Research in the Mathematical Sciences Short Title: Res. Math. Sci. Publisher: Springer International Publishing (SpringerOpen), Cham ISSN: 2522-0144; 2197-9847/e Online: https://link.springer.com/journal/40687/volumes-and-issueshttps://resmathsci.springeropen.com Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2014). This journal is available open access. Documents Indexed: 462 Publications (since 2014) References Indexed: 456 Publications with 15,915 References. all top 5 Latest Issues 11, No. 4 (2024) 11, No. 3 (2024) 11, No. 2 (2024) 11, No. 1 (2024) 10, No. 4 (2023) 10, No. 3 (2023) 10, No. 2 (2023) 10, No. 1 (2023) 9, No. 4 (2022) 9, No. 3 (2022) 9, No. 2 (2022) 9, No. 1 (2022) 8, No. 4 (2021) 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) all top 5 Authors 10 Bringmann, Kathrin 9 Osher, Stanley Joel 9 Ying, Lexing 8 Rolen, Larry 6 Garoufalidis, Stavros 5 Duncan, John F. R. 4 Diamantis, Nikolaos 4 Dixit, Atul 4 E, Weinan 4 Folsom, Amanda L. 4 Griffin, Michael J. 4 Ono, Ken 4 Tsai, Yen-Hsi Richard 3 Cheng, Miranda C. N. 3 Chu, Jay 3 Fukshansky, Lenny 3 Guerzhoy, Pavel I. 3 Khoo, Yuehaw 3 Li, Wuchen 3 Lin, Lin 3 Masri, Riad 3 McCarthy, Dermot 3 Mertens, Michael Helmut 3 O’Dorney, Evan M. 3 Raum, Martin 3 Thorner, Jesse 3 Thorpe, Matthew 3 Tripathi, Mohit 3 Xu, Jinchao 3 Yin, Penghang 3 Zaharescu, Alexandru 2 Alberts, Brandon 2 An, Dong 2 Araújo dos Santos, Raimundo Nonato 2 Baker, Matthew H. 2 Barquero-Sanchez, Adrian 2 Berndt, Bruce C. 2 Brown, Francis C. S. 2 Calder, Jeff 2 Choulli, Mourad 2 Darbon, Jerome 2 Draisma, Jan 2 Dubey, Saipriya 2 Fricks, John 2 Getz, Jayce Robert 2 Gómez-Gonzáles, Claudio 2 Harrison, Sarah M. 2 He, Juncai 2 Heim, Bernhard Ernst 2 Hong, John Meng-Kai 2 Hou, Thomas Yizhao 2 Imamoḡlu, Özlem 2 Jameson, Marie 2 Kachru, Shamit 2 Kane, Daniel M. 2 Kaszián, Jonas 2 Kazalicki, Matija 2 Kedlaya, Kiran Sridhara 2 Khouider, Boualem 2 Kim, Sun 2 Klobusicky, Joseph J. 2 Kohnen, Winfried 2 Kopp, Gene S. 2 Kramer, Peter Roland 2 Kumar, Rahul 2 Lagarias, Jeffrey C. 2 Lan, Kai-Wen 2 Lee, Hsin-Yi 2 Li, Ruo 2 Li, Wen-Ch’ing Winnie 2 Lin, Ying-Chieh 2 Liu, Jianguo 2 Liu, Siting 2 Lu, Jianfeng 2 Majda, Andrew J. 2 Milas, Antun 2 Mori, Yoichiro 2 Mukundan, Vivek 2 Nazaroglu, Caner 2 Neuhauser, Markus 2 Nguyen, Hoai-Minh 2 Oesinghaus, Jakob 2 Pauli, Sabrina 2 Polymath, D. H. J. 2 Raji, Wissam 2 Rhoades, Robert C. 2 Richter, Olav K. 2 Rinaldo, Giancarlo 2 Schaposnik, Laura P. 2 Shi, Zuoqiang 2 Shparlinski, Igor E. 2 Souganidis, Panagiotis E. 2 Stapledon, Alan 2 Steinerberger, Stefan 2 Strazzanti, Francesco 2 Sudakov, Benny 2 Takloo-Bighash, Ramin 2 Tendero, Yohann 2 Terai, Naoki 2 Tong, Xin Thomson ...and 719 more Authors all top 5 Fields 185 Number theory (11-XX) 102 Algebraic geometry (14-XX) 63 Partial differential equations (35-XX) 46 Numerical analysis (65-XX) 37 Combinatorics (05-XX) 28 Manifolds and cell complexes (57-XX) 27 Commutative algebra (13-XX) 25 Several complex variables and analytic spaces (32-XX) 24 Group theory and generalizations (20-XX) 24 Special functions (33-XX) 24 Computer science (68-XX) 19 Probability theory and stochastic processes (60-XX) 19 Fluid mechanics (76-XX) 14 Differential geometry (53-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Algebraic topology (55-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Quantum theory (81-XX) 11 Operator theory (47-XX) 11 Biology and other natural sciences (92-XX) 10 Associative rings and algebras (16-XX) 10 Statistics (62-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Nonassociative rings and algebras (17-XX) 9 Approximations and expansions (41-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Optics, electromagnetic theory (78-XX) 8 Field theory and polynomials (12-XX) 7 Functional analysis (46-XX) 7 Convex and discrete geometry (52-XX) 7 Operations research, mathematical programming (90-XX) 6 Ordinary differential equations (34-XX) 6 Geophysics (86-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 4 Category theory; homological algebra (18-XX) 4 \(K\)-theory (19-XX) 4 Real functions (26-XX) 4 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 Relativity and gravitational theory (83-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 328 Publications have been cited 2,502 times in 2,075 Documents Cited by ▼ Year ▼ On the supercongruence conjectures of van Hamme. Zbl 1337.33005 Swisher, Holly 98 2015 Variants of the Selberg sieve, and bounded intervals containing many primes. Zbl 1365.11110 Polymath, D. H. J. 81 2014 Umbral moonshine and the Niemeier lattices. Zbl 1365.11044 Cheng, Miranda C. N.; Duncan, John F. R.; Harvey, Jeffrey A. 71 2014 Amoebas, nonnegative polynomials and sums of squares supported on circuits. Zbl 1415.11071 Iliman, Sadik; de Wolff, Timo 50 2016 A mean-field optimal control formulation of deep learning. Zbl 1421.49021 E, Weinan; Han, Jiequn; Li, Qianxiao 48 2019 Lifting harmonic morphisms. I: Metrized complexes and Berkovich skeleta. Zbl 1327.14117 Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph 47 2015 On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040 Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack 47 2016 Solving for high-dimensional committor functions using artificial neural networks. Zbl 1498.60222 Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing 47 2019 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 46 2016 Nahm sums, stability and the colored Jones polynomial. Zbl 1334.57021 Garoufalidis, Stavros; Lê, Thang T. Q. 42 2015 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 42 2020 Proof of the umbral moonshine conjecture. Zbl 1383.11052 Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 41 2015 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 39 2020 A class of non-holomorphic modular forms. I. Zbl 1441.11103 Brown, Francis 38 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 34 2017 Deep relaxation: partial differential equations for optimizing deep neural networks. Zbl 1427.82032 Chaudhari, Pratik; Oberman, Adam; Osher, Stanley; Soatto, Stefano; Carlier, Guillaume 32 2018 Negative index Jacobi forms and quantum modular forms. Zbl 1349.11085 Bringmann, Kathrin; Creutzig, Thomas; Rolen, Larry 30 2014 Rankin-Eisenstein classes in Coleman families. Zbl 1414.11070 Loeffler, David; Zerbes, Sarah Livia 30 2016 Moonshine. Zbl 1380.11030 Duncan, John F. R.; Griffin, Michael J.; Ono, Ken 29 2015 Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions. Zbl 1419.11077 Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun 27 2019 Torus knots and quantum modular forms. Zbl 1380.11046 Hikami, Kazuhiro; Lovejoy, Jeremy 26 2015 Mock modular Mathieu moonshine modules. Zbl 1395.17061 Cheng, Miranda C. N.; Dong, Xi; Duncan, John F. R.; Harrison, Sarah; Kachru, Shamit; Wrase, Timm 25 2015 Moduli of tropical plane curves. Zbl 1349.14043 Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd 24 2015 Derived equivalences of K3 surfaces and twined elliptic genera. Zbl 1403.11040 Duncan, John F. R.; Mack-Crane, Sander 21 2016 Sparse operator compression of higher-order elliptic operators with rough coefficients. Zbl 1412.65215 Hou, Thomas Y.; Zhang, Pengchuan 20 2017 Fast Ewald summation for free-space Stokes potentials. Zbl 1360.65295 af Klinteberg, Ludvig; Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin 20 2017 Integer partitions, probabilities and quantum modular forms. Zbl 1371.05021 Ngo, Hieu T.; Rhoades, Robert C. 20 2017 Bounded gaps between primes in Chebotarev sets. Zbl 1362.11082 Thorner, Jesse 20 2014 Radial limits of mock theta functions. Zbl 1379.11048 Bringmann, Kathrin; Rolen, Larry 20 2015 Low Mach number limit for the quantum hydrodynamics system. Zbl 1344.35093 Donatelli, Donatella; Marcati, Pierangelo 20 2016 The local Langlands correspondence for inner forms of \(\mathrm{SL}_{n}\). Zbl 1394.22015 Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten 19 2016 Free boundary methods and non-scattering phenomena. Zbl 1480.35408 Salo, Mikko; Shahgholian, Henrik 17 2021 Propagation of chaos for large Brownian particle system with Coulomb interaction. Zbl 1355.82025 Liu, Jian-Guo; Yang, Rong 17 2016 Special \(L\)-values and shtuka functions for Drinfeld modules on elliptic curves. Zbl 1441.11150 Green, Nathan; Papanikolas, Matthew A. 17 2018 Integration over curves and surfaces defined by the closest point mapping. Zbl 1336.65021 Kublik, Catherine; Tsai, Richard 16 2016 Closed expressions for averages of set partition statistics. Zbl 1339.15019 Chern, Bobbie; Diaconis, Persi; Kane, Daniel M.; Rhoades, Robert C. 16 2014 A multiscale neural network based on hierarchical nested bases. Zbl 07096701 Fan, Yuwei; Feliu-Fabà, Jordi; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo 16 2019 K3 string theory, lattices and moonshine. Zbl 1435.81157 Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto; Zimet, Max 15 2018 A class of non-holomorphic modular forms. III: real analytic cusp forms for \(\mathrm{SL}_2(\mathbb{Z})\). Zbl 1440.11071 Brown, Francis 15 2018 A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation. Zbl 1433.65234 Bao, Weizhu; Yin, Jia 15 2019 Algebraic boundaries of convex semi-algebraic sets. Zbl 1381.52007 Sinn, Rainer 14 2015 Exact triangle for fibered Dehn twists. Zbl 1380.53100 Wehrheim, Katrin; Woodward, Chris T. 14 2016 Volumetric variational principles for a class of partial differential equations defined on surfaces and curves. Zbl 1431.65131 Chu, Jay; Tsai, Richard 14 2018 Kronecker’s first limit formula, revisited. Zbl 1441.11085 Duke, W.; Imamoḡlu, Ö.; Tóth, Á. 14 2018 Partitions of unity in \(\mathrm{SL}(2,\mathbb Z)\), negative continued fractions, and dissections of polygons. Zbl 1418.05047 Ovsienko, Valentin 14 2018 Detecting localized eigenstates of linear operators. Zbl 1425.35128 Lu, Jianfeng; Steinerberger, Stefan 14 2018 Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations. Zbl 1320.35269 Hou, Thomas Y.; Liu, Pengfei 13 2015 Elliptic curves of rank two and generalised Kato classes. Zbl 1416.11096 Darmon, Henri; Rotger, Victor 13 2016 Mock modular forms and class number relations. Zbl 1352.11049 Mertens, Michael H. 13 2014 Nonzero coefficients of half-integral weight modular forms mod \(\ell \). Zbl 1465.11114 Bellaïche, Joël; Green, Ben; Soundararajan, Kannan 13 2018 Multivariable Appell functions and nonholomorphic Jacobi forms. Zbl 1470.11085 Zwegers, Sander 13 2019 A problem of Petersson about weight 0 meromorphic modular forms. Zbl 1418.11059 Bringmann, Kathrin; Kane, Ben 12 2016 A proof of the Thompson moonshine conjecture. Zbl 1417.11040 Griffin, Michael J.; Mertens, Michael H. 12 2016 A framework for modular properties of false theta functions. Zbl 1456.11074 Bringmann, Kathrin; Nazaroglu, Caner 12 2019 Effective forms of the Sato-Tate conjecture. Zbl 1465.11140 Thorner, Jesse 12 2021 On the Fourier coefficients of negative index meromorphic Jacobi forms. Zbl 1405.11046 Bringmann, Kathrin; Rolen, Larry; Zwegers, Sander 12 2016 From rubber bands to rational maps: a research report. Zbl 1360.37119 Thurston, Dylan P. 12 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 12 2017 On exceptional sets in Manin’s conjecture. Zbl 1431.14019 Lehmann, Brian; Tanimoto, Sho 12 2019 An enriched count of the bitangents to a smooth plane quartic curve. Zbl 1471.14070 Larson, Hannah; Vogt, Isabel 11 2021 Zeros of Jensen polynomials and asymptotics for the Riemann xi function. Zbl 1479.11146 O’Sullivan, Cormac 11 2021 Skeletons of stable maps. II: Superabundant geometries. Zbl 1401.14131 Ranganathan, Dhruv 11 2017 Fourientations and the Tutte polynomial. Zbl 1371.05132 Backman, Spencer; Hopkins, Sam 11 2017 \({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1. Zbl 1380.11052 Westerholt-Raum, Martin 11 2015 More than five-twelfths of the zeros of \(\zeta\) are on the critical line. Zbl 1505.11116 Pratt, Kyle; Robles, Nicolas; Zaharescu, Alexandru; Zeindler, Dirk 11 2020 Best rank-\(k\) approximations for tensors: generalizing Eckart-Young. Zbl 1417.15034 Draisma, Jan; Ottaviani, Giorgio; Tocino, Alicia 11 2018 The Dedekind eta function and D’Arcais-type polynomials. Zbl 1472.11122 Heim, Bernhard; Neuhauser, Markus 10 2020 Modeling of missing dynamical systems: deriving parametric models using a nonparametric framework. Zbl 1447.37067 Jiang, Shixiao W.; Harlim, John 10 2020 Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces. Zbl 1379.14032 Katz, Eric; Stapledon, Alan 10 2016 Modular forms in Pari/GP. Zbl 1441.11003 Belabas, Karim; Cohen, Henri 10 2018 Error analysis of the extended filon-type method for highly oscillatory integrals. Zbl 1396.65081 Gao, Jing; Iserles, Arieh 9 2017 Convergence of the point integral method for Laplace-Beltrami equation on point cloud. Zbl 1395.65124 Shi, Zuoqiang; Sun, Jian 9 2017 Distributed-memory hierarchical interpolative factorization. Zbl 1375.65141 Li, Yingzhou; Ying, Lexing 9 2017 Universal mock theta functions as quantum Jacobi forms. Zbl 1470.11097 Carroll, Greg; Corbett, James; Folsom, Amanda; Thieu, Ellie 9 2019 A theta operator on Picard modular forms modulo an inert prime. Zbl 1417.11043 de Shalit, Ehud; Goren, Eyal Z. 9 2016 Kolmogorov width decay and poor approximators in machine learning: shallow neural networks, random feature models and neural tangent kernels. Zbl 1538.68042 E, Weinan; Wojtowytsch, Stephan 9 2021 Hilbert modular surfaces for square discriminants and elliptic subfields of genus 2 function fields. Zbl 1380.11049 Kumar, Abhinav 9 2015 Generalized Paley graphs and their complete subgraphs of orders three and four. Zbl 1461.05138 Dawsey, Madeline Locus; McCarthy, Dermot 9 2021 Quantum knot invariants. Zbl 1420.57037 Garoufalidis, Stavros 9 2018 Integral representations of rank two false theta functions and their modularity properties. Zbl 1482.11069 Bringmann, Kathrin; Kaszian, Jonas; Milas, Antun; Nazaroglu, Caner 8 2021 Mean field control problems for vaccine distribution. Zbl 1498.92114 Lee, Wonjun; Liu, Siting; Li, Wuchen; Osher, Stanley 8 2022 Computational graph completion. Zbl 1497.68464 Owhadi, Houman 8 2022 New regularity results for Hamilton-Jacobi equations and long time behavior of pathwise (stochastic) viscosity solutions. Zbl 1444.60065 Lions, Pierre-Louis; Souganidis, Panagiotis E. 8 2020 Delay-coordinate maps, coherence, and approximate spectra of evolution operators. Zbl 1460.37077 Giannakis, Dimitrios 8 2021 Lifting matroid divisors on tropical curves. Zbl 1349.14194 Cartwright, Dustin 8 2015 Peacock patterns and resurgence in complex Chern-Simons theory. Zbl 07715597 Garoufalidis, Stavros; Gu, Jie; Mariño, Marcos 8 2023 Explicit transformations of certain Lambert series. Zbl 1492.33006 Dixit, Atul; Kesarwani, Aashita; Kumar, Rahul 7 2022 Solving multiscale steady radiative transfer equation using neural networks with uniform stability. Zbl 1492.65286 Lu, Yulong; Wang, Li; Xu, Wuzhe 7 2022 Appell series over finite fields and Gaussian hypergeometric series. Zbl 1468.33008 Tripathi, Mohit; Barman, Rupam 7 2021 Distribution of orders in number fields. Zbl 1381.11107 Kaplan, Nathan; Marcinek, Jake; Takloo-Bighash, Ramin 7 2015 Congruences for Taylor expansions of quantum modular forms. Zbl 1349.11088 Guerzhoy, Pavel; Kent, Zachary A.; Rolen, Larry 7 2014 Time-periodic measures, random periodic orbits, and the linear response for dissipative non-autonomous stochastic differential equations. Zbl 1480.37060 Branicki, Michał; Uda, Kenneth 7 2021 Mocking the \(u\)-plane integral. Zbl 1472.81184 Korpas, Georgios; Manschot, Jan; Moore, Gregory W.; Nidaiev, Iurii 7 2021 Indivisibility of class numbers of imaginary quadratic fields. Zbl 1406.11106 Beckwith, Olivia 7 2017 Formulas for monodromy. Zbl 1401.14049 Stapledon, Alan 7 2017 Geometric and analytic structures on the higher adèles. Zbl 1405.11148 Braunling, O.; Groechenig, M.; Wolfson, J. 7 2016 The adic, cuspidal, Hilbert eigenvarieties. Zbl 1417.11063 Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent 7 2016 On Zagier’s adele. Zbl 1355.11044 Guerzhoy, Pavel 7 2014 New methods for \((\varphi, \Gamma)\)-modules. Zbl 1387.11087 Kedlaya, Kiran S. 7 2015 On \(p\)-adic modular forms and the Bloch-Okounkov theorem. Zbl 1405.11051 Griffin, Michael J.; Jameson, Marie; Trebat-Leder, Sarah 7 2016 Singularity properties of Lorentzian Darboux surfaces in Lorentz-Minkowski spacetime. Zbl 1540.53019 Li, Yanlin; Jiang, Xuelian; Wang, Zhigang 2 2024 Extensions of MacMahon’s sums of divisors. Zbl 1544.11070 Amdeberhan, Tewodros; Andrews, George E.; Tauraso, Roberto 2 2024 Homotopy prefactorization algebras. Zbl 1542.18015 Idrissi, Najib; Rabinovich, Eugene 1 2024 Identities on Zagier’s rank two examples for Nahm’s problem. Zbl 07875607 Wang, Liuquan 1 2024 Evaluations and relations for finite trigonometric sums. Zbl 07914825 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 1 2024 Identification of unbounded electric potentials through asymptotic boundary spectral data. Zbl 1531.35386 Bellassoued, Mourad; Kian, Yavar; Mannoubi, Yosra; Soccorsi, Éric 1 2024 Affine homogeneous varieties and suspensions. Zbl 1543.14035 Arzhantsev, Ivan; Zaitseva, Yulia 1 2024 Peacock patterns and resurgence in complex Chern-Simons theory. Zbl 07715597 Garoufalidis, Stavros; Gu, Jie; Mariño, Marcos 8 2023 Rates of convergence for Laplacian semi-supervised learning with low labeling rates. Zbl 1538.68019 Calder, Jeff; Slepčev, Dejan; Thorpe, Matthew 7 2023 Deep limits of residual neural networks. Zbl 1538.68057 Thorpe, Matthew; van Gennip, Yves 5 2023 Divisor-bounded multiplicative functions in short intervals. Zbl 1527.11072 Mangerel, Alexander P. 4 2023 The finite and solvable genus of finitely generated free and surface groups. Zbl 1523.20050 Jaikin-Zapirain, Andrei 4 2023 Explicit transformations for generalized Lambert series associated with the divisor function \(\sigma_a^{(N)}(n)\) and their applications. Zbl 1540.11111 Banerjee, Soumyarup; Dixit, Atul; Gupta, Shivajee 3 2023 Inverse problems for some fractional equations with general nonlinearity. Zbl 1527.35498 Kow, Pu-Zhao; Wang, Jenn-Nan 3 2023 On string functions and double-sum formulas. Zbl 1539.11070 Mortenson, Eric T.; Postnova, Olga; Solovyev, Dmitry 3 2023 On the quantitative variation of congruence ideals and integral periods of modular forms. Zbl 1540.11043 Kim, Chan-Ho; Ota, Kazuto 2 2023 A numerical approach toward the \(p\)-adic Beilinson conjecture for elliptic curves over \(\mathbb{Q}\). Zbl 07684029 Asakura, Masanori; Chida, Masataka; Brunault, François 2 2023 Generative modeling via tree tensor network states. Zbl 07684034 Tang, Xun; Hur, YoonHaeng; Khoo, Yuehaw; Ying, Lexing 2 2023 Bitangents to plane quartics via tropical geometry: rationality, \(\mathbb{A}^1\)-enumeration, and real signed count. Zbl 1523.14088 Markwig, Hannah; Payne, Sam; Shaw, Kris 2 2023 On lattice polarizable cubic fourfolds. Zbl 1505.14090 Yang, Song; Yu, Xun 2 2023 The Bloch-Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms. Zbl 1533.11099 van Ittersum, Jan-Willem M. 2 2023 High-dimensional density estimation with tensorizing flow. Zbl 07715598 Ren, Yinuo; Zhao, Hongli; Khoo, Yuehaw; Ying, Lexing 2 2023 Hook length biases and general linear partition inequalities. Zbl 1534.11124 Ballantine, Cristina; Burson, Hannah E.; Craig, William; Folsom, Amanda; Wen, Boya 2 2023 Computing \(\mathbb{A}^1\)-Euler numbers with Macaulay2. Zbl 1521.14103 Pauli, Sabrina 2 2023 Certain invertible operator-block matrices induced by \(C^*\)-algebras and scaled hypercomplex numbers. Zbl 1535.46052 Alpay, Daniel; Cho, Ilwoo 1 2023 Total Stiefel Whitney classes for real representations of \(\mathrm{GL}_n\) over \(\mathbb{F}_q\), \(\mathbb{R}\) and \(\mathbb{C}\). Zbl 1530.20156 Ganguly, Jyotirmoy; Joshi, Rohit 1 2023 Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts. Zbl 1514.35331 Chu, Jay; Hong, John M.; Lee, Hsin-Yi; Lin, Ying-Chieh 1 2023 Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case. Zbl 1514.35141 Halla, Martin 1 2023 Hochschild cohomology of symmetric groups and generating functions. II. Zbl 1514.20033 Benson, David; Kessar, Radha; Linckelmann, Markus 1 2023 Exact evaluations and reciprocity theorems for finite trigonometric sums. Zbl 1534.11101 Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 1 2023 Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. Zbl 1502.11053 Matsusaka, Toshiki; Ueki, Jun 1 2023 Side effects of learning from low-dimensional data embedded in a Euclidean space. Zbl 1508.68290 He, Juncai; Tsai, Richard; Ward, Rachel 1 2023 The distribution of \(G\)-Weyl CM fields and the Colmez conjecture. Zbl 1534.11135 Barquero-Sanchez, Adrian; Masri, Riad; Thorne, Frank 1 2023 Iwasawa invariants for symmetric square representations. Zbl 07696878 Ray, Anwesh; Sujatha, R.; Vatsal, Vinayak 1 2023 Mean field control problems for vaccine distribution. Zbl 1498.92114 Lee, Wonjun; Liu, Siting; Li, Wuchen; Osher, Stanley 8 2022 Computational graph completion. Zbl 1497.68464 Owhadi, Houman 8 2022 Explicit transformations of certain Lambert series. Zbl 1492.33006 Dixit, Atul; Kesarwani, Aashita; Kumar, Rahul 7 2022 Solving multiscale steady radiative transfer equation using neural networks with uniform stability. Zbl 1492.65286 Lu, Yulong; Wang, Li; Xu, Wuzhe 7 2022 Cohomology of complements of toric arrangements associated with root systems. Zbl 1490.14087 Bergvall, Olof 6 2022 On vanishing near corners of conductive transmission eigenfunctions. Zbl 1481.35301 Deng, Youjun; Duan, Chaohua; Liu, Hongyu 6 2022 Stability for quantitative photoacoustic tomography revisited. Zbl 1491.35449 Bonnetier, Eric; Choulli, Mourad; Triki, Faouzi 5 2022 Loop space decompositions of \((2n-2)\)-connected \((4n-1)\)-dimensional Poincaré duality complexes. Zbl 1502.55008 Huang, Ruizhi; Theriault, Stephen 4 2022 Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems. Zbl 1485.13039 Hà, Huy Tài; Van Tuyl, Adam 4 2022 Modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem. Zbl 1481.35403 Monk, Peter; Selgas, Virginia 4 2022 \(_4F_3\)-Gaussian hypergeometric series and traces of Frobenius for elliptic curves. Zbl 1506.11150 Tripathi, Mohit; Meher, Jaban 4 2022 Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals. Zbl 1481.13029 Grisalde, Gonzalo; Seceleanu, Alexandra; Villarreal, Rafael H. 4 2022 Multiplicities and mixed multiplicities of arbitrary filtrations. Zbl 1487.13047 Cutkosky, Steven Dale; Sarkar, Parangama 4 2022 Powers of graphs & applications to resolutions of powers of monomial ideals. Zbl 1494.13024 Cooper, Susan M.; El Khoury, Sabine; Faridi, Sara; Mayes-Tang, Sarah; Morey, Susan; Şega, Liana M.; Spiroff, Sandra 3 2022 Infinite families of crank functions, Stanton-type conjectures, and unimodality. Zbl 1494.11083 Bringmann, Kathrin; Gomez, Kevin; Rolen, Larry; Tripp, Zack 3 2022 Asymptotics for the twisted eta-product and applications to sign changes in partitions. Zbl 1504.11109 Bridges, Walter; Franke, Johann; Garnowski, Taylor 3 2022 Uniqueness of conservative solutions for the Hunter-Saxton equation. Zbl 1486.35005 Grunert, Katrin; Holden, Helge 3 2022 Hilbert series of parallelogram polyominoes. Zbl 1492.13032 Qureshi, Ayesha Asloob; Rinaldo, Giancarlo; Romeo, Francesco 3 2022 A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra. Zbl 1535.13036 Kimura, K.; Pournaki, M. R.; Seyed Fakhari, S. A.; Terai, N.; Yassemi, S. 3 2022 Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox-Ingersoll-Ross process. Zbl 1484.91490 Sutthimat, Phiraphat; Rujivan, Sanae; Mekchay, Khamron; Rakwongwan, Udomsak 3 2022 Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups. Zbl 1510.16005 Andruskiewitsch, N.; Angiono, I.; Pevtsova, J.; Witherspoon, S. 3 2022 Approximation properties of deep ReLU CNNs. Zbl 1514.41009 He, Juncai; Li, Lin; Xu, Jinchao 2 2022 On the notion of sequentially Cohen-Macaulay modules. 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N. 15 de Wolff, Timo 15 Harrison, Sarah M. 14 Schlotterer, Oliver 14 Ying, Lexing 13 Li, Wuchen 13 Males, Joshua 13 Markwig, Hannah 12 Darbon, Jerome 12 Garoufalidis, Stavros 11 Volpato, Roberto 10 Osburn, Robert 10 Paquette, Natalie M. 10 Theobald, Thorsten 10 Tsai, Yen-Hsi Richard 9 Creutzig, Thomas 9 Harvey, Jeffrey A. 9 Hou, Thomas Yizhao 9 Kalita, Gautam 9 Liu, Hongyu 9 Lovejoy, Jeremy 9 Tornberg, Anna-Karin 9 Wang, Xiaoxia 8 Aubert, Anne-Marie 8 Chung, Tsz Shun Eric 8 Dressler, Mareike 8 Kachru, Shamit 8 Kane, Ben 8 Karniadakis, George Em 8 Lei, Antonio 8 Liu, Liu 8 Manschot, Jan 8 Meng, Tingwei 8 Mertens, Michael Helmut 8 Morrison, Ralph 8 O’Sullivan, Cormac 8 Owhadi, Houman 8 Raum, Martin 8 Venturi, Daniele 8 Wei, Chuanan 8 Yin, Jia 8 Zepeda-Núñez, Leonardo 8 Zudilin, Wadim 7 Darmon, Henri René 7 Dixit, Atul 7 Heim, Bernhard Ernst 7 Kleinschmidt, Axel 7 Loeffler, David 7 Lu, Jianfeng 7 Maynard, James 7 Naumann, Helen 7 Neuhauser, Markus 7 Ranganathan, Dhruv 7 Solleveld, Maarten 7 Tao, Terence 7 Vatwani, Akshaa 7 Wang, Cheng 7 Wang, Jie 6 Barman, Rupam 6 Büyükboduk, Kâzim 6 Cui, Su-Ping 6 Dorigoni, Daniele 6 Dwivedi, Sharad 6 E, Weinan 6 Fan, Yuwei 6 Gao, Jing 6 Griffin, Michael J. 6 Gu, Nancy Shan Shan 6 Jana, Arijit 6 Kim, Byungchan 6 Lee, Christine Ruey Shan 6 Len, Yoav 6 Li, Qin 6 Magron, Victor 6 Qian, Jianliang 6 Ruuth, Steven J. 6 Schlosser, Michael J. 6 Shi, Zuoqiang 6 Zhang, Zhiwen 5 Alfes-Neumann, Claudia 5 Beckwith, Olivia 5 Benjamin, Nathan 5 Bridges, Walter 5 Chen, Shichao 5 Cheung, Siu Wun 5 Choulli, Mourad 5 Craig, William 5 Diamantis, Nikolaos 5 Dower, Peter M. 5 Giannakis, Dimitrios 5 Hajij, Mustafa ...and 2,708 more Authors all top 5 Cited in 387 Journals 96 Research in the Mathematical Sciences 91 Journal of Computational Physics 64 Journal of Number Theory 63 Journal of High Energy Physics 46 Advances in Mathematics 39 Research in Number Theory 36 Journal of Scientific Computing 34 The Ramanujan Journal 32 Journal of Mathematical Analysis and Applications 30 International Journal of Number Theory 29 Mathematische Zeitschrift 28 Proceedings of the American Mathematical Society 25 Mathematische Annalen 25 Transactions of the American Mathematical Society 25 SIAM Journal on Scientific Computing 22 Multiscale Modeling & Simulation 21 Algebra & Number Theory 19 Communications in Mathematical Physics 17 Mathematics of Computation 17 Acta Arithmetica 17 Results in Mathematics 17 Selecta Mathematica. New Series 17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 17 Journal of Physics A: Mathematical and Theoretical 16 Computer Methods in Applied Mechanics and Engineering 16 Journal of Computational and Applied Mathematics 16 Advances in Applied Mathematics 16 Journal of Symbolic Computation 16 Forum of Mathematics, Sigma 15 Journal of Algebra 15 Journal of Combinatorial Theory. Series A 14 Physica D 13 SIAM Journal on Mathematical Analysis 13 Journal de Théorie des Nombres de Bordeaux 13 Oberwolfach Reports 13 Communications in Computational Physics 12 Inventiones Mathematicae 12 Journal of Pure and Applied Algebra 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Compositio Mathematica 11 Journal of Differential Equations 11 Journal of the London Mathematical Society. Second Series 11 Documenta Mathematica 10 Journal für die Reine und Angewandte Mathematik 10 Pacific Journal of Mathematics 10 Forum Mathematicum 10 SIAM Journal on Applied Algebra and Geometry 9 Israel Journal of Mathematics 9 SIAM Journal on Optimization 8 Bulletin of the London Mathematical Society 8 Mathematische Nachrichten 8 Communications in Nonlinear Science and Numerical Simulation 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Bulletin of the Australian Mathematical Society 7 Inverse Problems 7 Journal of Mathematical Physics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Nonlinearity 7 Manuscripta Mathematica 7 SIAM Journal on Numerical Analysis 7 Geometry & Topology 7 Annals of Mathematics. Second Series 7 Communications in Contemporary Mathematics 7 SIAM Journal on Imaging Sciences 7 Advances in Applied Mathematics and Mechanics 7 Annales Mathématiques du Québec 7 European Journal of Mathematics 6 Computers & Mathematics with Applications 6 Letters in Mathematical Physics 6 Mathematical Methods in the Applied Sciences 6 Archiv der Mathematik 6 Mathematika 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Knot Theory and its Ramifications 6 Journal of Nonlinear Science 6 Experimental Mathematics 6 Finite Fields and their Applications 6 Advances in Computational Mathematics 6 Vietnam Journal of Mathematics 6 Algebraic & Geometric Topology 6 Journal of Machine Learning Research (JMLR) 6 Analysis and Applications (Singapore) 6 SIAM/ASA Journal on Uncertainty Quantification 6 Algebraic Combinatorics 6 SN Partial Differential Equations and Applications 5 Annales de l’Institut Fourier 5 Applied Mathematics and Optimization 5 Canadian Journal of Mathematics 5 Journal of Functional Analysis 5 Proceedings of the London Mathematical Society. Third Series 5 SIAM Journal on Control and Optimization 5 Journal of the American Mathematical Society 5 The Annals of Applied Probability 5 SIAM Review 5 Journal of Mathematical Imaging and Vision 5 Journal of Algebraic Combinatorics 5 Calculus of Variations and Partial Differential Equations 5 Applied and Computational Harmonic Analysis 5 The Electronic Journal of Combinatorics ...and 287 more Journals all top 5 Cited in 61 Fields 857 Number theory (11-XX) 370 Algebraic geometry (14-XX) 362 Numerical analysis (65-XX) 351 Partial differential equations (35-XX) 221 Combinatorics (05-XX) 171 Computer science (68-XX) 163 Special functions (33-XX) 153 Quantum theory (81-XX) 108 Probability theory and stochastic processes (60-XX) 94 Fluid mechanics (76-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 81 Group theory and generalizations (20-XX) 76 Manifolds and cell complexes (57-XX) 70 Dynamical systems and ergodic theory (37-XX) 68 Operations research, mathematical programming (90-XX) 64 Commutative algebra (13-XX) 58 Nonassociative rings and algebras (17-XX) 56 Relativity and gravitational theory (83-XX) 53 Statistical mechanics, structure of matter (82-XX) 51 Convex and discrete geometry (52-XX) 49 Statistics (62-XX) 40 Biology and other natural sciences (92-XX) 39 Several complex variables and analytic spaces (32-XX) 37 Mechanics of deformable solids (74-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 36 Differential geometry (53-XX) 35 Topological groups, Lie groups (22-XX) 34 Approximations and expansions (41-XX) 34 Systems theory; control (93-XX) 33 Optics, electromagnetic theory (78-XX) 30 Global analysis, analysis on manifolds (58-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Operator theory (47-XX) 26 Field theory and polynomials (12-XX) 22 Real functions (26-XX) 21 Functions of a complex variable (30-XX) 20 Ordinary differential equations (34-XX) 20 Functional analysis (46-XX) 19 Algebraic topology (55-XX) 18 Associative rings and algebras (16-XX) 17 Information and communication theory, circuits (94-XX) 16 \(K\)-theory (19-XX) 14 General and overarching topics; collections (00-XX) 13 Category theory; homological algebra (18-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 11 Mechanics of particles and systems (70-XX) 10 Geometry (51-XX) 10 Geophysics (86-XX) 7 History and biography (01-XX) 7 Integral transforms, operational calculus (44-XX) 5 Sequences, series, summability (40-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Measure and integration (28-XX) 4 Difference and functional equations (39-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 2 Mathematical logic and foundations (03-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year