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: 7,023 Publications (since 1969) References Indexed: 6,434 Publications with 98,741 References. all top 5 Latest Issues 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) 169 (2016) 168 (2016) 167 (2016) 166 (2016) 165 (2016) 164 (2016) 163 (2016) 162 (2016) 161 (2016) 160 (2016) ...and 345 more Volumes all top 5 Authors 53 Luca, Florian 42 Chen, Yonggao 33 Erdős, Pál 33 Shparlinski, Igor E. 31 Murty, Maruti Ram 24 Nathanson, Melvyn Bernard 23 Sun, Zhi-Wei 21 Kim, Chang Heon 20 Miller, Steven J. 19 Chowla, Sarvadaman 19 Sárközy, András 19 Zaharescu, Alexandru 19 Zhang, Wenpeng 18 Byeon, Dongho 18 Lu, Guangshi 18 Oh, Byeong-Kweon 18 Pohst, Michael E. 17 Gekeler, Ernst-Ulrich 17 Hajdu, Lajos 17 Tzanakis, Nikos 16 Jeon, Daeyeol 16 Jeong, Sangtae 16 Williams, Kenneth S. 15 Bremner, Andrew 15 Louboutin, Stéphane R. 15 Pollack, Paul 15 Young, Paul Thomas 14 Choi, Soyoung 14 Im, Bo-Hae 14 Moree, Pieter 14 Pan, Hao 14 Sun, Zhihong 13 Buium, Alexandru 13 Cochrane, Todd 13 Gao, Weidong 13 Pethő, Attila 13 Ruzsa, Imre Z. 13 Sander, Jürgen W. 13 Ulas, Maciej 13 Zhai, Wenguang 12 Hall, Richard R. 12 Hu, Su 12 Kim, Minsoo 12 Lagarias, Jeffrey C. 12 Lee, Yoonjin 12 Lu, Dawei 12 Pomerance, Carl Bernard 12 Togbé, Alain 12 Wu, Jie 12 Yokota, Hisashi 12 Zassenhaus, Hans Julius 11 Andrews, George Eyre 11 Anglès, Bruno 11 Chen, Chaoping 11 Gaál, István 11 Halter-Koch, Franz 11 Katsurada, Hidenori 11 Keating, Kevin 11 Languasco, Alessandro 11 Merca, Mircea 11 Ono, Ken 11 Parry, Charles J. 11 Pellarin, Federico 11 Silverman, Joseph Hillel 11 Washington, Lawrence C. 10 Alkan, Emre 10 Eie, Minking 10 Filaseta, Michael A. 10 Garcia, Stephan Ramon 10 Ghioca, Dragos 10 Gun, Sanoli 10 Matala-aho, Tapani 10 Mauduit, Christian 10 Morton, Patrick 10 Papikian, Mihran 10 Rosen, Michael I. 10 Sankaranarayanan, Ayyadurai 10 Schmidt, Wolfgang M. 10 Sodaïgui, Bouchaïb 10 Virdol, Cristian 10 Ye, Dongxi 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 9 Ye, Yangbo 8 Agoh, Takashi 8 Baier, Stephan 8 Balasubramanian, Ramachandran 8 Bayad, Abdelmejid ...and 5,299 more Authors all top 5 Fields 6,710 Number theory (11-XX) 724 Algebraic geometry (14-XX) 331 Combinatorics (05-XX) 252 Group theory and generalizations (20-XX) 204 Field theory and polynomials (12-XX) 198 Special functions (33-XX) 149 Dynamical systems and ergodic theory (37-XX) 128 Topological groups, Lie groups (22-XX) 115 Commutative algebra (13-XX) 73 Functions of a complex variable (30-XX) 67 Associative rings and algebras (16-XX) 52 Convex and discrete geometry (52-XX) 51 Measure and integration (28-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 50 Approximations and expansions (41-XX) 46 \(K\)-theory (19-XX) 40 Computer science (68-XX) 38 Information and communication theory, circuits (94-XX) 36 Sequences, series, summability (40-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 33 Probability theory and stochastic processes (60-XX) 32 Real functions (26-XX) 24 Several complex variables and analytic spaces (32-XX) 22 Mathematical logic and foundations (03-XX) 18 Functional analysis (46-XX) 17 History and biography (01-XX) 17 Nonassociative rings and algebras (17-XX) 16 Geometry (51-XX) 14 Category theory; homological algebra (18-XX) 14 Ordinary differential equations (34-XX) 14 Numerical analysis (65-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 10 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 Order, lattices, ordered algebraic structures (06-XX) 4 Partial differential equations (35-XX) 4 General topology (54-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 5,736 Publications have been cited 39,779 times in 24,080 Documents Cited by ▼ Year ▼ Probabilistic algorithm for testing primality. 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Zbl 1114.11019 Simsek, Yilmaz 61 2005 A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Zbl 1074.11045 Mortenson, Eric 59 2003 Badly approximable systems of linear forms. Zbl 0172.06401 Schmidt, W. M. 58 1969 Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. Zbl 0334.12019 Kisilevsky, H. 57 1976 Quadratic alternating harmonic number sums. Zbl 1310.05014 Sofo, Anthony 54 2015 An explicit formula for local densities of quadratic forms. Zbl 0930.11021 Yang, Tonghai 53 1998 On Miki’s identity for Bernoulli numbers. Zbl 1073.11013 Gessel, Ira M. 52 2005 Matrices associated with classes of arithmetical functions. Zbl 0784.11002 Bourque, Keith; Ligh, Steve 52 1993 Apollonian circle packings: Number theory. Zbl 1026.11058 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 52 2003 Construction of large families of pseudorandom binary sequences. Zbl 1049.11089 Goubin, Louis; Mauduit, Christian; Sárközy, András 51 2004 New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions. Zbl 1275.11136 Yao, Olivia X. M.; Xia, Ernest X. W. 51 2013 Some congruences for Apery numbers. Zbl 0482.10003 Gessel, Ira 50 1982 Mean values of Dedekind sums. Zbl 0851.11028 Conrey, J. B.; Fransen, Eric; Klein, Robert; Scott, Clayton 49 1996 On the divisor and circle problems. Zbl 0644.10031 Iwaniec, H.; Mozzochi, C. J. 48 1988 Complete solutions to a family of cubic Diophantine equations. Zbl 0697.10011 Thomas, Emery 48 1990 Continued fraction Cantor sets, Hausdorff dimension, and functional analysis. Zbl 0745.28005 Hensley, Doug 48 1992 Uniform cyclotomy. Zbl 0475.12026 Baumert, L. D.; Mills, W. H.; Ward, Robert L. 47 1982 A relation between Bernoulli numbers. Zbl 0379.10007 Miki, Hiroo 47 1978 Modular lattices in Euclidean spaces. Zbl 0874.11038 Quebbemann, H.-G. 46 1995 A lower bound for the height in abelian extensions. Zbl 0973.11092 Amoroso, Francesco; Dvornicich, Robert 46 2000 Two closed forms for the Bernoulli polynomials. Zbl 1400.11070 Qi, Feng; Chapman, Robin J. 46 2016 Integral bases and monogenity of pure fields. Zbl 1419.11118 Gaál, István; Remete, László 46 2017 Convolution identities and lacunary recurrences for Bernoulli numbers. Zbl 1137.11014 Agoh, Takashi; Dilcher, Karl 45 2007 Identities involving Frobenius-Euler polynomials arising from non-linear differential equations. Zbl 1262.11024 Kim, Taekyun 45 2012 On the topological structure of univoque sets. Zbl 1111.11005 Komornik, Vilmos; Loreti, Paola 45 2007 An absolute bound for the size of Diophantine \(m\)-tuples. Zbl 1010.11019 Dujella, Andrej 45 2001 Generalized Legendre polynomials and related supercongruences. Zbl 1353.11005 Sun, Zhi-Hong 45 2014 A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets. Zbl 0858.11039 Hensley, Douglas 44 1996 On congruences related to central binomial coefficients. Zbl 1261.11019 Sun, Zhi-Wei 44 2011 Real quadratic fields with class numbers divisible by \(n\). Zbl 0287.12007 Weinberger, P. J. 44 1973 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 Elasticity of factorization in number fields. Zbl 0721.11043 Valenza, R. J. 44 1990 Products of polynomials in many variables. Zbl 0729.30004 Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L. 44 1990 Sequences with subword complexity \(2n\). Zbl 0804.11023 Rote, Günter 44 1994 On Artin’s conjecture. Zbl 0526.12010 Murty, M. Ram 43 1983 Note on the Euler \(q\)-zeta functions. Zbl 1221.11231 Kim, Taekyun 43 2009 The shadow theory of modular and unimodular lattices. Zbl 0917.11026 Rains, E. M.; Sloane, N. J. A. 43 1998 Solving Thue equations of high degree. Zbl 0867.11017 Bilu, Yuri; Hanrot, Guillaume 43 1996 The hyperring of adèle classes. Zbl 1221.14002 Connes, Alain; Consani, Caterina 43 2011 Exponential sums with monomials. Zbl 0687.10028 Fouvry, Etienne; Iwaniec, Henryk 42 1989 Using Stepanov’s method for exponential sums involving rational functions. Zbl 1093.11058 Cochrane, Todd; Pinner, Christopher 42 2006 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. 42 2001 Simple continued fractions for some irrational numbers. Zbl 0404.10003 Shallit, Jeffrey 42 1979 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. 42 2013 Euler sums and integrals of polylogarithm functions. Zbl 1349.11054 Xu, Ce; Yan, Yuhuan; Shi, Zhijuan 42 2016 Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013 de Weger, B. M. M. 41 1987 On the distribution of Galois groups. Zbl 1022.11058 Malle, Gunter 41 2002 Generalized modular forms. Zbl 1074.11025 Knopp, Marvin; Mason, Geoffrey 41 2003 Rank and crank moments for overpartitions. Zbl 1248.11076 Bringmann, Kathrin; Lovejoy, Jeremy; Osburn, Robert 40 2009 On maximal curves. Zbl 0914.11036 Fuhrmann, Rainer; Garcia, Arnaldo; Torres, Fernando 40 1997 Identities between modular graph forms. Zbl 1450.11062 D’Hoker, Eric; Green, Michael B. 40 2018 Some congruences for the Apéry numbers. Zbl 0571.10008 Beukers, F. 40 1985 Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027 Berndt, Bruce C.; Evans, Ronald J. 40 1979 \(\ell\)-extensions of CM-fields and cyclotomic invariants. Zbl 0455.12007 Kida, Yûji 40 1980 Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036 Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q. 40 2001 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. 39 2007 Transcendence of numbers with a low complexity expansion. Zbl 0895.11029 Ferenczi, Sébastien; Mauduit, Christian 39 1997 Note on cubics over \(GF(2^n)\) and \(GF(3^n)\). Zbl 0321.12029 Williams, Kenneth S. 39 1975 Degenerate Bernoulli polynomials, generalized factorial sums, and their applications. Zbl 1204.11053 Young, Paul Thomas 39 2008 Euclidean algorithms are Gaussian. Zbl 1114.11092 Baladi, Viviane; Vallée, Brigitte 39 2005 Applications of a recurrence for the Bernoulli numbers. Zbl 0844.11019 Howard, F. T. 38 1995 Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case. Zbl 0841.11026 Barthel, L.; Livné, R. 38 1995 Periodic points, linearizing maps, and the dynamical Mordell-Lang problem. Zbl 1186.14047 Ghioca, Dragos; Tucker, T. J. 38 2009 Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better. Zbl 0575.10032 Osgood, Charles F. 38 1985 A formula of S. Ramanujan. Zbl 0606.10032 Sitaramachandrarao, R. 38 1987 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. 38 1996 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 38 1993 Spectra of hypergraphs and applications. Zbl 0874.05041 Feng, Keqin; Li, Wen-Ch’ing Winnie 38 1996 Transcendental values of the digamma function. Zbl 1222.11097 Murty, M. Ram; Saradha, N. 37 2007 Congruences involving Bernoulli and Euler numbers. Zbl 1154.11010 Sun, Zhihong 37 2008 On the structure of the irreducible polynomials over local fields. Zbl 0838.11078 Popescu, Nicolae; Zaharescu, Alexandru 37 1995 On sums of squares and on elliptic curves over function fields. Zbl 0217.04302 Cassels, J. W. S.; Ellison, W. J.; Pfister, A. 37 1971 On Hilbert’s irreducibility theorem. Zbl 0299.12002 Fried, Michael 37 1974 Shimura curves and the abc conjecture. Zbl 07748223 Pasten, Hector 1 2024 An improved explicit estimate for \(\zeta(1/2 + it)\). Zbl 07794611 Hiary, Ghaith A.; Patel, Dhir; Yang, Andrew 1 2024 Primes between consecutive powers. Zbl 1520.11083 Cully-Hugill, Michaela 5 2023 Spectrum, algebraicity and normalization in alternate bases. Zbl 1523.11135 Charlier, Émilie; Cisternino, Célia; Masáková, Zuzana; Pelantová, Edita 3 2023 Padé approximation for a class of hypergeometric functions and parametric geometry of numbers. Zbl 1518.11055 Kawashima, Makoto; Poëls, Anthony 3 2023 Bounds on bilinear sums of Kloosterman sums. Zbl 1506.11108 Bag, Nilanjan; Shparlinski, Igor E. 3 2023 A congruence family for 2-elongated plane partitions: an application of the localization method. Zbl 1507.11094 Smoot, Nicolas Allen 3 2023 Double coset operators and eta-quotients. Zbl 07679892 Zhou, Hai-Gang; Zhu, Xiao-Jie 2 2023 On Galois groups of linearized polynomials related to the general linear group of prime degree. Zbl 07734980 Gow, Rod; McGuire, Gary 2 2023 A note on Galois representations valued in reductive groups with open image. Zbl 1507.11046 Tang, Shiang 2 2023 Counting ideals in ray classes. Zbl 1517.11141 Gun, Sanoli; Ramaré, Olivier; Sivaraman, Jyothsnaa 2 2023 Special values of \(L\)-functions on regular arithmetic schemes of dimension 1. Zbl 07635391 Morin, Adrien 2 2023 Chebyshev’s bias against splitting and principal primes in global fields. Zbl 1518.11082 Aoki, Miho; Koyama, Shin-ya 2 2023 The rational cuspidal divisor class group of \(X_0(N)\). Zbl 1523.11107 Yoo, Hwajong 2 2023 Triquadratic \(p\)-rational fields. Zbl 1509.11106 Koperecz, Julien 2 2023 A paucity problem associated with a shifted integer analogue of the divisor function. Zbl 1505.11125 Heap, Winston; Sahay, Anurag; Wooley, Trevor D. 2 2023 On \(p\)-adic Siegel Eisenstein series. Zbl 07695609 Katsurada, Hidenori; Nagaoka, Shoyu 2 2023 Numerical estimates on the Landau-Siegel zero and other related quantities. Zbl 07695616 Languasco, Alessandro 2 2023 Arithmetically equivalent number fields have approximately the same successive minima. Zbl 1525.11134 Vermeulen, Floris 1 2023 Effective rational approximation on spheres. Zbl 1526.11038 Ouaggag, Zouhair 1 2023 Congruence relations for \(r\)-colored partitions. Zbl 1520.11089 Dicks, Robert 1 2023 Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas. Zbl 1528.11070 Jing, Mengyao; Liu, Huaning 1 2023 Roots of certain polynomials over finite fields. Zbl 1525.11142 Ding, Zhiguo; Zieve, Michael E. 1 2023 Li coefficients as norms of functions in a model space. Zbl 07722269 Suzuki, Masatoshi 1 2023 Secondary terms in the asymptotics of moments of \(L\)-functions. Zbl 1527.11067 Diaconu, Adrian; Twiss, Henry 1 2023 Twisted Ruelle zeta function at zero for compact hyperbolic surfaces. Zbl 1511.11074 Frahm, Jan; Spilioti, Polyxeni 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 Exceptional poles of local \(L\)-functions for \(\mathrm{GSp}(4)\) with respect to split Bessel models. Zbl 1525.11054 Weissauer, Rainer 1 2023 Small doubling in cyclic groups. Zbl 1512.11072 Lev, Vsevolod F. 1 2023 Continued fractions over non-Euclidean imaginary quadratic rings. Zbl 1510.11024 Martin, Daniel E. 1 2023 On the connected components of Shimura varieties for CM unitary groups in odd variables. Zbl 1515.11061 Oki, Yasuhiro 1 2023 Factorization of coefficients for exponential and logarithm in function fields. Zbl 1515.11055 Chung, Kwun 1 2023 Algebraic construction of Weyl invariant \(E_8\) Jacobi forms. Zbl 1514.11029 Sakai, Kazuhiro 1 2023 Optimality of two inequalities for exponents of Diophantine approximation. Zbl 1519.11040 Schleischitz, Johannes 1 2023 Galois representations with big image in the general symplectic group \(\mathrm{GSp}_4( \mathbb{Z}_p)\). Zbl 1517.11056 Maletto, Simone 1 2023 Euler’s factorial series, Hardy integral, and continued fractions. Zbl 1514.11043 Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna 1 2023 BBP-type formulas – an elementary approach. Zbl 1509.11070 Kristensen, Simon; Mathiasen, Oskar 1 2023 A note on hyperelliptic curves with ordinary reduction over 2-adic fields. Zbl 1525.11068 Dokchitser, Vladimir; Morgan, Adam 1 2023 Infinite families of isogeny-torsion graphs. Zbl 1525.11061 Chiloyan, Garen 1 2023 Spectral zeta function on discrete tori and Epstein-Riemann hypothesis. Zbl 1517.11028 Meiners, Alexander; Vertman, Boris 1 2023 Approximations of the balanced triple product \(p\)-adic \(L\)-function. Zbl 1512.11048 Dall’Ava, Luca 1 2023 Distributions of hook lengths divisible by two or three. Zbl 1518.11069 Lang, Hannah; Wan, Hamilton; Xu, Nancy 1 2023 On Gauss factorials and their connection to the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields. Zbl 1519.11062 Stokes, Matt 1 2023 Constant root number on integer fibres of elliptic surfaces. Zbl 1516.14072 Chu, Rena; Desjardins, Julie 1 2023 Good elliptic curves with a specified torsion subgroup. Zbl 1505.11085 Barrios, Alexander J. 1 2023 Classification of all Galois subcovers of the Skabelund maximal curves. Zbl 1508.14030 Beelen, Peter; Landi, Leonardo; Montanucci, Maria 1 2023 Underapproximation by Egyptian fractions. Zbl 1522.11022 Nathanson, Melvyn B. 1 2023 On genus one curves violating the local-global principle. Zbl 1496.14030 Wu, Han 1 2023 The Sato-Tate conjecture and Nagao’s conjecture. Zbl 07595061 Kim, Seoyoung 1 2023 Fields of definition of \(K3\) surfaces with complex multiplication. Zbl 1507.14056 Valloni, Domenico 1 2023 On the Glasner property for matrices with polynomial entries. Zbl 1518.11054 Shparlinski, Igor E. 1 2023 Fekete polynomials, quadratic residues, and arithmetic. Zbl 1498.11090 Mináč, Ján; Tung T. Nguyen; Nguyêñ Duy Tân 1 2023 Sets arising as minimal additive complements in the integers. Zbl 1523.11014 Burcroff, Amanda; Luntzlara, Noah 1 2023 On a sum involving small arithmetic function and the integral part function. Zbl 1516.11093 Li, Jiamin; Ma, Jing 1 2023 A general class of Schmidt theorems. Zbl 1510.05012 Andrews, George; Keith, William 1 2023 A unified strategy to compute some special functions of number-theoretic interest. Zbl 07662018 Languasco, Alessandro 1 2023 On the \(p\)-rationality of consecutive quadratic fields. Zbl 1526.11061 Chattopadhyay, Jaitra; Laxmi, H.; Saikia, Anupam 1 2023 Linear independence of even periods of modular forms. Zbl 07672968 Lei, Austin; Ni, Tianyu; Xue, Hui 1 2023 Irreducible polynomials in quadratic semigroups. Zbl 1515.37109 Hindes, Wade; Jacobs, Reiyah; Ye, Peter 1 2023 Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions. Zbl 1511.05013 Jackson, Faye; Otgonbayar, Misheel 1 2023 Generalizations of Sturmian sequences associated with \(\boldsymbol{N}\)-continued fraction algorithms. Zbl 07691009 Langeveld, Niels; Rossi, Lucía; Thuswaldner, Jörg M. 1 2023 Asymptotic Fermat for signature \((4, 2, p)\) over number fields. Zbl 07691011 Villagra Torcomian, Lucas 1 2023 The local-global principle for divisibility in CM elliptic curves. Zbl 07691012 Creutz, Brendan; Lu, Sheng (Victor) 1 2023 Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families. Zbl 1528.11115 Kim, Chan-Ho; Longo, Matteo 1 2023 On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields. Zbl 1525.11080 Kim, Taehyeong; Lim, Seonhee; Paulin, Frédéric 1 2023 Prime divisors of \(\ell\)-Genocchi numbers and the ubiquity of Ramanujan-style congruences of level \(\ell\). Zbl 1516.11008 Moree, Pieter; Sgobba, Pietro 1 2023 MacMahon’s partition analysis XIII: Schmidt type partitions and modular forms. Zbl 1484.11201 Andrews, George E.; Paule, Peter 15 2022 Notes on isocrystals. Zbl 1502.14051 Kedlaya, Kiran S. 10 2022 The fractional sum of small arithmetic functions. Zbl 1508.11082 Stucky, Joshua 10 2022 On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\). Zbl 1494.11084 El Fadil, Lhoussain 9 2022 Parity of the coefficients of certain eta-quotients. Zbl 1491.11096 Keith, William J.; Zanello, Fabrizio 7 2022 On explicit estimates for \(S(t)\), \(S_1(t)\), and \(\zeta ( 1 / 2 + \operatorname{i} t )\) under the Riemann hypothesis. Zbl 1489.11124 Simonič, Aleksander 6 2022 Variations of Lehmer’s conjecture for Ramanujan’s tau-function. Zbl 1497.11080 Balakrishnan, Jennifer S.; Craig, William; Ono, Ken 6 2022 Counting zeros of the Riemann zeta function. Zbl 1497.11202 Hasanalizade, Elchin; Shen, Quanli; Wong, Peng-Jie 6 2022 Uniform effective estimates for \(|L (1, \chi)|\). Zbl 1498.11183 Languasco, Alessandro; Trudgian, Timothy S. 6 2022 Drinfeld cusp forms: oldforms and newforms. Zbl 1493.11089 Bandini, Andrea; Valentino, Maria 5 2022 General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares. Zbl 1497.11113 Xu, Chenran 5 2022 Theta correspondence for almost unramified representations of unitary groups. Zbl 1484.11116 Liu, Yifeng 5 2022 On Drinfeld modular forms of higher rank II. Zbl 1485.11090 Gekeler, Ernst-Ulrich 4 2022 Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields. Zbl 1489.11059 Rapinchuk, Andrei S.; Rapinchuk, Igor A. 4 2022 Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields. Zbl 1493.12009 Minamide, Arata; Tsujimura, Shota 4 2022 One-level density of the family of twists of an elliptic curve over function fields. Zbl 07575694 Comeau-Lapointe, Antoine 4 2022 The even parity Goldfeld conjecture: congruent number elliptic curves. Zbl 1484.11131 Burungale, Ashay; Tian, Ye 4 2022 Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction. Zbl 1483.11125 Betts, L. Alexander 3 2022 Abelian capitulation of ray class groups. (Capitulation abélienne des groupes de classes de rayons.) Zbl 1485.11158 Jaulent, Jean-François 3 2022 On Drinfeld modular forms of higher rank IV: modular forms with level. Zbl 1492.11097 Gekeler, Ernst-Ulrich 3 2022 Finding endomorphisms of Drinfeld modules. Zbl 1485.11102 Kuhn, Nikolas; Pink, Richard 3 2022 Periods of \(t\)-modules as special values. Zbl 1495.11090 Maurischat, Andreas 3 2022 Equivariant special \(L\)-values of abelian \(t\)-modules. Zbl 1489.11089 Fang, Jiangxue 3 2022 On twisted \(A\)-harmonic sums and Carlitz finite zeta values. Zbl 1495.11109 Pellarin, F.; Perkins, R. 3 2022 Ergodic functions over \(Z_p\). Zbl 1484.37122 Jeong, Sangtae 3 2022 Real quadratic fields admitting universal lattices of rank 7. Zbl 1487.11037 Kim, Byeong Moon; Kim, Myung-Hwan; Park, Dayoon 3 2022 \(p\)-adic heights and Vologodsky integration. Zbl 07538066 Besser, Amnon 3 2022 On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\). Zbl 1498.11106 Adédji, Kouèssi Norbert; Luca, Florian; Togbé, Alain 3 2022 Minimal universality criterion sets on the representations of binary quadratic forms. Zbl 1506.11051 Kim, Kyoungmin; Lee, Jeongwon; Oh, Byeong-Kweon 3 2022 The mean square of the error term in the prime number theorem. Zbl 1508.11094 Brent, Richard P.; Platt, David J.; Trudgian, Timothy S. 3 2022 Mean value formulas on sublattices and flags of the random lattice. Zbl 1506.11098 Kim, Seungki 3 2022 Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori). Zbl 1507.11104 Kadiri, Habiba; Wong, Peng-Jie 3 2022 Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function. Zbl 1492.11139 Essouabri, Driss; Salinas Zavala, Christoper; Tóth, László 3 2022 ...and 1280 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 14,411 Authors 169 Luca, Florian 155 Shparlinski, Igor E. 125 Kim, Taekyun 87 Chen, Yonggao 83 Zaharescu, Alexandru 79 Zhang, Wenpeng 77 Simsek, Yilmaz 77 Sun, Zhi-Wei 73 Guo, Victor J. W. 72 Togbé, Alain 69 Dubickas, Artūras 67 Murty, Maruti Ram 65 Bugeaud, Yann 63 Kim, Dae San 59 Hong, Shaofang 57 Komatsu, Takao 55 Merca, Mircea 54 Qi, Feng 52 Srivastava, Hari Mohan 51 Moree, Pieter 51 Pollack, Paul 47 Shkredov, Il’ya Dmitrievich 46 Gao, Weidong 46 Xia, Ernest X. W. 45 Azizi, Abdelmalek 45 Ichimura, Humio 45 Pan, Hao 44 Xu, Ce 44 Zhai, Wenguang 43 Barman, Rupam 43 Louboutin, Stéphane R. 43 Miller, Steven J. 41 Pomerance, Carl Bernard 40 Dujella, Andrej 40 Geroldinger, Alfred 40 Kim, Minsoo 39 Laurinčikas, Antanas 39 Ono, Ken 39 Sun, Zhihong 38 Hajdu, Lajos 37 Mauduit, Christian 37 Tenenbaum, Gérald 36 Bringmann, Kathrin 36 Lalín, Matilde Noemí 35 Bennett, Michael A. 35 Kim, Chang Heon 35 Lu, Guangshi 35 Ryoo, Cheon Seoung 35 Sárközy, András 35 Yao, Olivia Xiang Mei 35 Ziegler, Volker 34 Alkan, Emre 34 Bayad, Abdelmejid 34 Grynkiewicz, David J. 34 Pethő, Attila 33 Araci, Serkan 33 Gaál, István 33 Ghioca, Dragos 33 Lei, Antonio 33 Mignotte, Maurice 33 Pohst, Michael E. 32 Hu, Su 32 Larchner, Gerhard 32 Nathanson, Melvyn Bernard 32 Nebe, Gabriele 32 Wu, Jie 31 Le, Maohua 31 Sanna, Carlo 31 Zudilin, Wadim 30 Kim, Daeyeoul 30 Lee, Yoonjin 30 Matsumoto, Kohji 30 Oh, Byeong-Kweon 30 Sofo, Anthony 30 Williams, Kenneth S. 30 Yuan, Pingzhi 29 Allouche, Jean-Paul Simon 29 Ivić, Aleksandar 29 Liu, Huaning 29 Mollin, Richard Anthony 29 Rosales, José Carlos 29 Sha, Min 28 Baruah, Nayandeep Deka 28 Cilleruelo, Javier 28 Jang, Lee-Chae 28 Mao, Guo-Shuai 28 Niederreiter, Harald 28 Solé, Patrick 28 Zannier, Umberto M. 28 Zekhnini, Abdelkader 27 Berndt, Bruce Carl 27 Choi, Soyoung 27 Schmid, Wolfgang Alexander 27 Shallit, Jeffrey Outlaw 27 Thakur, Dinesh S. 27 Zhao, Liangyi 26 Blomer, Valentin 26 Choie, YoungJu 26 Cochrane, Todd 26 Eie, Minking ...and 14,311 more Authors all top 5 Cited in 769 Journals 3,443 Journal of Number Theory 1,022 International Journal of Number Theory 698 The Ramanujan Journal 547 Proceedings of the American Mathematical Society 475 Journal de Théorie des Nombres de Bordeaux 445 Mathematics of Computation 419 Transactions of the American Mathematical Society 375 Acta Arithmetica 375 Finite Fields and their Applications 370 Journal of Algebra 309 Monatshefte für Mathematik 304 Discrete Mathematics 289 Mathematische Zeitschrift 275 Journal of Mathematical Analysis and Applications 263 Advances in Mathematics 258 Bulletin of the Australian Mathematical Society 243 Research in Number Theory 241 Mathematische Annalen 222 Manuscripta Mathematica 221 Archiv der Mathematik 217 Functiones et Approximatio. 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Second Series 42 Expositiones Mathematicae ...and 669 more Journals all top 5 Cited in 62 Fields 20,073 Number theory (11-XX) 2,541 Algebraic geometry (14-XX) 2,492 Combinatorics (05-XX) 1,337 Group theory and generalizations (20-XX) 1,185 Special functions (33-XX) 848 Field theory and polynomials (12-XX) 816 Dynamical systems and ergodic theory (37-XX) 658 Commutative algebra (13-XX) 622 Computer science (68-XX) 621 Information and communication theory, circuits (94-XX) 521 Topological groups, Lie groups (22-XX) 431 Functions of a complex variable (30-XX) 393 Associative rings and algebras (16-XX) 375 Measure and integration (28-XX) 361 Quantum theory (81-XX) 359 Linear and multilinear algebra; matrix theory (15-XX) 341 Numerical analysis (65-XX) 329 Probability theory and stochastic processes (60-XX) 310 Convex and discrete geometry (52-XX) 280 Real functions (26-XX) 253 Harmonic analysis on Euclidean spaces (42-XX) 222 Approximations and expansions (41-XX) 185 \(K\)-theory (19-XX) 174 Several complex variables and analytic spaces (32-XX) 170 Functional analysis (46-XX) 161 Sequences, series, summability (40-XX) 152 Mathematical logic and foundations (03-XX) 129 Nonassociative rings and algebras (17-XX) 120 Geometry (51-XX) 116 Manifolds and cell complexes (57-XX) 108 Global analysis, analysis on manifolds (58-XX) 106 Ordinary differential equations (34-XX) 105 Difference and functional equations (39-XX) 102 Operator theory (47-XX) 84 Relativity and gravitational theory (83-XX) 81 Partial differential equations (35-XX) 79 Differential geometry (53-XX) 75 Statistical mechanics, structure of matter (82-XX) 71 History and biography (01-XX) 68 Order, lattices, ordered algebraic structures (06-XX) 67 Category theory; homological algebra (18-XX) 64 Operations research, mathematical programming (90-XX) 60 Algebraic topology (55-XX) 57 Statistics (62-XX) 56 Abstract harmonic analysis (43-XX) 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 General and overarching topics; collections (00-XX) 39 Integral transforms, operational calculus (44-XX) 37 General topology (54-XX) 17 Potential theory (31-XX) 17 Mechanics of deformable solids (74-XX) 16 Mechanics of particles and systems (70-XX) 16 Biology and other natural sciences (92-XX) 15 Mathematics education (97-XX) 14 Integral equations (45-XX) 13 Systems theory; control (93-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 General algebraic systems (08-XX) 7 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Classical thermodynamics, heat transfer (80-XX) Citations by Year