Journal of Number Theory Short Title: J. Number Theory Publisher: Elsevier (Academic Press), San Diego, CA ISSN: 0022-314X; 1096-1658/e Online: http://www.sciencedirect.com/science/journal/0022314X Comments: Journal; Indexed cover-to-cover Documents Indexed: 7,159 Publications (since 1969) References Indexed: 6,568 Publications with 101,649 References. all top 5 Latest Issues 269 (2025) 268 (2025) 267 (2025) 266 (2025) 265 (2024) 264 (2024) 263 (2024) 262 (2024) 261 (2024) 260 (2024) 259 (2024) 258 (2024) 257 (2024) 256 (2024) 255 (2024) 254 (2024) 253 (2023) 252 (2023) 251 (2023) 250 (2023) 249 (2023) 248 (2023) 247 (2023) 246 (2023) 245 (2023) 244 (2023) 243 (2023) 242 (2023) 241 (2022) 240 (2022) 239 (2022) 238 (2022) 237 (2022) 236 (2022) 235 (2022) 234 (2022) 233 (2022) 232 (2022) 231 (2022) 230 (2022) 229 (2021) 228 (2021) 227 (2021) 226 (2021) 225 (2021) 224 (2021) 223 (2021) 222 (2021) 221 (2021) 220 (2021) 219 (2021) 218 (2021) 217 (2020) 216 (2020) 215 (2020) 214 (2020) 213 (2020) 212 (2020) 211 (2020) 210 (2020) 209 (2020) 208 (2020) 207 (2020) 206 (2020) 205 (2019) 204 (2019) 203 (2019) 202 (2019) 201 (2019) 200 (2019) 199 (2019) 198 (2019) 197 (2019) 196 (2019) 195 (2019) 194 (2019) 193 (2018) 192 (2018) 191 (2018) 190 (2018) 189 (2018) 188 (2018) 187 (2018) 186 (2018) 185 (2018) 184 (2018) 183 (2018) 182 (2018) 181 (2017) 180 (2017) 179 (2017) 178 (2017) 177 (2017) 176 (2017) 175 (2017) 174 (2017) 173 (2017) 172 (2017) 171 (2017) 170 (2017) ...and 355 more Volumes all top 5 Authors 55 Luca, Florian 42 Chen, Yonggao 34 Shparlinski, Igor E. 33 Erdős, Pál 32 Murty, Maruti Ram 24 Nathanson, Melvyn Bernard 23 Sun, Zhi-Wei 21 Kim, Chang Heon 21 Miller, Steven J. 19 Chowla, Sarvadaman 19 Oh, Byeong-Kweon 19 Sárközy, András 19 Zaharescu, Alexandru 19 Zhang, Wenpeng 18 Byeon, Dongho 18 Gekeler, Ernst-Ulrich 18 Hajdu, Lajos 18 Lu, Guangshi 18 Pohst, Michael 17 Tzanakis, Nikos 16 Jeon, Daeyeol 16 Jeong, Sangtae 16 Pollack, Paul 16 Williams, Kenneth S. 16 Young, Paul Thomas 15 Bremner, Andrew 15 Louboutin, Stéphane R. 14 Choi, Soyoung 14 Im, Bo-Hae 14 Moree, Pieter 14 Pan, Hao 14 Pethő, Attila 14 Sun, Zhihong 14 Trudgian, Timothy S. 13 Buium, Alexandru 13 Cochrane, Todd 13 Gao, Weidong 13 Hensley, Doug 13 Ruzsa, Imre Z. 13 Sander, Jürgen W. 13 Ulas, Maciej 13 Yokota, Hisashi 13 Zhai, Wenguang 12 Hall, Richard R. 12 Hu, Su 12 Katsurada, Hidenori 12 Kim, Minsoo 12 Lagarias, Jeffrey C. 12 Lee, Yoonjin 12 Lu, Dawei 12 Pomerance, Carl Bernard 12 Silverman, Joseph Hillel 12 Togbé, Alain 12 Wu, Jie 12 Zassenhaus, Hans Julius 11 Andrews, George Eyre 11 Anglès, Bruno 11 Chen, Chaoping 11 Gaál, István 11 Ghioca, Dragos 11 Halter-Koch, Franz 11 Keating, Kevin 11 Languasco, Alessandro 11 Merca, Mircea 11 Ono, Ken 11 Parry, Charles J. 11 Pellarin, Federico 11 Sankaranarayanan, Ayyadurai 11 Washington, Lawrence C. 10 Alkan, Emre 10 Eie, Minking 10 Filaseta, Michael A. 10 Garcia, Stephan Ramon 10 Gun, Sanoli 10 Matala-aho, Tapani 10 Mauduit, Christian 10 Morton, Patrick 10 Papikian, Mihran 10 Rosen, Michael I. 10 Schmidt, Wolfgang M. 10 Sodaïgui, Bouchaïb 10 Virdol, Cristian 10 Ye, Dongxi 10 Ye, Yangbo 9 Allouche, Jean-Paul Simon 9 Chowla, Paromita 9 Dubickas, Artūras 9 Elliott, Peter D. T. A. 9 Girstmair, Kurt 9 Gras, Georges 9 Hong, Shaofang 9 Komatsu, Takao 9 Kučera, Radan 9 Le, Maohua 9 Li, Wen-Ch’ing Winnie 9 Mignotte, Maurice 9 Walling, Lynne Heather 9 Wong, Siman 8 Agoh, Takashi 8 Baier, Stephan ...and 5,430 more Authors all top 5 Fields 6,843 Number theory (11-XX) 744 Algebraic geometry (14-XX) 337 Combinatorics (05-XX) 257 Group theory and generalizations (20-XX) 207 Field theory and polynomials (12-XX) 199 Special functions (33-XX) 152 Dynamical systems and ergodic theory (37-XX) 132 Topological groups, Lie groups (22-XX) 119 Commutative algebra (13-XX) 75 Functions of a complex variable (30-XX) 68 Associative rings and algebras (16-XX) 53 Measure and integration (28-XX) 52 Convex and discrete geometry (52-XX) 51 Approximations and expansions (41-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 47 \(K\)-theory (19-XX) 41 Computer science (68-XX) 39 Information and communication theory, circuits (94-XX) 36 Sequences, series, summability (40-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 34 Probability theory and stochastic processes (60-XX) 32 Real functions (26-XX) 25 Several complex variables and analytic spaces (32-XX) 23 Mathematical logic and foundations (03-XX) 18 Functional analysis (46-XX) 17 History and biography (01-XX) 17 Nonassociative rings and algebras (17-XX) 17 Geometry (51-XX) 15 Numerical analysis (65-XX) 14 Category theory; homological algebra (18-XX) 14 Ordinary differential equations (34-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Quantum theory (81-XX) 11 Abstract harmonic analysis (43-XX) 9 Difference and functional equations (39-XX) 8 Operator theory (47-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 General and overarching topics; collections (00-XX) 7 Integral transforms, operational calculus (44-XX) 6 Differential geometry (53-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 4 Partial differential equations (35-XX) 4 General topology (54-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General algebraic systems (08-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Operations research, mathematical programming (90-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 5,902 Publications have been cited 43,077 times in 25,957 Documents Cited by ▼ Year ▼ Probabilistic algorithm for testing primality. Zbl 0426.10006 Rabin, Michael O. 145 1980 A combinatorial problem on finite Abelian groups. I. Zbl 0169.02003 Olson, J. E. 127 1969 On a problem of Oppenheim concerning ”Factorisatio Numerorum”. Zbl 0513.10043 Canfield, E. R.; Erdős, Paul; Pomerance, Carl 125 1983 Linear forms in two logarithms and interpolation determinants. (Formes linéaires en deux logarithmes et déterminants d’interpolation.) Zbl 0843.11036 Laurent, Michel; Mignotte, Maurice; Nesterenko, Yuri 113 1995 Cyclotomy and difference families in elementary Abelian groups. Zbl 0259.05011 Wilson, Richard M. 112 1972 Ramanujan-type supercongruences. Zbl 1231.11147 Zudilin, Wadim 109 2009 The Pjateckii-Sapiro prime number theorem. Zbl 0513.10042 Heath-Brown, D. R. 104 1983 Low-discrepancy and low-dispersion sequences. Zbl 0651.10034 Niederreiter, Harald 104 1988 The elliptic dilogarithm for the sunset graph. Zbl 1319.81044 Bloch, Spencer; Vanhove, Pierre 103 2015 A note on optimal unimodular lattices. Zbl 0917.11027 Conway, J. H.; Sloane, N. J. A. 99 1998 On the number of positive integers \(\leq x\) and free of prime factors \(>y\). Zbl 0575.10038 Hildebrand, Adolf 97 1986 A combinatorial problem on finite Abelian groups. II. Zbl 0167.28004 Olson, J. E. 92 1969 On the asymptotic behaviour of some towers of function fields over finite fields. Zbl 0893.11047 Garcia, Arnaldo; Stichtenoth, Henning 88 1996 Definite quadratische Formen der Dimension 24 und Diskriminante 1. Zbl 0258.10009 Niemeier, Hans-Volker 84 1973 A generalization of the duality and sum formulas on the multiple zeta values. Zbl 0920.11063 Ohno, Yasuo 82 1999 Class numbers of indefinite binary quadratic forms. Zbl 0499.10021 Sarnak, Peter 80 1982 Sums of products of Bernoulli numbers. Zbl 0863.11011 Dilcher, Karl 80 1996 On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals. Zbl 0941.11048 Kim, Taekyun 80 1999 On the practical solution of the Thue equation. Zbl 0657.10014 Tzanakis, N.; de Weger, B. M. M. 76 1989 On the equation \(\zeta_K(s)=\zeta_{K'}(s)\). Zbl 0389.12006 Perlis, Robert 75 1977 The positivity of a sequence of numbers and the Riemann hypothesis. Zbl 0884.11036 Li, Xian-Jin 72 1997 Wieferich’s criterion and the abc-conjecture. Zbl 0654.10019 Silverman, Joseph H. 72 1988 On Hensel factorization. I. Zbl 0188.33703 Zassenhaus, Hans 70 1969 Another congruence for the Apéry numbers. Zbl 0614.10011 Beukers, F. 68 1987 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079 Bombieri, Enrico; Lagarias, Jeffrey C. 66 1999 The polynomial method and restricted sums of congruence classes. Zbl 0861.11006 Alon, Noga; Nathanson, Melvyn B.; Ruzsa, Imre 63 1996 A combinatorial problem on finite abelian groups. Zbl 0892.11005 Gao, W. D. 62 1996 Badly approximable systems of linear forms. Zbl 0172.06401 Schmidt, W. M. 62 1969 \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers. Zbl 1114.11019 Simsek, Yilmaz 62 2005 A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Zbl 1074.11045 Mortenson, Eric 61 2003 Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. Zbl 0334.12019 Kisilevsky, H. 60 1976 New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions. Zbl 1275.11136 Yao, Olivia X. M.; Xia, Ernest X. W. 57 2013 Quadratic alternating harmonic number sums. Zbl 1310.05014 Sofo, Anthony 57 2015 Integral bases and monogenity of pure fields. Zbl 1419.11118 Gaál, István; Remete, László 57 2017 Apollonian circle packings: Number theory. Zbl 1026.11058 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 55 2003 Some congruences for Apery numbers. Zbl 0482.10003 Gessel, Ira 54 1982 Construction of large families of pseudorandom binary sequences. Zbl 1049.11089 Goubin, Louis; Mauduit, Christian; Sárközy, András 54 2004 An explicit formula for local densities of quadratic forms. Zbl 0930.11021 Yang, Tonghai 54 1998 Matrices associated with classes of arithmetical functions. Zbl 0784.11002 Bourque, Keith; Ligh, Steve 53 1993 On Miki’s identity for Bernoulli numbers. Zbl 1073.11013 Gessel, Ira M. 53 2005 On the divisor and circle problems. Zbl 0644.10031 Iwaniec, H.; Mozzochi, C. J. 51 1988 Complete solutions to a family of cubic Diophantine equations. Zbl 0697.10011 Thomas, Emery 50 1990 Mean values of Dedekind sums. Zbl 0851.11028 Conrey, J. B.; Fransen, Eric; Klein, Robert; Scott, Clayton 50 1996 A lower bound for the height in abelian extensions. Zbl 0973.11092 Amoroso, Francesco; Dvornicich, Robert 50 2000 On the distribution of Galois groups. Zbl 1022.11058 Malle, Gunter 50 2002 Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Zbl 0745.28005 Hensley, Doug 50 1992 Two closed forms for the Bernoulli polynomials. Zbl 1400.11070 Qi, Feng; Chapman, Robin J. 50 2016 Exponential sums with monomials. Zbl 0687.10028 Fouvry, Etienne; Iwaniec, Henryk 49 1989 A relation between Bernoulli numbers. Zbl 0379.10007 Miki, Hiroo 49 1978 Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013 de Weger, B. M. M. 49 1987 Products of polynomials in many variables. Zbl 0729.30004 Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L. 48 1990 A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets. Zbl 0858.11039 Hensley, Douglas 48 1996 Real quadratic fields with class numbers divisible by \(n\). Zbl 0287.12007 Weinberger, P. J. 48 1973 Identities between modular graph forms. Zbl 1450.11062 D’Hoker, Eric; Green, Michael B. 48 2018 Identities involving Frobenius-Euler polynomials arising from non-linear differential equations. Zbl 1262.11024 Kim, Taekyun 47 2012 Uniform cyclotomy. Zbl 0475.12026 Baumert, L. D.; Mills, W. H.; Ward, Robert L. 47 1982 Elasticity of factorization in number fields. Zbl 0721.11043 Valenza, R. J. 46 1990 Modular lattices in Euclidean spaces. Zbl 0874.11038 Quebbemann, H.-G. 46 1995 Sequences with subword complexity \(2n\). Zbl 0804.11023 Rote, Günter 46 1994 Solving Thue equations of high degree. Zbl 0867.11017 Bilu, Yuri; Hanrot, Guillaume 46 1996 Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058 Cochrane, Todd; Pinner, Christopher 46 2006 Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027 Berndt, Bruce C.; Evans, Ronald J. 46 1979 On Artin’s conjecture. Zbl 0526.12010 Murty, M. Ram 45 1983 On congruences related to central binomial coefficients. Zbl 1261.11019 Sun, Zhi-Wei 45 2011 An absolute bound for the size of Diophantine \(m\)-tuples. Zbl 1010.11019 Dujella, Andrej 45 2001 Convolution identities and lacunary recurrences for Bernoulli numbers. Zbl 1137.11014 Agoh, Takashi; Dilcher, Karl 45 2007 On the topological structure of univoque sets. Zbl 1111.11005 Komornik, Vilmos; Loreti, Paola 45 2007 Generalized Legendre polynomials and related supercongruences. Zbl 1353.11005 Sun, Zhi-Hong 45 2014 Torsion units in integral group rings of some metabelian groups. II. Zbl 0611.16007 Marciniak, Z.; Ritter, J.; Sehgal, S. K.; Weiss, A. 44 1987 The hyperring of adèle classes. Zbl 1221.14002 Connes, Alain; Consani, Caterina 44 2011 Jacobians of genus one curves. Zbl 1066.14035 An, Sang Yook; Kim, Seog Young; Marshall, David C.; Marshall, Susan H.; McCallum, William G.; Perlis, Alexander R. 44 2001 Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers. (Minoration effective de la distance \(p\)-adique entre puissances de nombres algébriques.) Zbl 0870.11045 Bugeaud, Y.; Laurent, M. 44 1996 The shadow theory of modular and unimodular lattices. Zbl 0917.11026 Rains, E. M.; Sloane, N. J. A. 44 1998 Note on cubics over \(GF(2^n)\) and \(GF(3^n)\). Zbl 0321.12029 Williams, Kenneth S. 44 1975 \(\ell\)-extensions of CM-fields and cyclotomic invariants. Zbl 0455.12007 Kida, Yûji 44 1980 A conjecture on Whittaker-Fourier coefficients of cusp forms. Zbl 1396.11081 Lapid, Erez; Mao, Zhengyu 44 2015 Some congruences for the Apéry numbers. Zbl 0571.10008 Beukers, F. 43 1985 Note on the Euler \(q\)-zeta functions. Zbl 1221.11231 Kim, Taekyun 43 2009 Transcendence of numbers with a low complexity expansion. Zbl 0895.11029 Ferenczi, Sébastien; Mauduit, Christian 43 1997 A formula of S. Ramanujan. Zbl 0606.10032 Sitaramachandrarao, R. 43 1987 Euler sums and integrals of polylogarithm functions. Zbl 1349.11054 Xu, Ce; Yan, Yuhuan; Shi, Zhijuan 43 2016 A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra. Zbl 1295.11023 Dere, Rahime; Simsek, Yilmaz; Srivastava, H. M. 43 2013 Periodic points, linearizing maps, and the dynamical Mordell-Lang problem. Zbl 1186.14047 Ghioca, Dragos; Tucker, T. J. 42 2009 Rank and crank moments for overpartitions. Zbl 1248.11076 Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert 42 2009 On maximal curves. Zbl 0914.11036 Fuhrmann, Rainer; Garcia, Arnaldo; Torres, Fernando 42 1997 On the probability that \(k\) positive integers are relatively prime. Zbl 0246.10038 Nymann, J. E. 42 1972 Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\). Zbl 1169.11002 Alaca, Şaban; Williams, Kenneth S. 42 2007 Simple continued fractions for some irrational numbers. Zbl 0404.10003 Shallit, Jeffrey 42 1979 Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen. Zbl 0404.13004 Trinks, Wolfgang 42 1978 Degenerate Bernoulli polynomials, generalized factorial sums, and their applications. Zbl 1204.11053 Young, Paul Thomas 42 2008 Spectra of hypergraphs and applications. Zbl 0874.05041 Feng, Keqin; Li, Wen-Ch’ing Winnie 41 1996 Euclidean algorithms are Gaussian. Zbl 1114.11092 Baladi, Viviane; Vallée, Brigitte 41 2005 Congruences involving Bernoulli and Euler numbers. Zbl 1154.11010 Sun, Zhihong 41 2008 Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036 Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q. 41 2001 Generalized modular forms. Zbl 1074.11025 Knopp, Marvin; Mason, Geoffrey 41 2003 Iwasawa theory for elliptic curves at supersingular primes: a pair of Main Conjectures. Zbl 1284.11147 Sprung, Florian E. Ito 40 2012 Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case. Zbl 0841.11026 Barthel, L.; Livné, R. 40 1995 On the structure of the irreducible polynomials over local fields. Zbl 0838.11078 Popescu, Nicolae; Zaharescu, Alexandru 40 1995 Factoring polynomials and the knapsack problem. Zbl 1081.11080 van Hoeij, Mark 40 2002 On Néron’s classification of elliptic curves of residue characteristics 2 and 3. (Sur la classification de Néron des courbes elliptiques en caractéristique résiduelle 2 et 3.) Zbl 0786.14020 Papadopoulos, Ioannis 40 1993 An improved explicit estimate for \(\zeta(1/2 + it)\). Zbl 1541.11067 Hiary, Ghaith A.; Patel, Dhir; Yang, Andrew 6 2024 Bounds on the norms of maximal operators on Weyl sums. Zbl 07794615 Baker, Roger C.; Chen, Changhao; Shparlinski, Igor E. 3 2024 Asymptotic equidistribution for partition statistics and topological invariants. Zbl 07794617 Cesana, Giulia; Craig, William; Males, Joshua 3 2024 Massey products in Galois cohomology and the elementary type conjecture. Zbl 1537.12006 Quadrelli, Claudio 3 2024 Non-Pólya bi-quadratic fields with an Euclidean ideal class. Zbl 1541.13019 Chattopadhyay, Jaitra; Saikia, Anupam 2 2024 Special values of spectral zeta functions of graphs and Dirichlet \(L\)-functions. Zbl 1545.11080 Xie, Bing; Zhao, Yigeng; Zhao, Yongqiang 2 2024 On integers of the form \(p + 2^{k_1^{r_1}} + \cdots + 2^{k_t^{r_t}}\). Zbl 1541.11082 Chen, Yong-Gao; Xu, Ji-Zhen 2 2024 An explicit sub-Weyl bound for \(\zeta (1/2 + it)\). Zbl 1546.11119 Patel, Dhir; Yang, Andrew 2 2024 Shimura curves and the abc conjecture. Zbl 07748223 Pasten, Hector 2 2024 Sato-Tate type distributions for matrix points on elliptic curves and some K3 surfaces. Zbl 07827487 Blaser, Avalon; Bradley, Molly; Vargas, Daniel A. N.; Xing, Kathy 1 2024 Corrigendum to: “Existential definability and Diophantine stability”. Zbl 1541.11105 Mazur, Barry; Rubin, Karl; Shlapentokh, Alexandra 1 2024 Characterization of quadratic \(\varepsilon\)-CNS polynomials. Zbl 1542.11013 Jadrijević, Borka; Miletić, Kristina 1 2024 Class numbers of multinorm-one tori. Zbl 07802056 Hung, Fan-Yun; Yu, Chia-Fu 1 2024 Finiteness of analytic cohomology of Lubin-Tate \(( \varphi_L,\Gamma_L)\)-modules. Zbl 07895025 Steingart, Rustam 1 2024 Global liftings between inner forms of \(\mathrm{GSp}(4)\). Zbl 07895026 Rösner, Mirko; Weissauer, Rainer 1 2024 Cullen numbers and Woodall numbers in generalized Fibonacci sequences. Zbl 1547.11046 Bérczes, Attila; Pink, István; Young, Paul Thomas 1 2024 Ankeny-Artin-Chowla and Mordell conjectures in terms of \(p\)-rationality. Zbl 1545.11096 Benmerieme, Y.; Movahhedi, A. 1 2024 The critical polynomial of a graph. Zbl 1536.05259 Lorenzini, Dino 1 2024 Mean of the product of derivatives of Hardy’s \(Z\)-function with Dirichlet polynomial. Zbl 07802064 Das, Mithun Kumar; Pujahari, Sudhir 1 2024 On certain kernel functions and shifted convolution sums of the Fourier coefficients. Zbl 1533.11090 Venkatasubbareddy, Kampamolla; Sankaranarayanan, Ayyadurai 1 2024 Existential definability and diophantine stability. Zbl 1537.11143 Mazur, Barry; Rubin, Karl; Shlapentokh, Alexandra 1 2024 Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces. Zbl 1535.14061 Dao, Quang-Duc 1 2024 Evaluations of the areal Mahler measure of multivariable polynomials. Zbl 1534.11126 Lalin, Matilde N.; Roy, Subham 1 2024 An inequality related to the sieve of Eratosthenes. Zbl 1539.11123 Fan, Kai; Pomerance, Carl 1 2024 On periodic alternate base expansions. Zbl 1536.11120 Charlier, Émilie; Cisternino, Célia; Kreczman, Savinien 1 2024 Explicit bounds for large gaps between squarefree integers. Zbl 1539.11125 Kumchev, Angel; McCormick, Wade; McNew, Nathan; Park, Ariana; Scherr, Russell; Ziehr, Willow 1 2024 Primes between consecutive powers. Zbl 1520.11083 Cully-Hugill, Michaela 8 2023 A congruence family for 2-elongated plane partitions: an application of the localization method. Zbl 1507.11094 Smoot, Nicolas Allen 5 2023 The rational cuspidal divisor class group of \(X_0(N)\). Zbl 1523.11107 Yoo, Hwajong 5 2023 A paucity problem associated with a shifted integer analogue of the divisor function. Zbl 1505.11125 Heap, Winston; Sahay, Anurag; Wooley, Trevor D. 4 2023 Spectrum, algebraicity and normalization in alternate bases. Zbl 1523.11135 Charlier, Émilie; Cisternino, Célia; Masáková, Zuzana; Pelantová, Edita 4 2023 On \(p\)-adic Siegel Eisenstein series. Zbl 1533.11093 Katsurada, Hidenori; Nagaoka, Shoyu 4 2023 Padé approximation for a class of hypergeometric functions and parametric geometry of numbers. Zbl 1518.11055 Kawashima, Makoto; Poëls, Anthony 4 2023 Bounds on bilinear sums of Kloosterman sums. Zbl 1506.11108 Bag, Nilanjan; Shparlinski, Igor E. 3 2023 Underapproximation by Egyptian fractions. Zbl 1522.11022 Nathanson, Melvyn B. 3 2023 Triquadratic \(p\)-rational fields. Zbl 1509.11106 Koperecz, Julien 3 2023 Fekete polynomials, quadratic residues, and arithmetic. Zbl 1498.11090 Mináč, Ján; Tung T. Nguyen; Nguyêñ Duy Tân 3 2023 Counting ideals in ray classes. Zbl 1517.11141 Gun, Sanoli; Ramaré, Olivier; Sivaraman, Jyothsnaa 3 2023 Continued fractions over non-Euclidean imaginary quadratic rings. Zbl 1510.11024 Martin, Daniel E. 3 2023 Chebyshev’s bias against splitting and principal primes in global fields. Zbl 1518.11082 Aoki, Miho; Koyama, Shin-ya 3 2023 Euler’s factorial series, Hardy integral, and continued fractions. Zbl 1514.11043 Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna 3 2023 Linear independence of even periods of modular forms. Zbl 1534.11063 Lei, Austin; Ni, Tianyu; Xue, Hui 3 2023 Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions. Zbl 1511.05013 Jackson, Faye; Otgonbayar, Misheel 3 2023 Generalizations of Sturmian sequences associated with \(\boldsymbol{N}\)-continued fraction algorithms. Zbl 07691009 Langeveld, Niels; Rossi, Lucía; Thuswaldner, Jörg M. 3 2023 On Galois groups of linearized polynomials related to the general linear group of prime degree. Zbl 07734980 Gow, Rod; McGuire, Gary 3 2023 Inequalities for the broken \(k\)-diamond partition functions. Zbl 1512.05052 Jia, Dennis X. Q. 3 2023 The Sato-Tate conjecture and Nagao’s conjecture. Zbl 1529.11077 Kim, Seoyoung 2 2023 Good elliptic curves with a specified torsion subgroup. Zbl 1505.11085 Barrios, Alexander J. 2 2023 Classification of all Galois subcovers of the Skabelund maximal curves. Zbl 1508.14030 Beelen, Peter; Landi, Leonardo; Montanucci, Maria 2 2023 A note on Galois representations valued in reductive groups with open image. Zbl 1507.11046 Tang, Shiang 2 2023 Twisted Ruelle zeta function at zero for compact hyperbolic surfaces. Zbl 1511.11074 Frahm, Jan; Spilioti, Polyxeni 2 2023 Simultaneous rational periodic points of degree-2 rational maps. Zbl 1505.37110 Barsakçı, Burcu; Sadek, Mohammad 2 2023 The ring of integers of Hopf-Galois degree \(p\) extensions of \(p\)-adic fields with dihedral normal closure. Zbl 1510.11158 Gil-Muñoz, Daniel 2 2023 Bounding vanishing at the central point of cuspidal newforms. Zbl 1510.11131 Li, Jiahui (Stella); Miller, Steven J. 2 2023 Infinite families of isogeny-torsion graphs. Zbl 1525.11061 Chiloyan, Garen 2 2023 Double coset operators and eta-quotients. Zbl 1536.11074 Zhou, Hai-Gang; Zhu, Xiao-Jie 2 2023 Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families. Zbl 1528.11115 Kim, Chan-Ho; Longo, Matteo 2 2023 Secondary terms in the asymptotics of moments of \(L\)-functions. Zbl 1527.11067 Diaconu, Adrian; Twiss, Henry 2 2023 Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality. Zbl 1525.11119 Gajdzica, Krystian 2 2023 Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions. Zbl 1525.11121 Keith, William J.; Zanello, Fabrizio 2 2023 On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields. Zbl 1525.11080 Kim, Taehyeong; Lim, Seonhee; Paulin, Frédéric 2 2023 Numerical estimates on the Landau-Siegel zero and other related quantities. Zbl 1539.11117 Languasco, Alessandro 2 2023 Special values of \(L\)-functions on regular arithmetic schemes of dimension 1. Zbl 1536.14018 Morin, Adrien 2 2023 A unified strategy to compute some special functions of number-theoretic interest. Zbl 1533.33030 Languasco, Alessandro 2 2023 Congruence relations for \(r\)-colored partitions. Zbl 1520.11089 Dicks, Robert 2 2023 Hybrid subconvexity and the partition function. Zbl 1506.11072 Andersen, Nickolas; Wu, Han 1 2023 Primitively universal quaternary quadratic forms. Zbl 1508.11045 Ju, Jangwon; Kim, Daejun; Kim, Kyoungmin; Kim, Mingyu; Oh, Byeong-Kweon 1 2023 On genus one curves violating the local-global principle. Zbl 1496.14030 Wu, Han 1 2023 Fields of definition of \(K3\) surfaces with complex multiplication. Zbl 1507.14056 Valloni, Domenico 1 2023 Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function. Zbl 1512.11043 Wang, Liuquan; Yang, Yifan 1 2023 On the Glasner property for matrices with polynomial entries. Zbl 1518.11054 Shparlinski, Igor E. 1 2023 On Greenberg’s generalized conjecture. Zbl 1522.11112 Assim, J.; Boughadi, Z. 1 2023 Extrema of polynomials with real roots and Diophantine equations. Zbl 1522.11018 Hajdu, L.; Herendi, O. 1 2023 Jutila’s circle method and \(\mathrm{GL}(2) \times \mathrm{GL}(2)\) shifted convolution sums. Zbl 1512.11041 Hu, Guangwei; Lü, Guangshi 1 2023 Bias of root numbers for Hilbert newforms of cubic level. Zbl 1525.11050 Luo, Zhilin; Pi, Qinghua; Wu, Han 1 2023 Poissonian correlations of higher orders. Zbl 1515.11072 Hauke, Manuel; Zafeiropoulos, Agamemnon 1 2023 On the density of a set of primes associated to an elliptic curve. Zbl 1541.11052 Arala, Nuno 1 2023 Cohomology of congruence subgroups of \(\mathrm{SL}_3(\mathbb{Z})\), Steinberg modules, and real quadratic fields. Zbl 1514.20197 Ash, Avner; Yasaki, Dan 1 2023 Torsions in cohomology of \(\mathrm{SL}_2(\mathbb{Z})\) and congruence of modular forms. Zbl 1525.11057 Deng, Taiwang 1 2023 On the connected components of Shimura varieties for CM unitary groups in odd variables. Zbl 1515.11061 Oki, Yasuhiro 1 2023 On the existence of maximal spanning vectors in \(L^2( \mathbb{Q}_2)\) and \(L^2( \mathbb{F}_2((T)))\). Zbl 1509.42038 Cheng, Chuangxun; Lu, Jiuyi 1 2023 Factorization of coefficients for exponential and logarithm in function fields. Zbl 1515.11055 Chung, Kwun 1 2023 Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields. Zbl 1514.14057 Ghioca, Dragos; Saleh, Sina 1 2023 Representing multiples of \(m\) in real quadratic fields as sums of squares. Zbl 1518.11035 Raška, Martin 1 2023 Algebraic construction of Weyl invariant \(E_8\) Jacobi forms. Zbl 1514.11029 Sakai, Kazuhiro 1 2023 On linear independence of Dirichlet \(L\) values. Zbl 1510.11125 Gun, Sanoli; Kandhil, Neelam; Philippon, Patrice 1 2023 Optimality of two inequalities for exponents of Diophantine approximation. 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Zbl 1510.05012 Andrews, George; Keith, William 1 2023 Irreducible polynomials in quadratic semigroups. Zbl 1515.37109 Hindes, Wade; Jacobs, Reiyah; Ye, Peter 1 2023 Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas. Zbl 1528.11070 Jing, Mengyao; Liu, Huaning 1 2023 Quadratic forms representing large integers only. Zbl 1525.11038 Kim, Mingyu; Oh, Byeong-Kweon 1 2023 Dichotomous point counts over finite fields. Zbl 1531.11060 Wang, Victor Y. 1 2023 Algebraic properties of the values of newform Dedekind sums. Zbl 1533.11081 Majure, Mitchell 1 2023 ...and 1276 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 15,423 Authors 178 Luca, Florian 172 Shparlinski, Igor E. 128 Kim, Taekyun 91 Chen, Yonggao 87 Zaharescu, Alexandru 79 Simsek, Yilmaz 79 Zhang, Wenpeng 78 Sun, Zhi-Wei 75 Togbé, Alain 74 Guo, Victor J. W. 73 Dubickas, Artūras 69 Murty, Maruti Ram 68 Bugeaud, Yann 65 Kim, Dae San 62 Komatsu, Takao 59 Hong, Shaofang 57 Merca, Mircea 56 Pollack, Paul 54 Qi, Feng 53 Moree, Pieter 53 Srivastava, Hari Mohan 50 Barman, Rupam 49 Shkredov, Il’ya Dmitrievich 49 Xia, Ernest X. 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New Series 52 Integral Transforms and Special Functions 50 American Mathematical Monthly 49 Annales Mathématiques du Québec 48 Canadian Mathematical Bulletin 48 Documenta Mathematica 48 AIMS Mathematics 47 Combinatorica 46 Journal of the American Mathematical Society 46 Expositiones Mathematicae ...and 703 more Journals all top 5 Cited in 62 Fields 21,619 Number theory (11-XX) 2,765 Algebraic geometry (14-XX) 2,723 Combinatorics (05-XX) 1,437 Group theory and generalizations (20-XX) 1,279 Special functions (33-XX) 908 Field theory and polynomials (12-XX) 886 Dynamical systems and ergodic theory (37-XX) 709 Computer science (68-XX) 697 Commutative algebra (13-XX) 681 Information and communication theory, circuits (94-XX) 564 Topological groups, Lie groups (22-XX) 457 Functions of a complex variable (30-XX) 417 Associative rings and algebras (16-XX) 411 Quantum theory (81-XX) 401 Measure and integration (28-XX) 380 Linear and multilinear algebra; matrix theory (15-XX) 362 Numerical analysis (65-XX) 356 Probability theory and stochastic processes (60-XX) 333 Convex and discrete geometry (52-XX) 300 Real functions (26-XX) 282 Harmonic analysis on Euclidean spaces (42-XX) 240 Approximations and expansions (41-XX) 198 \(K\)-theory (19-XX) 193 Several complex variables and analytic spaces (32-XX) 178 Functional analysis (46-XX) 171 Sequences, series, summability (40-XX) 164 Mathematical logic and foundations (03-XX) 139 Nonassociative rings and algebras (17-XX) 131 Manifolds and cell complexes (57-XX) 129 Geometry (51-XX) 117 Difference and functional equations (39-XX) 117 Global analysis, analysis on manifolds (58-XX) 110 Ordinary differential equations (34-XX) 110 Operator theory (47-XX) 94 Relativity and gravitational theory (83-XX) 88 Differential geometry (53-XX) 88 Statistical mechanics, structure of matter (82-XX) 86 Partial differential equations (35-XX) 81 History and biography (01-XX) 74 Category theory; homological algebra (18-XX) 71 Operations research, mathematical programming (90-XX) 69 Order, lattices, ordered algebraic structures (06-XX) 68 Algebraic topology (55-XX) 67 Statistics (62-XX) 62 Abstract harmonic analysis (43-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 General and overarching topics; collections (00-XX) 42 Integral transforms, operational calculus (44-XX) 39 General topology (54-XX) 19 Potential theory (31-XX) 19 Biology and other natural sciences (92-XX) 17 Mechanics of particles and systems (70-XX) 17 Mechanics of deformable solids (74-XX) 15 Integral equations (45-XX) 15 Mathematics education (97-XX) 14 Systems theory; control (93-XX) 11 General algebraic systems (08-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) Citations by Year