# zbMATH — the first resource for mathematics

## 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/40687https://resmathsci.springeropen.com Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2014). This journal is available open access.
 Documents Indexed: 273 Publications (since 2014) References Indexed: 270 Publications with 9,625 References.
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#### Latest Issues

 8, No. 3 (2021) 8, No. 2 (2021) 8, No. 1 (2021) 7, No. 4 (2020) 7, No. 3 (2020) 7, No. 2 (2020) 7, No. 1 (2020) 6, No. 4 (2019) 6, No. 3 (2019) 6, No. 2 (2019) 6, No. 1 (2019) 5, No. 4 (2018) 5, No. 3 (2018) 5, No. 2 (2018) 5, No. 1 (2018) 4 (2017) 3 (2016) 2 (2015) 1 (2014)
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#### Authors

 8 Bringmann, Kathrin 6 Rolen, Larry 5 Duncan, John F. R. 5 Osher, Stanley Joel 4 Griffin, Michael J. 4 Ono, Ken 4 Ying, Lexing 3 Cheng, Miranda C. N. 3 E, Weinan 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 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 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 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 Amerik, Ekaterina Yu. 1 Amini, Omid 1 Ancona, Giuseppe 1 Andrade, Julio Cesar 1 Andreatta, Fabrizio 1 Arango-Piñeros, Santiago 1 Arsovski, Bodan 1 Aubert, Anne-Marie 1 Backman, Spencer 1 Bae, Sunghan 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 1 Bertozzi, Andrea Louise 1 Besser, Amnon 1 Bhand, Ajit 1 Bhattacharya, Soumya 1 Biswal, Rekha 1 Biswas, Indranil 1 Böhning, Christian 1 Bradlow, Steven B. 1 Branicki, Michał 1 Bräunling, Oliver 1 Bridy, Andrew ...and 359 more Authors
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#### Fields

 135 Number theory (11-XX) 63 Algebraic geometry (14-XX) 37 Partial differential equations (35-XX) 34 Numerical analysis (65-XX) 15 Combinatorics (05-XX) 14 Fluid mechanics (76-XX) 13 Probability theory and stochastic processes (60-XX) 12 Group theory and generalizations (20-XX) 12 Special functions (33-XX) 11 Manifolds and cell complexes (57-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Commutative algebra (13-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Differential geometry (53-XX) 8 Algebraic topology (55-XX) 8 Computer science (68-XX) 7 Biology and other natural sciences (92-XX) 6 Field theory and polynomials (12-XX) 6 Nonassociative rings and algebras (17-XX) 6 Quantum theory (81-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 Convex and discrete geometry (52-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 5 Operations research, mathematical programming (90-XX) 4 $$K$$-theory (19-XX) 4 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 3 Real functions (26-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 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-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) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

162 Publications have been cited 962 times in 792 Documents Cited by Year
On the supercongruence conjectures of van Hamme. Zbl 1337.33005
Swisher, Holly
2015
Umbral moonshine and the Niemeier lattices. Zbl 1365.11044
Cheng, Miranda C. N.; Duncan, John F. R.; Harvey, Jeffrey A.
2014
Variants of the Selberg sieve, and bounded intervals containing many primes. Zbl 1365.11110
Polymath, D. H. J.
2014
Nahm sums, stability and the colored Jones polynomial. Zbl 1334.57021
Garoufalidis, Stavros; Lê, Thang T. Q.
2015
Lifting harmonic morphisms. I: Metrized complexes and Berkovich skeleta. Zbl 1327.14117
Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph
2015
Proof of the umbral moonshine conjecture. Zbl 1383.11052
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
2015
Negative index Jacobi forms and quantum modular forms. Zbl 1349.11085
Bringmann, Kathrin; Creutzig, Thomas; Rolen, Larry
2014
Moonshine. Zbl 1380.11030
Duncan, John F. R.; Griffin, Michael J.; Ono, Ken
2015
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
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
2017
Amoebas, nonnegative polynomials and sums of squares supported on circuits. Zbl 1415.11071
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
2016
Torus knots and quantum modular forms. Zbl 1380.11046
Hikami, Kazuhiro; Lovejoy, Jeremy
2015
Radial limits of mock theta functions. Zbl 1379.11048
Bringmann, Kathrin; Rolen, Larry
2015
Bounded gaps between primes in Chebotarev sets. Zbl 1362.11082
Thorner, Jesse
2014
A class of non-holomorphic modular forms. I. Zbl 1441.11103
Brown, Francis
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
2015
Derived equivalences of K3 surfaces and twined elliptic genera. Zbl 1403.11040
Duncan, John F. R.; Mack-Crane, Sander
2016
Deep relaxation: partial differential equations for optimizing deep neural networks. Zbl 1427.82032
Chaudhari, Pratik; Oberman, Adam; Osher, Stanley; Soatto, Stefano; Carlier, Guillaume
2018
Higher depth quantum modular forms, multiple Eichler integrals, and $$\mathfrak{sl}_3$$ false theta functions. Zbl 1419.11077
Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun
2019
Low Mach number limit for the quantum hydrodynamics system. Zbl 1344.35093
Donatelli, Donatella; Marcati, Pierangelo
2016
Rankin-Eisenstein classes in Coleman families. Zbl 1414.11070
Loeffler, David; Zerbes, Sarah Livia
2016
A mean-field optimal control formulation of deep learning. Zbl 1421.49021
E, Weinan; Han, Jiequn; Li, Qianxiao
2019
af Klinteberg, Ludvig; Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin
2017
Closed expressions for averages of set partition statistics. Zbl 1339.15019
Chern, Bobbie; Diaconis, Persi; Kane, Daniel M.; Rhoades, Robert C.
2014
Propagation of chaos for large Brownian particle system with Coulomb interaction. Zbl 1355.82025
Liu, Jian-Guo; Yang, Rong
2016
Integration over curves and surfaces defined by the closest point mapping. Zbl 1336.65021
Kublik, Catherine; Tsai, Richard
2016
Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations. Zbl 1320.35269
Hou, Thomas Y.; Liu, Pengfei
2015
Exact triangle for fibered Dehn twists. Zbl 1380.53100
Wehrheim, Katrin; Woodward, Chris T.
2016
Solving for high-dimensional committor functions using artificial neural networks. Zbl 07096498
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
2019
The local Langlands correspondence for inner forms of $$\mathrm{SL}_{n}$$. Zbl 1394.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Sparse operator compression of higher-order elliptic operators with rough coefficients. Zbl 1412.65215
Hou, Thomas Y.; Zhang, Pengchuan
2017
Moduli of tropical plane curves. Zbl 1349.14043
Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd
2015
Mock modular forms and class number relations. Zbl 1352.11049
Mertens, Michael H.
2014
Integer partitions, probabilities and quantum modular forms. Zbl 1371.05021
Ngo, Hieu T.; Rhoades, Robert C.
2017
On the Fourier coefficients of negative index meromorphic Jacobi forms. Zbl 1405.11046
Bringmann, Kathrin; Rolen, Larry; Zwegers, Sander
2016
A proof of the Thompson moonshine conjecture. Zbl 1417.11040
Griffin, Michael J.; Mertens, Michael H.
2016
Lifting matroid divisors on tropical curves. Zbl 1349.14194
Cartwright, Dustin
2015
Fourientations and the Tutte polynomial. Zbl 1371.05132
Backman, Spencer; Hopkins, Sam
2017
Elliptic curves of rank two and generalised Kato classes. Zbl 1416.11096
Darmon, Henri; Rotger, Victor
2016
A class of non-holomorphic modular forms. III: real analytic cusp forms for $$\mathrm{SL}_2(\mathbb{Z})$$. Zbl 1440.11071
Brown, Francis
2018
Black holes and class groups. Zbl 1455.11065
Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry
2018
Multivariable Appell functions and nonholomorphic Jacobi forms. Zbl 07096513
Zwegers, Sander
2019
$${\mathrm {H}}$$-harmonic Maaß-Jacobi forms of degree 1. Zbl 1380.11052
Westerholt-Raum, Martin
2015
Guerzhoy, Pavel
2014
From rubber bands to rational maps: a research report. Zbl 1360.37119
Thurston, Dylan P.
2016
A problem of Petersson about weight 0 meromorphic modular forms. Zbl 1418.11059
Bringmann, Kathrin; Kane, Ben
2016
Distributed-memory hierarchical interpolative factorization. Zbl 1375.65141
Li, Yingzhou; Ying, Lexing
2017
The Lerch zeta function. III: Polylogarithms and special values. Zbl 1412.11110
Lagarias, Jeffrey C.; Li, Wen-Ching Winnie
2016
Special $$L$$-values and shtuka functions for Drinfeld modules on elliptic curves. Zbl 1441.11150
Green, Nathan; Papanikolas, Matthew A.
2018
Volumetric variational principles for a class of partial differential equations defined on surfaces and curves. Zbl 1431.65131
Chu, Jay; Tsai, Richard
2018
Best rank-$$k$$ approximations for tensors: generalizing Eckart-Young. Zbl 1417.15034
Draisma, Jan; Ottaviani, Giorgio; Tocino, Alicia
2018
Detecting localized eigenstates of linear operators. Zbl 1425.35128
Lu, Jianfeng; Steinerberger, Stefan
2018
Algebraic boundaries of convex semi-algebraic sets. Zbl 1381.52007
Sinn, Rainer
2015
Hilbert modular surfaces for square discriminants and elliptic subfields of genus 2 function fields. Zbl 1380.11049
Kumar, Abhinav
2015
Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces. Zbl 1379.14032
Katz, Eric; Stapledon, Alan
2016
Congruences for Taylor expansions of quantum modular forms. Zbl 1349.11088
Guerzhoy, Pavel; Kent, Zachary A.; Rolen, Larry
2014
Skeletons of stable maps. II: Superabundant geometries. Zbl 1401.14131
Ranganathan, Dhruv
2017
Adaptive selection and validation of models of complex systems in the presence of uncertainty. Zbl 1377.92036
Farrell-Maupin, Kathryn; Oden, J. T.
2017
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
2020
A theta operator on Picard modular forms modulo an inert prime. Zbl 1417.11043
de Shalit, Ehud; Goren, Eyal Z.
2016
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
2017
Kronecker’s first limit formula, revisited. Zbl 1441.11085
Duke, W.; Imamoḡlu, Ö.; Tóth, Á.
2018
Partitions of unity in $$\mathrm{SL}(2,\mathbb Z)$$, negative continued fractions, and dissections of polygons. Zbl 1418.05047
Ovsienko, Valentin
2018
Modular forms in Pari/GP. Zbl 1441.11003
Belabas, Karim; Cohen, Henri
2018
A multiscale neural network based on hierarchical nested bases. Zbl 07096701
Fan, Yuwei; Feliu-Fabà, Jordi; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo
2019
Convergence of the point integral method for Laplace-Beltrami equation on point cloud. Zbl 1395.65124
Shi, Zuoqiang; Sun, Jian
2017
On $$p$$-adic modular forms and the Bloch-Okounkov theorem. Zbl 1405.11051
Griffin, Michael J.; Jameson, Marie; Trebat-Leder, Sarah
2016
Higgs bundles and exceptional isogenies. Zbl 1408.14112
Bradlow, Steven B.; Schaposnik, Laura P.
2016
Indivisibility of class numbers of imaginary quadratic fields. Zbl 1406.11106
Beckwith, Olivia
2017
Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1356.35094
Luo, Songting; Zhao, Hongkai
2016
Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. Zbl 1358.35012
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V.
2017
Formulas for monodromy. Zbl 1401.14049
Stapledon, Alan
2017
Distribution of orders in number fields. Zbl 1381.11107
Kaplan, Nathan; Marcinek, Jake; Takloo-Bighash, Ramin
2015
Homotopy-theoretically enriched categories of noncommutative motives. Zbl 1338.19006
Morava, Jack
2015
Geometric and analytic structures on the higher adèles. Zbl 1405.11148
Braunling, O.; Groechenig, M.; Wolfson, J.
2016
The adic, cuspidal, Hilbert eigenvarieties. Zbl 1417.11063
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent
2016
Nonzero coefficients of half-integral weight modular forms mod $$\ell$$. Zbl 1465.11114
Bellaïche, Joël; Green, Ben; Soundararajan, Kannan
2018
Vector-valued Hirzebruch-Zagier series and class number sums. Zbl 1440.11049
Williams, Brandon
2018
K3 string theory, lattices and moonshine. Zbl 1435.81157
Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto; Zimet, Max
2018
A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234
Bao, Weizhu; Yin, Jia
2019
Fluctuations in the heterogeneous multiscale methods for fast-slow systems. Zbl 1453.65204
Kelly, David; Vanden-Eijnden, Eric
2017
New methods for $$(\varphi, \Gamma)$$-modules. Zbl 1387.11087
Kedlaya, Kiran S.
2015
Hyperbolic geometry of the ample cone of a hyperkähler manifold. Zbl 1348.53057
Amerik, Ekaterina; Verbitsky, Misha
2016
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.
2014
The Dedekind eta function and D’Arcais-type polynomials. Zbl 07157226
Heim, Bernhard; Neuhauser, Markus
2020
Dynamically distinguishing polynomials. Zbl 1391.37064
Bridy, Andrew; Garton, Derek
2017
A geometric perspective on $$p$$-adic properties of mock modular forms. Zbl 1422.11101
Candelori, Luca; Castella, Francesc
2017
On equilibrium configurations of nematic liquid crystals droplet with anisotropic elastic energy. Zbl 1362.82050
An, Dong; Wang, Wei; Zhang, Pingwen
2017
Mahler measures of a family of non-tempered polynomials and Boyd’s conjectures. Zbl 1454.11197
Meemark, Yotsanan; Samart, Detchat
2019
More than five-twelfths of the zeros of $$\zeta$$ are on the critical line. Zbl 07144056
Pratt, Kyle; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk
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
2020
Period polynomials, derivatives of $$L$$-functions, and zeros of polynomials. Zbl 1457.11032
Diamantis, Nikolaos; Rolen, Larry
2018
Modularity of generating series of winding numbers. Zbl 1440.11104
Bruinier, Jan H.; Funke, Jens; Imamoḡlu, Özlem; Li, Yingkun
2018
Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis. Zbl 07096501
Lewis, John; Zagier, Don
2019
Hölder stability for an inverse medium problem with internal data. Zbl 1428.35677
2019
On exceptional sets in Manin’s conjecture. Zbl 1431.14019
Lehmann, Brian; Tanimoto, Sho
2019
Quantum Jacobi forms in number theory, topology, and mathematical physics. Zbl 1443.11070
Folsom, Amanda
2019
Error analysis of the extended filon-type method for highly oscillatory integrals. Zbl 1396.65081
Gao, Jing; Iserles, Arieh
2017
A nonabelian trace formula. Zbl 1380.11072
Getz, Jayce Robert; Herman, Paul Edward
2015
Motive of the moduli stack of rational curves on a weighted projective stack. Zbl 1457.14063
Park, Jun-Yong; Spink, Hunter
2021
Bhargava’s cube and black hole charges. Zbl 1459.83024
Banerjee, Nabamita; Bhand, Ajit; Dutta, Suvankar; Sen, Ashoke; Singh, Ranveer Kumar
2021
Effective forms of the Sato-Tate conjecture. Zbl 1465.11140
Thorner, Jesse
2021
A stochastic closure for two-moment bulk microphysics of warm clouds. I: Derivations. Zbl 1457.76173
Collins, David; Khouider, Boualem
2021
A symmetric Bloch-Okounkov theorem. Zbl 07332638
van Ittersum, Jan-Willem M.
2021
An enriched count of the bitangents to a smooth plane quartic curve. Zbl 07353450
Larson, Hannah; Vogt, Isabel
2021
Spectral methods for nonlinear functionals and functional differential equations. Zbl 07353451
Venturi, Daniele; Dektor, Alec
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
2020
The Dedekind eta function and D’Arcais-type polynomials. Zbl 07157226
Heim, Bernhard; Neuhauser, Markus
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
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
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
2020
Singularities and vanishing cycles in number theory over function fields. Zbl 07226054
Sawin, Will
2020
Modeling of missing dynamical systems: deriving parametric models using a nonparametric framework. Zbl 1447.37067
Jiang, Shixiao W.; Harlim, John
2020
Enhanced Koszul properties in Galois cohomology. Zbl 1439.12009
Mináč, Ján; Palaisti, Marina; Pasini, Federico W.; Tân, Nguyễn Duy
2020
Spaces of non-degenerate maps between complex projective spaces. Zbl 1460.55013
Gómez-Gonzáles, Claudio
2020
Higher depth quantum modular forms, multiple Eichler integrals, and $$\mathfrak{sl}_3$$ false theta functions. Zbl 1419.11077
Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun
2019
A mean-field optimal control formulation of deep learning. Zbl 1421.49021
E, Weinan; Han, Jiequn; Li, Qianxiao
2019
Solving for high-dimensional committor functions using artificial neural networks. Zbl 07096498
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
2019
Multivariable Appell functions and nonholomorphic Jacobi forms. Zbl 07096513
Zwegers, Sander
2019
A multiscale neural network based on hierarchical nested bases. Zbl 07096701
Fan, Yuwei; Feliu-Fabà, Jordi; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo
2019
A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234
Bao, Weizhu; Yin, Jia
2019
Mahler measures of a family of non-tempered polynomials and Boyd’s conjectures. Zbl 1454.11197
Meemark, Yotsanan; Samart, Detchat
2019
Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis. Zbl 07096501
Lewis, John; Zagier, Don
2019
Hölder stability for an inverse medium problem with internal data. Zbl 1428.35677
2019
On exceptional sets in Manin’s conjecture. Zbl 1431.14019
Lehmann, Brian; Tanimoto, Sho
2019
Quantum Jacobi forms in number theory, topology, and mathematical physics. Zbl 1443.11070
Folsom, Amanda
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.
2019
The invisibility via anomalous localized resonance of a source for electromagnetic waves. Zbl 1425.35185
Nguyen, Hoai-Minh
2019
Quantitative aspects of acyclicity. Zbl 1437.55024
Kozlov, Dmitry N.; Meshulam, Roy
2019
Hessian transport gradient flows. Zbl 1427.35282
Li, Wuchen; Ying, Lexing
2019
PDE acceleration: a convergence rate analysis and applications to obstacle problems. Zbl 1427.65145
Calder, Jeff; Yezzi, Anthony
2019
On the stability of static domain wall profiles in ferromagnetic thin film. Zbl 1430.35222
2019
Quasisymmetric functions and the Chow ring of the stack of expanded pairs. Zbl 1439.14030
Oesinghaus, Jakob
2019
Universal mock theta functions as quantum Jacobi forms. Zbl 07096503
Carroll, Greg; Corbett, James; Folsom, Amanda; Thieu, Ellie
2019
Maass wave forms, quantum modular forms and Hecke operators. Zbl 1443.11058
Lee, Seewoo
2019
Analysis of a singular Boussinesq model. Zbl 1428.35367
Kiselev, Alexander; Yang, Hang
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
2019
Disjointness of the Möbius transformation and Möbius function. Zbl 1454.11147
El Abdalaoui, El Houcein; Shparlinski, Igor E.
2019
Taelman $$L$$-values for Drinfeld modules over Tate algebras. Zbl 1465.11184
Gezmiş, Oğuz
2019
The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms. Zbl 1464.11051
Raum, Martin; Richter, Olav K.
2019
The shape of cubic fields. Zbl 07096727
Hough, Robert
2019
A class of non-holomorphic modular forms. I. Zbl 1441.11103
Brown, Francis
2018
Deep relaxation: partial differential equations for optimizing deep neural networks. Zbl 1427.82032
Chaudhari, Pratik; Oberman, Adam; Osher, Stanley; Soatto, Stefano; Carlier, Guillaume
2018
A class of non-holomorphic modular forms. III: real analytic cusp forms for $$\mathrm{SL}_2(\mathbb{Z})$$. Zbl 1440.11071
Brown, Francis
2018
Black holes and class groups. Zbl 1455.11065
Benjamin, Nathan; Kachru, Shamit; Ono, Ken; Rolen, Larry
2018
Special $$L$$-values and shtuka functions for Drinfeld modules on elliptic curves. Zbl 1441.11150
Green, Nathan; Papanikolas, Matthew A.
2018
Volumetric variational principles for a class of partial differential equations defined on surfaces and curves. Zbl 1431.65131
Chu, Jay; Tsai, Richard
2018
Best rank-$$k$$ approximations for tensors: generalizing Eckart-Young. Zbl 1417.15034
Draisma, Jan; Ottaviani, Giorgio; Tocino, Alicia
2018
Detecting localized eigenstates of linear operators. Zbl 1425.35128
Lu, Jianfeng; Steinerberger, Stefan
2018
Kronecker’s first limit formula, revisited. Zbl 1441.11085
Duke, W.; Imamoḡlu, Ö.; Tóth, Á.
2018
Partitions of unity in $$\mathrm{SL}(2,\mathbb Z)$$, negative continued fractions, and dissections of polygons. Zbl 1418.05047
Ovsienko, Valentin
2018
Modular forms in Pari/GP. Zbl 1441.11003
Belabas, Karim; Cohen, Henri
2018
Nonzero coefficients of half-integral weight modular forms mod $$\ell$$. Zbl 1465.11114
Bellaïche, Joël; Green, Ben; Soundararajan, Kannan
2018
Vector-valued Hirzebruch-Zagier series and class number sums. Zbl 1440.11049
Williams, Brandon
2018
K3 string theory, lattices and moonshine. Zbl 1435.81157
Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto; Zimet, Max
2018
Period polynomials, derivatives of $$L$$-functions, and zeros of polynomials. Zbl 1457.11032
Diamantis, Nikolaos; Rolen, Larry
2018
Modularity of generating series of winding numbers. Zbl 1440.11104
Bruinier, Jan H.; Funke, Jens; Imamoḡlu, Özlem; Li, Yingkun
2018
On Hecke’s decomposition of the regular differentials on the modular curve of prime level. Zbl 1455.11083
Gross, Benedict H.
2018
On the Colmez conjecture for non-abelian CM fields. Zbl 1441.11159
2018
Quantum knot invariants. Zbl 1420.57037
Garoufalidis, Stavros
2018
Demazure flags, $$q$$-Fibonacci polynomials and hypergeometric series. Zbl 07096256
Biswal, Rekha; Chari, Vyjayanthi; Kus, Deniz
2018
The cohomology of Deligne-Lusztig varieties for the general linear group. Zbl 1430.14096
Orlik, Sascha
2018
Moonshine for all finite groups. Zbl 1440.11059
DeHority, Samuel; Gonzalez, Xavier; Vafa, Neekon; Van Peski, Roger
2018
Super-positivity of a family of $$L$$-functions in the level aspect. Zbl 1441.11199
Goldfeld, Dorian; Huang, Bingrong
2018
Harmonic Maass form eigencurves. Zbl 1451.11030
Wagner, Ian
2018
Conic stability of polynomials. Zbl 1415.32007
Jörgens, Thorsten; Theobald, Thorsten
2018
On the motive of intersections of two Grassmannians in $$\mathbb{P}^9$$. Zbl 1418.14002
Laterveer, Robert
2018
Fast Ewald summation for Green’s functions of Stokes flow in a half-space. Zbl 1458.76029
Srinivasan, Shriram; Tornberg, Anna-Karin
2018
A study of elliptic gamma function and allies. Zbl 1440.11063
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
2017
af Klinteberg, Ludvig; Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin
2017
Sparse operator compression of higher-order elliptic operators with rough coefficients. Zbl 1412.65215
Hou, Thomas Y.; Zhang, Pengchuan
2017
Integer partitions, probabilities and quantum modular forms. Zbl 1371.05021
Ngo, Hieu T.; Rhoades, Robert C.
2017
Fourientations and the Tutte polynomial. Zbl 1371.05132
Backman, Spencer; Hopkins, Sam
2017
Distributed-memory hierarchical interpolative factorization. Zbl 1375.65141
Li, Yingzhou; Ying, Lexing
2017
Skeletons of stable maps. II: Superabundant geometries. Zbl 1401.14131
Ranganathan, Dhruv
2017
Adaptive selection and validation of models of complex systems in the presence of uncertainty. Zbl 1377.92036
Farrell-Maupin, Kathryn; Oden, J. T.
2017
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
2017
Convergence of the point integral method for Laplace-Beltrami equation on point cloud. Zbl 1395.65124
Shi, Zuoqiang; Sun, Jian
2017
Indivisibility of class numbers of imaginary quadratic fields. Zbl 1406.11106
Beckwith, Olivia
2017
Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. Zbl 1358.35012
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V.
2017
Formulas for monodromy. Zbl 1401.14049
Stapledon, Alan
2017
Fluctuations in the heterogeneous multiscale methods for fast-slow systems. Zbl 1453.65204
Kelly, David; Vanden-Eijnden, Eric
2017
Dynamically distinguishing polynomials. Zbl 1391.37064
Bridy, Andrew; Garton, Derek
2017
A geometric perspective on $$p$$-adic properties of mock modular forms. Zbl 1422.11101
Candelori, Luca; Castella, Francesc
2017
On equilibrium configurations of nematic liquid crystals droplet with anisotropic elastic energy. Zbl 1362.82050
An, Dong; Wang, Wei; Zhang, Pingwen
2017
Error analysis of the extended filon-type method for highly oscillatory integrals. Zbl 1396.65081
Gao, Jing; Iserles, Arieh
2017
Finding binomials in polynomial ideals. Zbl 1428.13044
Jensen, Anders; Kahle, Thomas; Katthän, Lukas
2017
Implicit boundary integral methods for the Helmholtz equation in exterior domains. Zbl 1375.65163
Chen, Chieh; Tsai, Richard
2017
Stochastic regularity of a quadratic observable of high-frequency waves. Zbl 1387.60108
Malenová, G.; Motamed, M.; Runborg, O.
2017
Optimal convergence rate of the universal estimation error. Zbl 1361.62024
Weinan, E.; Wang, Yao
2017
The number of $$\mathbb F_p$$-points on Dwork hypersurfaces and hypergeometric functions. Zbl 1410.11082
McCarthy, Dermot
2017
Supersingular zeros of divisor polynomials of elliptic curves of prime conductor. Zbl 1433.11074
Kazalicki, Matija; Kohen, Daniel
2017
Autoduality holds for a degenerating abelian variety. Zbl 1401.14151
Kass, Jesse Leo
2017
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
2016
Amoebas, nonnegative polynomials and sums of squares supported on circuits. Zbl 1415.11071
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
2016
Derived equivalences of K3 surfaces and twined elliptic genera. Zbl 1403.11040
Duncan, John F. R.; Mack-Crane, Sander
2016
Low Mach number limit for the quantum hydrodynamics system. Zbl 1344.35093
Donatelli, Donatella; Marcati, Pierangelo
2016
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#### Cited by 1,085 Authors

 29 Guo, Victor J. W. 27 Bringmann, Kathrin 14 Duncan, John F. R. 14 Rolen, Larry 13 Harrison, Sarah M. 13 Milas, Antun 11 Cheng, Miranda C. N. 11 Jin, Shi 10 Osher, Stanley Joel 9 Creutzig, Thomas 8 Ono, Ken 8 Osburn, Robert 7 Aubert, Anne-Marie 7 Folsom, Amanda 7 Garoufalidis, Stavros 7 Kachru, Shamit 7 Lovejoy, Jeremy 7 Paquette, Natalie M. 7 Tornberg, Anna-Karin 7 Volpato, Roberto 6 de Wolff, Timo 6 Harvey, Jeffrey A. 6 Kalita, Gautam 6 Kane, Ben 6 Maynard, James 6 Schlotterer, Oliver 6 Solleveld, Maarten 6 Tsai, Yen-Hsi Richard 6 Wang, Xiaoxia 6 Zudilin, Wadim 5 Benjamin, Nathan 5 Dressler, Mareike 5 Hou, Thomas Yizhao 5 Kim, Byungchan 5 Lei, Antonio 5 Liu, Jicai 5 Liu, Liu 5 Manschot, Jan 5 Markwig, Hannah 5 Mertens, Michael Helmut 5 Schlosser, Michael J. 5 Vatwani, Akshaa 5 Williams, Brandon 4 Baum, Paul Frank 4 Büyükboduk, Kâzim 4 Chow, Yat Tin 4 Chung, Tsz Shun Eric 4 Griffin, Michael J. 4 Hajij, Mustafa 4 Jana, Arijit 4 Kiselev, Alexander A. 4 Lee, Christine Ruey Shan 4 Len, Yoav 4 Mahlburg, Karl 4 Marcati, Pierangelo 4 Morrison, Ralph 4 Murthy, Sameer 4 Plymen, Roger J. 4 Pollack, Paul 4 Ranganathan, Dhruv 4 Raum, Martin 4 Rotger, Victor 4 Shi, Zuoqiang 4 Shu, Ruiwen 4 Stapledon, Alan 4 Swisher, Holly 4 Tao, Terence 4 Theobald, Thorsten 4 Wolfson, Jesse 4 Zhu, Yuhua 4 Zimet, Max 3 Alexandrov, Sergei Yu. 3 Alfes-Neumann, Claudia 3 Anderson, Lara B. 3 Bajbar, Tomáš 3 Baker, Roger C. 3 Beckwith, Olivia 3 Beneish, Lea 3 Bojkovic, Velibor 3 Bräunling, Oliver 3 Brown, Francis C. S. 3 Chetry, Arjun Singh 3 Darbon, Jerome 3 Darmon, Henri René 3 E, Weinan 3 Fan, Yuwei 3 He, Bing 3 Hohenegger, Stefan 3 Iliman, Sadik 3 Jang, Min-Joo 3 Jennings-Shaffer, Chris 3 Kang, Soon-Yi 3 Kaszián, Jonas 3 Lattanzio, Corrado 3 Li, Wuchen 3 Liu, Yudong 3 Löbrich, Steffen 3 Loeffler, David 3 Lu, Hanqing 3 Moore, Gregory Winthrop ...and 985 more Authors
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#### Cited in 197 Journals

 50 Research in the Mathematical Sciences 43 Journal of High Energy Physics 32 Journal of Number Theory 25 Journal of Computational Physics 22 Advances in Mathematics 18 Research in Number Theory 15 Mathematische Annalen 15 Proceedings of the American Mathematical Society 15 Transactions of the American Mathematical Society 14 Journal of Mathematical Analysis and Applications 14 Journal of Scientific Computing 14 SIAM Journal on Scientific Computing 13 Selecta Mathematica. New Series 13 The Ramanujan Journal 13 Multiscale Modeling & Simulation 12 Communications in Mathematical Physics 12 International Journal of Number Theory 11 Advances in Applied Mathematics 9 Mathematische Zeitschrift 8 Acta Arithmetica 8 Journal of Combinatorial Theory. Series A 8 Results in Mathematics 7 Mathematics of Computation 7 Inventiones Mathematicae 7 Journal of Differential Equations 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Algebra & Number Theory 6 Journal of Algebra 6 Pacific Journal of Mathematics 6 Journal of Physics A: Mathematical and Theoretical 6 Forum of Mathematics, Sigma 5 Bulletin of the Australian Mathematical Society 5 Journal of Pure and Applied Algebra 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Symbolic Computation 5 Bulletin of the American Mathematical Society. New Series 5 SIAM Journal on Optimization 5 Journal of Nonlinear Science 5 Documenta Mathematica 5 Geometry & Topology 4 Computer Methods in Applied Mechanics and Engineering 4 Israel Journal of Mathematics 4 Journal of Mathematical Physics 4 Compositio Mathematica 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Knot Theory and its Ramifications 4 Journal de Théorie des Nombres de Bordeaux 4 Integral Transforms and Special Functions 4 Journal of Difference Equations and Applications 4 Annals of Combinatorics 4 SIAM Journal on Imaging Sciences 4 European Journal of Mathematics 4 SIAM Journal on Applied Algebra and Geometry 3 Archive for Rational Mechanics and Analysis 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Mathematica Vietnamica 3 Archiv der Mathematik 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 Bulletin of the Korean Mathematical Society 3 Journal of the American Mathematical Society 3 SIAM Journal on Mathematical Analysis 3 Journal of Mathematical Imaging and Vision 3 Journal of Algebraic Geometry 3 Annals of Mathematics. Second Series 3 Communications in Contemporary Mathematics 3 Annales Henri Poincaré 3 Integers 3 Journal of the Australian Mathematical Society 3 Journal of Machine Learning Research (JMLR) 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Annales Mathématiques du Québec 3 SIAM/ASA Journal on Uncertainty Quantification 3 Algebraic Combinatorics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Nonlinearity 2 Beiträge zur Algebra und Geometrie 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annales de l’Institut Fourier 2 Applied Mathematics and Optimization 2 BIT 2 Collectanea Mathematica 2 Duke Mathematical Journal 2 Publications Mathématiques 2 Manuscripta Mathematica 2 European Journal of Combinatorics 2 Discrete & Computational Geometry 2 Forum Mathematicum 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 Finite Fields and their Applications 2 The Electronic Journal of Combinatorics 2 Séminaire Lotharingien de Combinatoire 2 Transformation Groups 2 Journal of the European Mathematical Society (JEMS) 2 Advances in Geometry ...and 97 more Journals
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#### Cited in 54 Fields

 371 Number theory (11-XX) 153 Algebraic geometry (14-XX) 105 Partial differential equations (35-XX) 104 Numerical analysis (65-XX) 83 Combinatorics (05-XX) 81 Quantum theory (81-XX) 73 Special functions (33-XX) 40 Relativity and gravitational theory (83-XX) 39 Probability theory and stochastic processes (60-XX) 38 Manifolds and cell complexes (57-XX) 38 Fluid mechanics (76-XX) 37 Nonassociative rings and algebras (17-XX) 37 Group theory and generalizations (20-XX) 34 Computer science (68-XX) 24 Convex and discrete geometry (52-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Operations research, mathematical programming (90-XX) 21 Differential geometry (53-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Several complex variables and analytic spaces (32-XX) 15 Topological groups, Lie groups (22-XX) 14 Commutative algebra (13-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Statistics (62-XX) 13 Field theory and polynomials (12-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Biology and other natural sciences (92-XX) 11 $$K$$-theory (19-XX) 8 Real functions (26-XX) 8 Ordinary differential equations (34-XX) 8 Approximations and expansions (41-XX) 7 Functions of a complex variable (30-XX) 7 Optics, electromagnetic theory (78-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Mechanics of deformable solids (74-XX) 6 Information and communication theory, circuits (94-XX) 5 Category theory; homological algebra (18-XX) 5 Operator theory (47-XX) 5 Geometry (51-XX) 5 Mechanics of particles and systems (70-XX) 5 Geophysics (86-XX) 5 Systems theory; control (93-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Associative rings and algebras (16-XX) 3 Sequences, series, summability (40-XX) 3 Algebraic topology (55-XX) 2 History and biography (01-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) 2 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX)