the first resource for mathematics

## Mathematika

### A Journal of Pure and Applied Mathematics

 Short Title: Mathematika Publisher: John Wiley & Sons, Chichester; London Mathematical Society, London ISSN: 0025-5793; 2041-7942/e Online: https://londmathsoc.onlinelibrary.wiley.com/loi/20417942http://journals.cambridge.org/MTKhttp://www.ucl.ac.uk/maths/research/mathematika Comments: Indexed cover-to-cover
 Documents Indexed: 1,835 Publications (since 1954) References Indexed: 1,755 Publications with 19,119 References.
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#### Latest Issues

 66, No. 4 (2020) 66, No. 3 (2020) 66, No. 2 (2020) 66, No. 1 (2020) 65, No. 4 (2019) 65, No. 3 (2019) 65, No. 2 (2019) 65, No. 1 (2019) 64, No. 3 (2018) 64, No. 2 (2018) 64, No. 1 (2018) 63, No. 3 (2017) 63, No. 2 (2017) 63, No. 1 (2017) 62, No. 3 (2016) 62, No. 2 (2016) 62, No. 1 (2016) 61, No. 3 (2015) 61, No. 2 (2015) 61, No. 1 (2015) 60, No. 2 (2014) 60, No. 1 (2014) 59, No. 2 (2013) 59, No. 1 (2013) 58, No. 2 (2012) 58, No. 1 (2012) 57, No. 2 (2011) 57, No. 1 (2011) 56, No. 2 (2010) 56, No. 1 (2010) 55, No. 1-2 (2009) 54, No. 1-2 (2007) 53, No. 2 (2006) 53, No. 1 (2006) 52, No. 1-2 (2005) 51, No. 1-2 (2004) 50, No. 1-2 (2003) 49, No. 1-2 (2002) 48, No. 1-2 (2001) 47, No. 1-2 (2000) 46, No. 2 (1999) 46, No. 1 (1999) 45, No. 2 (1998) 45, No. 1 (1998) 44, No. 2 (1997) 44, No. 1 (1997) 43, No. 2 (1996) 43, No. 1 (1996) 42, No. 2 (1995) 42, No. 1 (1995) 41, No. 2 (1994) 41, No. 1 (1994) 40, No. 2 (1993) 40, No. 1 (1993) 39, No. 2 (1992) 39, No. 1 (1992) 38, No. 2 (1991) 38, No. 1 (1991) 37, No. 2 (1990) 37, No. 1 (1990) 36, No. 2 (1989) 36, No. 1 (1989) 35, No. 2 (1988) 35, No. 1 (1988) 34, No. 2 (1987) 34, No. 1 (1987) 33 (1986) 32 (1985) 31 (1984) 30 (1983) 29 (1982) 28 (1981) 27 (1980) 26 (1979) 25 (1978/1979) 24 (1977/1978) 23 (1976) 22 (1975) 21 (1974/1975) 20 (1973) 19 (1972) 18 (1971) 17 (1970) 16 (1969) 15 (1968) 14 (1967) 13 (1966) 12 (1965) 11 (1964) 10 (1963) 9 (1962) 8 (1961) 7 (1960) 6 (1959) 5 (1958) 4 (1957) 3 (1956) 2 (1955) 1 (1954)
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#### Authors

 33 Rogers, Claude Ambrose 20 Watson, George Leo 19 Davenport, Harold 16 McMullen, Peter 15 Jayne, John E. 15 Shephard, Geoffrey Colin 14 Larman, David G. 14 Smith, Frank T. 13 Baker, Roger C. 12 Wooley, Trevor D. 11 Harman, Glyn 10 Brüdern, Jörg 10 Elliott, Peter D. T. A. 10 Shparlinski, Igor E. 9 Erdős, Pál 9 Falconer, Kenneth J. 9 Few, L. 9 Fremlin, David H. 9 Fröhlich, Albrecht 9 Goodey, Paul R. 9 Harary, Frank 9 Huxley, Martin N. 9 Khanduja, Sudesh K. 9 Vaughan, Robert C. 9 Wills, Jörg M. 8 Day, William Alan 8 Dean, W. R. 8 Heath-Brown, Roger 8 Michael, D. H. 8 Odoni, R. W. K. 8 Schneider, Rolf G. 8 Shail, Ron 7 Beck, József 7 Davies, Roy O. 7 Firey, William J. 7 Hocking, Leslie M. 7 Johnson, Francis E. A. 7 Kaufman, Robert P. 7 Kirby, David 7 Stewartson, Keith 7 Thomas, Charles Benedict 7 Tyrrell, J. Alex 6 Archbold, J. W. 6 Böröczky, Karoly jun. 6 Bugeaud, Yann 6 Gritzmann, Peter 5 Armitage, John Vernon 5 Baker, Alan 5 Bárány, Imre 5 Birch, Bryan John 5 Bosanquet, Lancelot Stephen 5 Brehm, Ulrich 5 Brown, Susan N. 5 Burgess, D. A. 5 Chen, William Wai Lim 5 Daykin, David E. 5 Earnest, Andrew G. 5 Eastham, Michael S. P. 5 Gallagher, Patrick X. 5 Haight, J. A. 5 Harris, Bernard J. 5 Hug, Daniel 5 Meyer, Mathieu 5 Montejano Peimbert, Luis 5 Namioka, Isaac 5 Pomerance, Carl Bernard 5 Preiss, David 5 Roth, Klaus Friedrich 5 Sloane, Neil James Alexander 4 Babiker, A. G. A. G. 4 Ball, Keith Martin 4 Betke, Ulrich 4 Browning, Timothy Daniel 4 Campi, Stefano 4 Clarke, N. S. 4 Cohn, Paul Moritz 4 Davis, Anthony M. J. 4 Fejes Tóth, László 4 Giannopoulos, Apostolos A. 4 Gonek, Steven M. 4 Granville, Andrew James 4 Halberstam, Heini 4 Hansell, Roger W. 4 Henk, Martin 4 Hilton, Anthony J. W. 4 Iwaniec, Henryk 4 Keating, Michael E. 4 Klee, Victor LaRue 4 Knowles, Joshua D. 4 Konyagin, Sergeĭ Vladimirovich 4 Laczkovich, Miklós 4 Luca, Florian 4 Mahler, Kurt 4 Marstrand, John M. 4 Mauldin, Richard Daniel 4 Mendès France, Michel 4 Northcott, Douglas Geoffrey 4 Ostaszewski, Adam J. 4 Pach, János 4 Perelli, Alberto ...and 1,457 more Authors
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#### Fields

 616 Number theory (11-XX) 273 Convex and discrete geometry (52-XX) 119 Measure and integration (28-XX) 89 Combinatorics (05-XX) 88 Fluid mechanics (76-XX) 85 Functional analysis (46-XX) 67 General topology (54-XX) 64 Partial differential equations (35-XX) 58 Group theory and generalizations (20-XX) 45 Probability theory and stochastic processes (60-XX) 42 Algebraic geometry (14-XX) 41 Ordinary differential equations (34-XX) 39 Functions of a complex variable (30-XX) 37 Geometry (51-XX) 35 Operator theory (47-XX) 34 Mathematical logic and foundations (03-XX) 34 Commutative algebra (13-XX) 33 Real functions (26-XX) 33 Differential geometry (53-XX) 32 Manifolds and cell complexes (57-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 22 Associative rings and algebras (16-XX) 20 Field theory and polynomials (12-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Mechanics of deformable solids (74-XX) 16 Topological groups, Lie groups (22-XX) 14 Potential theory (31-XX) 14 Algebraic topology (55-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Computer science (68-XX) 10 Special functions (33-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Category theory; homological algebra (18-XX) 9 Approximations and expansions (41-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Integral equations (45-XX) 7 Numerical analysis (65-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Difference and functional equations (39-XX) 6 Sequences, series, summability (40-XX) 6 Abstract harmonic analysis (43-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Nonassociative rings and algebras (17-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 Integral transforms, operational calculus (44-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 $$K$$-theory (19-XX) 2 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

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1,381 Publications have been cited 10,767 times in 8,669 Documents Cited by Year
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1970
Rational approximations to algebraic numbers. Zbl 0064.28501
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1955
On irregularities of distribution. Zbl 0057.28604
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1954
The large sieve. Zbl 0296.10023
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1973
The realization of distances within sets in Euclidean space. Zbl 0246.05020
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1972
On the large sieve. Zbl 0136.33004
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1965
On the units of algebraic number fields. Zbl 0171.01105
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1967
Asymptotic expansions and inequalities for hypergeometric functions. Zbl 0897.33001
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1997
Approximate subdifferentials and applications. III: The metric theory. Zbl 0713.49022
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1989
On Kloosterman’s sum. Zbl 0114.26302
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1961
Linear forms in the logarithms of algebraic numbers. Zbl 0161.05201
Baker, A.
1966
On the flow near the trailing edge of a flat plate. II. Zbl 0191.25006
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1969
Shapes of worn stones. Zbl 0311.52003
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1974
Integral domains in which each non-zero ideal is divisorial. Zbl 0169.05404
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1968
An application of Jensen’s formula to polynomials. Zbl 0099.25003
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1960
The distribution of quadratic residues and non-residues. Zbl 0081.27101
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1957
On the Hausdorff dimensions of distance sets. Zbl 0605.28005
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Convex bodies, economic cap coverings, random polytopes. Zbl 0674.52003
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1988
The Santaló point of a function, and a functional form of the Santaló inequality. Zbl 1121.52021
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2004
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1956
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The large sieve. Zbl 0163.04401
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1967
Homogenization of the Dirichlet problem for elliptic systems: $$L_2$$-operator error estimates. Zbl 1272.35021
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2013
Radon-Nikodým compact spaces and fragmentability. Zbl 0654.46017
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1987
The square mean of Dirichlet series associated with cusp forms. Zbl 0497.10016
Good, Anton
1982
On Hausdorff dimension of projections. Zbl 0165.37404
Kaufman, R.
1968
A generalized lower-bound conjecture for simplicial polytopes. Zbl 0233.52003
McMullen, P.; Walkup, D. W.
1971
Approximate subdifferentials and applications. II. Zbl 0601.49008
Ioffe, A. D.
1986
Spherical averages of Fourier transforms of measures with finite energy; dimension of intersections and distance sets. Zbl 0645.28004
Mattila, Pertti
1987
A short proof of Hadwiger’s characterization theorem. Zbl 0835.52010
Klain, Daniel A.
1995
Rational approximations to algebraic numbers. Zbl 0079.27401
Ridout, D.
1957
On the Hankel determinants of univalent functions. Zbl 0165.09602
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1967
Trigonometric sums over primes. I. Zbl 0465.10029
Harman, Glyn
1981
The existence of a centrally symmetric convex body with central sections that are unexpectedly small. Zbl 0325.52007
Lahrman, D. G.; Rogers, C. A.
1975
Rational approximations to algebraic numbers. Zbl 0066.29302
Davenport, Harold; Roth, Klaus F.
1955
On linear relations between roots of unity. Zbl 0138.03102
Mann, Henry B.
1965
Functions continuous and singular with respect to a Hausdorff measure. Zbl 0145.28701
Rogers, C. A.; Taylor, S. J.
1961
Smooth bump functions and geometry of Banach spaces. Zbl 0792.46007
Deville, R.; Godefroy, G.; Zizler, V.
1993
On the distribution of primes in short intervals. Zbl 0346.10024
Gallagher, P. X.
1976
The shortest path and the shortest road through $$n$$ points. Zbl 0067.12604
Few, L.
1955
Note on irregularities of distribution. Zbl 0073.03402
Davenport, Harold
1956
Internal characterization of fragmentable spaces. Zbl 0645.46017
Ribarska, N. K.
1987
On the reverse $$L_p$$-Busemann-Petty centroid inequality. Zbl 1056.52005
Campi, Stefano; Gronchi, Paolo
2002
A note on a problem of H. Busemann and C. M. Petty concerning sections of symmetric convex bodies. Zbl 0696.52004
Giannopoulos, Apostolos A.
1990
Decomposable convex polyhedra. Zbl 0121.39002
Shephard, Geoffrey C.
1963
Linear forms in the logarithmic of algebraic numbers. IV. Zbl 0169.37802
Baker, A.
1968
On acyclic simplicial complexes. Zbl 0157.54903
Harary, Frank; Palmer, Edgar M.
1968
Ellipsoids defined by Banach ideal norms. Zbl 0438.46006
Lewis, D. R.
1979
Isotropic surface area measures. Zbl 0960.52009
1999
Some extremal problems for convex bodies. Zbl 0092.15301
Rogers, C. A.; Shephard, Geoffrey C.
1958
On the Busemann-Petty problem about convex, centrally symmetric bodies in $$\mathbb{R}^ n$$. Zbl 0770.52004
1992
Sums of distances between points on a sphere – an application of the theory of irregularities of distribution to discrete geometry. Zbl 0553.51013
Beck, József
1984
Trees with Hamiltonian square. Zbl 0221.05052
Harary, Frank; Schwenk, Allen
1971
Volume inequalities and additive maps of convex bodies. Zbl 1129.52002
Schuster, Franz E.
2006
Semiselective coideals. Zbl 0903.03029
Farah, Ilijas
1998
Convex bodies which tile space by translation. Zbl 0432.52016
McMullen, P.
1980
The directions to the line segments and of the r-dimensional balls on the boundary of a convex body in Euclidean space. Zbl 0199.57002
Ewald, G.; Larman, D. G.; Rogers, C. A.
1970
A note on coverings. Zbl 0079.27203
Rogers, C. A.
1957
On the slow motion generated in a viscous fluid by the approach of a sphere to a plane wall or stationary sphere. Zbl 0174.27703
Cooley, M. D. A.; O’Neill, M. E.
1969
Properties and characterizations of k-trees. Zbl 0221.05057
Beineke, L. W.; Pippert, R. E.
1971
Görtler vortices in growing boundary layers: The leading edge receptivity problem, linear growth and the nonlinear breakdown stage. Zbl 0708.76053
Hall, Philip
1990
Homogeneous forms of odd degree in a large number of variables. Zbl 0081.04501
Birch, B. J.
1957
A note on form rings and ideals. Zbl 0089.26003
Rees, D.
1957
Combinatorial extreme value distributions. Zbl 0098.32602
Barton, D. E.; David, F. N.
1959
There are 913 regular ternary forms. Zbl 0923.11060
Jagy, William C.; Kaplansky, Irving; Schiemann, Alexander
1997
Interpolation of Hilbert and Sobolev spaces: quantitative estimates and counterexamples. Zbl 1341.46014
Chandler-Wilde, S. N.; Hewett, D. P.; Moiola, A.
2015
Covering a sphere with spheres. Zbl 0158.19603
Rogers, C. A.
1963
A lattice-point problem in hyperbolic space. Zbl 0308.10013
Patterson, S. J.
1975
Popular values of Euler’s function. Zbl 0437.10001
Pomerance, Carl
1980
On the fractional dimension of sets of continued fractions. Zbl 0884.11028
Łuczak, Tomasz
1997
A slow motion of viscous liquid caused by a slowly moving solit sphere. Zbl 0142.43305
O’Neill, M. E.
1964
Weber’s class invariants. Zbl 0226.12005
Birch, B. J.
1969
K-analytic sets. Zbl 0524.54028
Hansell, R. W.; Jayne, J. E.; Rogers, C. A.
1983
Combinatorially regular polytopes. Zbl 0155.50002
McMullen, P.
1967
Intersection bodies and ellipsoids. Zbl 0835.52009
Goodey, Paul; Weil, Wolfgang
1995
Sharp extensions of Bernstein’s inequality to rational spaces. Zbl 0869.41010
Borwein, Peter; Erdélyi, Tamás
1996
A note on linear thermoelasticity. Zbl 0351.73037
Green, A. E.
1972
On the distribution of $$\alpha p$$ modulo 1. Zbl 0374.10031
Vaughan, R. C.
1978
On generalized Dedekind domains. Zbl 0613.13001
1986
Random polytopes in smooth convex bodies. Zbl 0765.52009
Bárány, Imre
1992
Orbitopes. Zbl 1315.52001
Sanyal, Raman; Sottile, Frank; Sturmfels, Bernd
2011
A slow motion of viscous liquid caused by the rotation of a solid sphere. Zbl 0117.20301
Dean, W. R.; O’Neill, M. E.
1963
Metrics for sets of convex bodies. Zbl 0144.21303
Shephard, Geoffrey C.; Webster, R. J.
1965
Generic well-posedness of optimization problems in topological spaces. Zbl 0679.49010
Čoban, M. M.; Kenderov, P. S.; Revalski, J. P.
1989
Selberg’s sieve with weights. Zbl 0192.39703
Richert, H.-E.
1969
Finite-time break-up can occur in any unsteady interacting boundary layer. Zbl 0651.76014
Smith, F. T.
1988
Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients. Zbl 0868.11009
Granville, Andrew; Ramaré, Olivier
1996
Linear forms in the logarithms of algebraic numbers. III. Zbl 0161.05301
Baker, A.
1967
$$\sigma$$-fragmentable Banach spaces. Zbl 0761.46008
Jayne, J. E.; Namioka, I.; Rogers, C. A.
1992
Class numbers and unit signatures. Zbl 0149.29501
Armitage, J. V.; Fröhlich, A.
1967
Geometric inequalities and inclusion measures of convex bodies. Zbl 0803.52006
Zhang, Gaoyong
1994
The solubility of certain Diophantine inequalities. Zbl 0066.29301
Davenport, Harold; Roth, Klaus F.
1955
Plane parallel flow of a dusty gas. Zbl 0148.23502
Michael, D. H.; Miller, D. A.
1966
Hausdorff dimension and the exceptional set of projections. Zbl 0477.28004
Falconer, K. J.
1982
On the dimension of a graph. Zbl 0151.33204
Erdős, Pál; Harary, Frank; Tutte, W. T.
1965
On the Hasse principle for cubic surfaces. Zbl 0151.03405
Cassels, J. W. S.; Guy, M. J. T.
1966
A characterization of special subvarieties. Zbl 1236.14029
Ullmo, Emmanuel; Yafaev, Andrei
2011
On irregularities of distribution. Zbl 0456.10027
Chen, W. W. L.
1980
Partial well-ordering of sets of vectors. Zbl 0057.04302
1954
Duality in homotopy theory. Zbl 0064.17202
Spanier, Edwin H.; Whitehead, J. H. C.
1955
Embedding spanning bounded degree graphs in randomly perturbed graphs. Zbl 1441.05159
Böttcher, Julia; Montgomery, Richard; Parczyk, Olaf; Person, Yury
2020
Smooth squarefree and squarefull integers in arithmetic progressions. Zbl 1446.11174
Munsch, Marc; Shparlinski, Igor E.; Yau, Kam Hung
2020
On pointwise convergence of Schrödinger means. Zbl 1442.42046
Dimou, Evangelos; Seeger, Andreas
2020
Sharp bounds for multilinear curved Kakeya, restriction and oscillatory integral estimates away from the endpoint. Zbl 1442.42042
Tao, Terence
2020
Iterations of curvature images. Zbl 1440.35066
2020
Effective $$L^2$$ decoupling for the parabola. Zbl 1442.42032
Li, Zane Kun
2020
On the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle. Zbl 07209609
Erdélyi, Tamás
2020
On the Waring-Goldbach problem with almost equal summands. Zbl 07209638
Salmensuu, Juho
2020
Transference theorems for Diophantine approximation with weights. Zbl 1452.11080
German, Oleg N.
2020
Mean values of arithmetic functions in short intervals and in arithmetic progressions in the large-degree limit. Zbl 1445.11100
Gorodetsky, Ofir
2020
Discrepancy of a convex set with zero curvature at one point. Zbl 1451.11087
Gariboldi, Bianca
2020
A note on antichains in the continuous cube. Zbl 1441.05216
Janzer, Barnabás
2020
Poisson hyperplane processes and approximation of convex bodies. Zbl 07210242
Hug, Daniel; Schneider, Rolf
2020
Homogeneous completely simple semigroups. Zbl 07210243
Quinn-Gregson, Thomas
2020
Normal tilings of a Banach space and its ball. Zbl 1450.46009
Deville, Robert; García-Bravo, Miguel
2020
Saturation for the butterfly poset. Zbl 07210247
Ivan, Maria-Romina
2020
Concrete polytopes may not tile the space. Zbl 1445.52017
Garber, Alexey; Pak, Igor
2020
New results on sum-product type growth over fields. Zbl 1429.11027
Murphy, Brendan; Petridis, Giorgis; Roche-Newton, Oliver; Rudnev, Misha; Shkredov, Ilya D.
2019
There is no Khintchine threshold for metric pair correlations. Zbl 1466.11048
Aistleitner, Christoph; Lachmann, Thomas; Technau, Niclas
2019
Central limit theorem for Planck-scale mass distribution of toral Laplace eigenfunctions. Zbl 1451.60033
2019
Arithmetic aspects of symmetric edge polytopes. Zbl 1411.05016
Higashitani, Akihiro; Jochemko, Katharina; Michałek, Mateusz
2019
Cancellations between Kloosterman sums modulo a prime power with prime arguments. Zbl 1441.11192
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping
2019
Point distributions in two-point homogeneous spaces. Zbl 07089404
Skriganov, M. M.
2019
Operator algebraic approach to inverse and stability theorems for amenable groups. Zbl 1416.22008
De Chiffre, Marcus; Ozawa, Narutaka; Thom, Andreas
2019
The Steklov spectrum of cuboids. Zbl 1408.35111
Girouard, Alexandre; Lagacé, Jean; Polterovich, Iosif; Savo, Alessandro
2019
On the integral formulas of Crofton and Hurwitz relative to the visual angle of a convex set. Zbl 1417.52003
Cufí, Julià; Gallego, Eduardo; Reventós, Agustí
2019
Linear and quadratic uniformity of the Möbius function over $$\mathbb{F}_{q}[t]$$. Zbl 07089401
Bienvenu, Pierre-Yves; Lê, Thái Hoàng
2019
Completeness of the list of spinor regular ternary quadratic forms. Zbl 1432.11039
Earnest, A. G.; Haensch, Anna
2019
Complex moments and the distribution of values of $$L(1,\chi_{d})$$ over function fields with applications to class numbers. Zbl 1470.11301
Lumley, Allysa
2019
An explicit two-source extractor with min-entropy rate near $$4/9$$. Zbl 1435.11025
Lewko, Mark
2019
Zeros of the Möbius function of permutations. Zbl 1418.05004
Brignall, Robert; Jelínek, Vít; Kynčl, Jan; Marchant, David
2019
Inverse spectral theory for a class of non-compact Hankel operators. Zbl 07036937
Gérard, Patrick; Pushnitski, Alexander
2019
Analysis in the multi-dimensional ball. Zbl 1410.42022
Sjögren, Peter; Szarek, Tomasz Z.
2019
Dimensions of triangle sets. Zbl 1412.52013
Yu, Han
2019
Class number one from analytic rank two. Zbl 1431.11124
Watkins, Mark
2019
Multidimensional van der Corput sets and small fractional parts of polynomials. Zbl 1432.11077
Madritsch, Manfred G.; Tichy, Robert F.
2019
Embedding of the free abelian toplogical group $$A(X\oplus X)$$ into $$A(X)$$. Zbl 1412.22004
Krupski, Mikołaj; Leiderman, Arkady; Morris, Sidney
2019
On iterated product sets with shifts. Zbl 1445.11113
Hanson, Brandon; Roche-Newton, Oliver; Zhelezov, Dmitrii
2019
On a twisted version of Linnik and Selberg’s conjecture on sums of Kloosterman sums. Zbl 1441.11193
Steiner, Raphael S.
2019
The primes are not metric Poissonian. Zbl 1429.11136
Walker, Aled
2018
Hausdorff measure of sets of Dirichlet non-improvable numbers. Zbl 1412.11082
Hussain, Mumtaz; Kleinbock, Dmitry; Wadleigh, Nick; Wang, Bao-Wei
2018
Additive energy and the metric Poissonian property. Zbl 1441.11185
Bloom, Thomas F.; Chow, Sam; Gafni, Ayla; Walker, Aled
2018
Rigid local systems on $$\mathbb{A}^{1}$$ with finite monodromy. Zbl 1456.11232
Katz, Nicholas M.
2018
Triangles capturing many lattice points. Zbl 1451.51008
Marshall, Nicholas F.; Steinerberger, Stefan
2018
On the largest prime factors of consecutive integers. (Sur les plus grands facteurs premiers d’entiers consécutifs.) Zbl 1439.11246
Wang (Nancy), Zhiwei
2018
Explicit zero-free regions for Dirichlet $$L$$-functions. Zbl 1412.11096
2018
Divisor-sum fibers. Zbl 1410.11115
Pollack, Paul; Pomerance, Carl; Thompson, Lola
2018
Sarnak’s saturation problem for complete intersections. Zbl 1454.11064
Schindler, D.; Sofos, E.
2018
Weak admissibility, primitivity, o-minimality, and Diophantine approximation. Zbl 1401.11113
Widmer, Martin
2018
Goldbach representations in arithmetic progressions and zeros of Dirichlet $$L$$-functions. Zbl 1432.11136
Bhowmik, Gautami; Halupczok, Karin; Matsumoto, Kohji; Suzuki, Yuta
2018
Level reciprocity in the twisted second moment of Rankin-Selberg $$L$$-functions. Zbl 1448.11096
Andersen, Nickolas; Kıral, Eren Mehmet
2018
Local average of the hyperbolic circle problem for Fuchsian groups. Zbl 1428.11094
Biró, András
2018
Kernel functions of the twisted symmetric square of elliptic modular forms. Zbl 1428.11090
Kohama, Hayato; Mizuno, Yoshinori
2018
Comparison of weak and strong moments for vectors with independent coordinates. Zbl 1429.60027
Latała, Rafał; Strzelecka, Marta
2018
A local uniqueness theorem for minimizers of Petty’s conjectured projection inequality. Zbl 1393.52002
2018
Lipschitz equivalence of Cantor sets and irreducibility of polynomials. Zbl 1411.28008
Luo, Jun Jason; Ruan, Huo-Jun; Wang, Yi-Lin
2018
A coding of bundle graphs and their embeddings into Banach spaces. Zbl 1409.46016
Swift, Andrew
2018
Variants of Erdős-Selfridge superelliptic curves and their rational points. Zbl 1439.11151
Das, Pranabesh; Laishram, Shanta; Saradha, N.
2018
$$L_{2}$$-small deviations for weighted stationary processes. Zbl 1434.60115
Lifshits, Mikhail; Nazarov, Alexander
2018
Reduction of dimension as a consequence of norm-resolvent convergence and applications. Zbl 1394.81124
Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P.
2018
Solutions to diagonal congruences with variables restricted to a box. Zbl 1415.11110
Cochrane, Todd; Ostergaard, Misty; Spencer, Craig
2018
Denominators of Bernoulli polynomials. Zbl 1415.11121
Bordellès, Olivier; Luca, Florian; Moree, Pieter; Shparlinski, Igor E.
2018
Asymptotic behaviour of the spectra of systems of Maxwell equations in periodic composite media with high contrast. Zbl 1393.35130
Cherednichenko, Kirill; Cooper, Shane
2018
Monochromatic factorizations of words and periodicity. Zbl 1386.68123
Wojcik, Caïus; Zamboni, Luca Q.
2018
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; Kabluchko, Zakhar
2018
Truncated product representations for $$L$$-functions in the hyperelliptic ensemble. Zbl 1428.11117
Andrade, J. C.; Gonek, S. M.; Keating, J. P.
2018
Large bias for integers with prime factors in arithmetic progressions. Zbl 1428.11162
Meng, Xianchang
2018
Hausdorff dimension of the set approximated by irrational rotations. Zbl 1428.11139
Kim, Dong Han; Rams, Michał; Wang, Baowei
2018
Differential Gerstenhaber-Batalin-Vilkovisky algebras for Calabi-Yau hypersurface complements. Zbl 1403.53074
Kim, Dokyoung; Kim, Yesule; Park, Jeehoon
2018
Integral monodromy groups of Kloosterman sheaves. Zbl 1456.11146
Perret-Gentil, Corentin
2018
Fractional parts of polynomials over the primes. II. Zbl 1451.11072
Baker, Roger
2018
Approximating the main conjecture in Vinogradov’s mean value theorem. Zbl 1372.11086
Wooley, Trevor D.
2017
Minimizing Dirichlet eigenvalues on cuboids of unit measure. Zbl 1378.35091
van den Berg, M.; Gittins, K.
2017
New bounds for Szemerédi’s theorem. III: A polylogarithmic bound for $$r_{4}(n)$$. Zbl 1434.11037
Green, Ben; Tao, Terence
2017
Point distributions in compact metric spaces. Zbl 1393.11057
Skriganov, M. M.
2017
Perfect powers that are sums of consecutive cubes. Zbl 1437.11046
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
2017
Brascamp-Lieb inequality and quantitative versions of Helly’s theorem. Zbl 1364.26025
Brazitikos, Silouanos
2017
Zeros of certain combinations of Eisenstein series. Zbl 1428.11077
Reitzes, Sarah; Vulakh, Polina; Young, Matthew P.
2017
Smooth-supported multiplicative functions in arithmetic progressions beyond the $$x^{1/2}$$-barrier. Zbl 1428.11174
Drappeau, Sary; Granville, Andrew; Shao, Xuancheng
2017
Primes and prime ideals in short intervals. Zbl 1404.11113
Grenié, Loïc; Molteni, Giuseppe; Perelli, Alberto
2017
Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces. Zbl 1402.46007
Cúth, Marek; Kalenda, Ondřej F. K.; Kaplický, Petr
2017
Hilbert transforms along Lipschitz direction fields: a lacunary model. Zbl 1380.42012
Guo, Shaoming; Thiele, Christoph
2017
Envelopes for sets and functions: regularization and generalized conjugacy. Zbl 1376.52018
Cabot, A.; Jourani, A.; Thibault, L.
2017
A polynomial analogue of Landau’s theorem and related problems. Zbl 1427.11094
Gorodetsky, Ofir
2017
Generalized local $$Tb$$ theorems for square functions. Zbl 1366.42022
Grau de la Herrán, Ana; Hofmann, Steve
2017
A sieve problem and its application. Zbl 1414.11112
Weingartner, Andreas
2017
Arrangements of homothets of a convex body. Zbl 1379.52003
Naszódi, Márton; Pach, János; Swanepoel, Konrad
2017
Fractional parts of polynomials over the primes. Zbl 1426.11068
Baker, Roger
2017
Discrepancy of second order digital sequences in function spaces with dominating mixed smoothness. Zbl 1388.11044
Dick, Josef; Hinrichs, Aicke; Markhasin, Lev; Pillichshammer, Friedrich
2017
Illumination of convex bodies with many symmetries. Zbl 1376.52004
Tikhomirov, Konstantin
2017
On the least squarefree number in an arithmetic progression. Zbl 1400.11130
Nunes, R. M.
2017
On some multiple character sums. Zbl 1427.11078
Shkredov, Ilya D.; Shparlinski, Igor E.
2017
The $$\theta = \infty$$ conjecture implies the Riemann hypothesis. Zbl 1370.11101
Bettin, Sandro; Gonek, Steven M.
2017
Large values of $$L(1,\chi)$$ for $$k$$th order characters $$\chi$$ and applications to character sums. Zbl 1430.11117
Lamzouri, Youness
2017
Shapes of polyhedra, mixed volumes and hyperbolic geometry. Zbl 1367.52010
Fillastre, François; Izmestiev, Ivan
2017
A flag vector of a 3-sphere that is not the flag vector of a 4-polytope. Zbl 1365.52012
Brinkmann, Philip; Ziegler, Günter M.
2017
Diophantine approximation on manifolds and lower bounds for Hausdorff dimension. Zbl 1400.11118
Beresnevich, Victor; Lee, Lawrence; Vaughan, Robert C.; Velani, Sanju
2017
Vinogradov systems with a slice off. Zbl 1390.11099
Brandes, Julia; Wooley, Trevor D.
2017
Many cubic surfaces contain rational points. Zbl 1388.14069
Browning, T. D.
2017
$$S$$-parts of terms of integer linear recurrence sequences. Zbl 1434.11042
Bugeaud, Yann; Evertse, Jan-Hendrik
2017
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#### Cited by 8,058 Authors

 68 Shparlinski, Igor E. 44 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 42 Bugeaud, Yann 39 Luca, Florian 33 Smith, Frank T. 30 Schmidt, Wolfgang M. 29 Schneider, Rolf G. 29 Wooley, Trevor D. 27 Böröczky, Karoly jun. 27 Zaharescu, Alexandru 26 Pillichshammer, Friedrich 24 Iosevich, Alex 24 McMullen, Peter 24 Xi, Lifeng 24 Zhao, Changjian 21 Brüdern, Jörg 21 Hug, Daniel 21 Leng, Gangsong 19 Khanduja, Sudesh K. 19 Naor, Assaf 19 Zhang, Wenpeng 18 Martini, Horst 18 Ratliff, Louis J. jun. 18 Schulte, Egon 17 Bezdek, Károly 17 Dubickas, Artūras 17 Elliott, Peter D. T. A. 17 Fouvry, Etienne 17 Henk, Martin 17 Pollack, Paul 17 Zhou, Jiazu 16 Baier, Stephan 16 Lángi, Zsolt 16 Milman, Vitali D. 16 Reitzner, Matthias 16 Vaughan, Robert C. 16 Wang, Weidong 16 Weil, Wolfgang 15 Bárány, Imre 15 Gritzmann, Peter 15 Koh, Doowon 15 Mimouni, Abdeslam 15 Murty, Maruti Ram 15 Pomerance, Carl Bernard 14 Fradelizi, Matthieu 14 Harman, Glyn 14 Hussain, Mumtaz 14 Kupavskii, Andrey 14 Li, Aijun 14 Novik, Isabella 14 Pach, János 14 Ramaré, Olivier 14 Vuorinen, Matti Keijo Kustaa 14 Werner, Elisabeth M. 14 Xiong, Ge 13 Bourgain, Jean 13 Cheung, Wingsum 13 Fontana, Marco 13 Frankl, Péter 13 Fraser, Jonathan MacDonald 13 Friedlander, John Benjamin 13 Granville, Andrew James 13 Gruber, Peter Manfred 13 Korolëv, Maksim Aleksandrovich 13 Lutwak, Erwin 13 Mauldin, Richard Daniel 13 Naszódi, Márton 13 Nevo, Eran 13 Ponnusamy, Saminathan 13 Schleischitz, Johannes 13 Urbański, Ryszard 12 Adamczewski, Boris 12 Alkan, Emre 12 Baricz, Árpád 12 Cochrane, Todd 12 Colesanti, Andrea 12 Grzybowski, Jerzy 12 Houston, Evan G. jun. 12 Kenderov, Petar Stojanov 12 Koldobsky, Alexander L. 12 Larcher, Gerhard 12 Merino, Bernardo González 12 Michel, Philippe Gabriel 12 Mignotte, Maurice 12 Moors, Warren B. 12 Motohashi, Yoichi 12 Pintz, Janos 12 Raka, Madhu 12 Steinerberger, Stefan 12 Suslina, Tat’yana Aleksandrovna 12 Todorcevic, Stevo B. 12 Velani, Sanju L. 12 Wang, Baowei 12 Wolke, Dieter 12 Zafrullah, Muhammad 12 Zhang, Gaoyong 12 Ziegler, Günter Matthias 11 Artstein-Avidan, Shiri 11 Banks, William D. 11 Bilyk, Dmitry ...and 7,958 more Authors
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#### Cited in 687 Journals

 476 Journal of Number Theory 237 Transactions of the American Mathematical Society 232 Proceedings of the American Mathematical Society 228 Journal of Mathematical Analysis and Applications 216 Advances in Mathematics 175 Israel Journal of Mathematics 174 Monatshefte für Mathematik 172 Discrete & Computational Geometry 131 Mathematika 126 Discrete Mathematics 121 Topology and its Applications 119 International Journal of Number Theory 111 Mathematische Annalen 106 Journal of Functional Analysis 103 Archiv der Mathematik 101 Communications in Algebra 99 Journal of Algebra 97 Journal of Fluid Mechanics 96 Mathematische Zeitschrift 95 Mathematical Notes 87 Journal de Théorie des Nombres de Bordeaux 86 Journal of Combinatorial Theory. Series A 84 Mathematics of Computation 81 Inventiones Mathematicae 80 The Ramanujan Journal 64 Acta Arithmetica 63 Linear Algebra and its Applications 62 European Journal of Combinatorics 61 Compositio Mathematica 56 Duke Mathematical Journal 56 Geometriae Dedicata 53 Rocky Mountain Journal of Mathematics 52 Advances in Applied Mathematics 51 Acta Mathematica Hungarica 45 Journal of Pure and Applied Algebra 45 Manuscripta Mathematica 44 Discrete Applied Mathematics 44 Bulletin of the American Mathematical Society. New Series 42 Annales de l’Institut Fourier 41 Journal of Mathematical Sciences (New York) 40 Acta Mechanica 40 ZAMP. Zeitschrift für angewandte Mathematik und Physik 39 Mathematical Proceedings of the Cambridge Philosophical Society 39 Journal of Soviet Mathematics 38 Lithuanian Mathematical Journal 38 Journal of Combinatorial Theory. Series B 37 Acta Mathematica 36 The Journal of Geometric Analysis 35 Nagoya Mathematical Journal 35 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 35 Physics of Fluids 34 Journal of Engineering Mathematics 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 Results in Mathematics 34 Journal of Complexity 34 Indagationes Mathematicae. New Series 33 Journal of Computational and Applied Mathematics 32 Finite Fields and their Applications 32 Journal of Inequalities and Applications 31 Journal d’Analyse Mathématique 31 Periodica Mathematica Hungarica 31 Journal of Differential Equations 31 Combinatorica 30 Functiones et Approximatio. Commentarii Mathematici 28 Journal of Approximation Theory 28 Graphs and Combinatorics 27 Bulletin of the Australian Mathematical Society 27 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 27 Czechoslovak Mathematical Journal 27 Theoretical Computer Science 27 Geometric and Functional Analysis. GAFA 27 Science China. Mathematics 26 Applied Mathematics and Computation 26 Proceedings of the Steklov Institute of Mathematics 25 Archive for Rational Mechanics and Analysis 25 St. Petersburg Mathematical Journal 25 Journal of the European Mathematical Society (JEMS) 24 Computers & Mathematics with Applications 24 Journal für die Reine und Angewandte Mathematik 24 Acta Mathematica Sinica. English Series 23 Journal of Applied Mathematics and Mechanics 23 Journal of the American Mathematical Society 23 Science in China. Series A 22 Journal of Mathematical Physics 22 Bulletin of the London Mathematical Society 22 Experimental Mathematics 22 Doklady Mathematics 22 Annals of Mathematics. Second Series 21 Mathematische Nachrichten 21 Proceedings of the Japan Academy. Series A 21 Aequationes Mathematicae 21 Integers 21 Bulletin of the American Mathematical Society 20 Advances in Geometry 20 Research in Number Theory 19 Computers and Fluids 19 Arkiv för Matematik 19 Glasgow Mathematical Journal 19 Revista Matemática Iberoamericana 19 SIAM Journal on Discrete Mathematics ...and 587 more Journals
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#### Cited in 63 Fields

 3,190 Number theory (11-XX) 1,470 Convex and discrete geometry (52-XX) 843 Combinatorics (05-XX) 493 Fluid mechanics (76-XX) 490 Measure and integration (28-XX) 466 Functional analysis (46-XX) 367 Partial differential equations (35-XX) 346 Probability theory and stochastic processes (60-XX) 323 Algebraic geometry (14-XX) 296 General topology (54-XX) 289 Functions of a complex variable (30-XX) 281 Group theory and generalizations (20-XX) 261 Commutative algebra (13-XX) 258 Real functions (26-XX) 236 Dynamical systems and ergodic theory (37-XX) 233 Differential geometry (53-XX) 229 Computer science (68-XX) 214 Numerical analysis (65-XX) 213 Harmonic analysis on Euclidean spaces (42-XX) 201 Operations research, mathematical programming (90-XX) 190 Mathematical logic and foundations (03-XX) 187 Operator theory (47-XX) 180 Manifolds and cell complexes (57-XX) 170 Calculus of variations and optimal control; optimization (49-XX) 154 Special functions (33-XX) 140 Mechanics of deformable solids (74-XX) 137 Geometry (51-XX) 119 Ordinary differential equations (34-XX) 117 Linear and multilinear algebra; matrix theory (15-XX) 102 Field theory and polynomials (12-XX) 96 Topological groups, Lie groups (22-XX) 90 Information and communication theory, circuits (94-XX) 87 Global analysis, analysis on manifolds (58-XX) 82 Approximations and expansions (41-XX) 75 Associative rings and algebras (16-XX) 74 Order, lattices, ordered algebraic structures (06-XX) 71 Algebraic topology (55-XX) 67 Statistics (62-XX) 59 Several complex variables and analytic spaces (32-XX) 52 Abstract harmonic analysis (43-XX) 52 Quantum theory (81-XX) 44 Potential theory (31-XX) 42 History and biography (01-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Difference and functional equations (39-XX) 33 Integral transforms, operational calculus (44-XX) 31 Statistical mechanics, structure of matter (82-XX) 29 Category theory; homological algebra (18-XX) 28 Optics, electromagnetic theory (78-XX) 28 Systems theory; control (93-XX) 27 Classical thermodynamics, heat transfer (80-XX) 26 Sequences, series, summability (40-XX) 23 Integral equations (45-XX) 22 Mechanics of particles and systems (70-XX) 22 Biology and other natural sciences (92-XX) 18 $$K$$-theory (19-XX) 17 Nonassociative rings and algebras (17-XX) 16 General and overarching topics; collections (00-XX) 16 General algebraic systems (08-XX) 12 Geophysics (86-XX) 9 Relativity and gravitational theory (83-XX) 5 Astronomy and astrophysics (85-XX) 3 Mathematics education (97-XX)