International Journal of Number Theory Short Title: Int. J. Number Theory Publisher: World Scientific, Singapore ISSN: 1793-0421; 1793-7310/e Online: https://www.worldscientific.com/loi/ijnt Comments: Journal; Indexed cover-to-cover Documents Indexed: 2,199 Publications (since 2005) References Indexed: 2,194 Publications with 34,756 References. all top 5 Latest Issues 20, No. 8 (2024) 20, No. 7 (2024) 20, No. 6 (2024) 20, No. 5 (2024) 20, No. 4 (2024) 20, No. 3 (2024) 20, No. 2 (2024) 20, No. 1 (2024) 19, No. 10 (2023) 19, No. 9 (2023) 19, No. 8 (2023) 19, No. 7 (2023) 19, No. 6 (2023) 19, No. 5 (2023) 19, No. 4 (2023) 19, No. 3 (2023) 19, No. 2 (2023) 19, No. 1 (2023) 18, No. 10 (2022) 18, No. 9 (2022) 18, No. 8 (2022) 18, No. 7 (2022) 18, No. 6 (2022) 18, No. 5 (2022) 18, No. 4 (2022) 18, No. 3 (2022) 18, No. 2 (2022) 18, No. 1 (2022) 17, No. 10 (2021) 17, No. 9 (2021) 17, No. 8 (2021) 17, No. 7 (2021) 17, No. 6 (2021) 17, No. 5 (2021) 17, No. 4 (2021) 17, No. 3 (2021) 17, No. 2 (2021) 17, No. 1 (2021) 16, No. 10 (2020) 16, No. 9 (2020) 16, No. 8 (2020) 16, No. 7 (2020) 16, No. 6 (2020) 16, No. 5 (2020) 16, No. 4 (2020) 16, No. 3 (2020) 16, No. 2 (2020) 16, No. 1 (2020) 15, No. 10 (2019) 15, No. 9 (2019) 15, No. 8 (2019) 15, No. 7 (2019) 15, No. 6 (2019) 15, No. 5 (2019) 15, No. 4 (2019) 15, No. 3 (2019) 15, No. 2 (2019) 15, No. 1 (2019) 14, No. 10 (2018) 14, No. 9 (2018) 14, No. 8 (2018) 14, No. 7 (2018) 14, No. 6 (2018) 14, No. 5 (2018) 14, No. 4 (2018) 14, No. 3 (2018) 14, No. 2 (2018) 14, No. 1 (2018) 13, No. 10 (2017) 13, No. 9 (2017) 13, No. 8 (2017) 13, No. 7 (2017) 13, No. 6 (2017) 13, No. 5 (2017) 13, No. 4 (2017) 13, No. 3 (2017) 13, No. 2 (2017) 13, No. 1 (2017) 12, No. 8 (2016) 12, No. 7 (2016) 12, No. 6 (2016) 12, No. 5 (2016) 12, No. 4 (2016) 12, No. 3 (2016) 12, No. 2 (2016) 12, No. 1 (2016) 11, No. 8 (2015) 11, No. 7 (2015) 11, No. 6 (2015) 11, No. 5 (2015) 11, No. 4 (2015) 11, No. 3 (2015) 11, No. 2 (2015) 11, No. 1 (2015) 10, No. 8 (2014) 10, No. 7 (2014) 10, No. 6 (2014) 10, No. 5 (2014) 10, No. 4 (2014) 10, No. 3 (2014) ...and 58 more Volumes all top 5 Authors 31 Luca, Florian 15 Sun, Zhihong 15 Williams, Kenneth S. 14 Girstmair, Kurt 13 Murty, Maruti Ram 13 Xia, Ernest X. W. 12 Alaca, Ayşe 12 Alaca, Şaban 11 Baruah, Nayandeep Deka 11 Guo, Victor J. W. 11 Shparlinski, Igor E. 11 Zaharescu, Alexandru 10 Sun, Zhi-Wei 9 Chan, Tsz Ho 9 Choudhry, Ajai 9 Kim, Byungchan 9 Laishram, Shanta 9 Ulas, Maciej 8 Bremner, Andrew 8 Chen, Yonggao 8 Yao, Olivia Xiang Mei 7 Baier, Stephan 7 Barman, Rupam 7 Eie, Minking 7 Kohnen, Winfried 7 Li, Jinjiang 7 Sanna, Carlo 7 Vignat, Christophe 7 Walling, Lynne Heather 7 Zhai, Wenguang 6 Alkan, Emre 6 Andrews, George Eyre 6 Baoulina, Ioulia N. 6 Berndt, Bruce Carl 6 Cai, Tianxin 6 Chen, Shichao 6 Chern, Shane 6 Cooper, Shaun 6 Dilcher, Karl 6 Liu, Zhi-Guo 6 Liu, Zhixin 6 Lovejoy, Jeremy 6 Moll, Victor Hugo 6 Pollack, Paul 6 Ramakrishnan, Balakrishnan 6 Rouse, Jeremy A. 6 Sellers, James Allen 6 Skałba, Mariusz 6 Wang, Liuquan 6 Ye, Dongxi 6 Zhang, Min 5 Azizi, Abdelmalek 5 Bennett, Michael A. 5 Bugeaud, Yann 5 Cui, Su-Ping 5 Dubickas, Artūras 5 Gu, Nancy Shan Shan 5 Harrington, Joshua 5 Haynes, Alan K. 5 Khanduja, Sudesh K. 5 Liaw, Wen-Chin 5 Lim, Meng Fai 5 Liu, Huaning 5 Lu, Guangshi 5 Maji, Bibekananda 5 Mayer, Daniel C. 5 Murty, Vijaya Kumar 5 Nathanson, Melvyn Bernard 5 Nebe, Gabriele 5 Oh, Byeong-Kweon 5 Ong, Yaolin 5 Perucca, Antonella 5 Saad Eddin, Sumaia 5 Sahu, Brundaban 5 Saradha, N. 5 Tang, Dazhao 5 Togbé, Alain 5 Väänänen, Keijo O. 5 Vulakh, L. Ya. 5 Wu, Jie 5 Zhao, Liangyi 5 Ziegler, Volker 4 Akbary, Amir 4 Ash, Avner 4 Banks, William David 4 Bordellès, Olivier 4 Bringmann, Kathrin 4 Bundschuh, Peter 4 Chu, Wenchang 4 Dai, Haobo 4 Filaseta, Michael A. 4 Flicker, Yuval Z. 4 Fu, Ruiqin 4 Gómez, Carlos Alexis 4 Gun, Sanoli 4 Hamahata, Yoshinori 4 Hassen, Abdul 4 Heim, Bernhard Ernst 4 Hong, Shaofang 4 Jiang, Xing-Wang ...and 2,260 more Authors all top 5 Fields 2,153 Number theory (11-XX) 225 Combinatorics (05-XX) 158 Algebraic geometry (14-XX) 144 Special functions (33-XX) 68 Group theory and generalizations (20-XX) 48 Field theory and polynomials (12-XX) 39 Dynamical systems and ergodic theory (37-XX) 32 Functions of a complex variable (30-XX) 30 Topological groups, Lie groups (22-XX) 25 Commutative algebra (13-XX) 17 Measure and integration (28-XX) 13 Approximations and expansions (41-XX) 11 Associative rings and algebras (16-XX) 11 Real functions (26-XX) 11 Information and communication theory, circuits (94-XX) 10 \(K\)-theory (19-XX) 10 Convex and discrete geometry (52-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Nonassociative rings and algebras (17-XX) 8 Sequences, series, summability (40-XX) 8 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 5 Ordinary differential equations (34-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,585 Publications have been cited 8,307 times in 6,091 Documents Cited by ▼ Year ▼ More on the sum-product phenomenon in prime fields and its applications. Zbl 1173.11310 Bourgain, J. 121 2005 Ramanujan’s cubic continued fraction and an analog of his ”most beautiful identity”. Zbl 1203.05008 Chan, Hei-Chi 85 2010 Ramanujan’s cubic continued fraction and Ramanujan type congruences for a certain partition function. Zbl 1205.11111 Chan, Hei-Chi 48 2010 Singular overpartitions. Zbl 1325.11107 Andrews, George E. 47 2015 Wolstenholme type theorem for multiple harmonic sums. Zbl 1218.11005 Zhao, Jianqiang 46 2008 The quintuple product identity. Zbl 1159.33300 Cooper, Shaun 42 2006 Power integral bases for certain pure sextic fields. Zbl 1316.11094 Ahmad, Shahzad; Nakahara, Toru; Husnine, Syed Muhammad 41 2014 Evaluating convolution sums of the divisor function by quasimodular forms. Zbl 1142.11027 Royer, Emmanuel 40 2007 Vector-valued modular forms and linear differential operators. Zbl 1197.11054 Mason, Geoffrey 40 2007 Congruences for Andrews’ smallest parts partition function and new congruences for Dyson’s rank. Zbl 1219.11153 Garvan, F. G. 40 2010 On some new congruences for binomial coefficients. Zbl 1247.11027 Sun, Zhiwei; Tauraso, Roberto 39 2011 Arithmetic of \(l\)-regular partition functions. Zbl 1221.11208 Penniston, David 38 2008 Arithmetic properties of Andrews’ singular overpartitions. Zbl 1320.05010 Chen, Shi-Chao; Hirschhorn, Michael D.; Sellers, James A. 37 2015 Iwasawa theory and \(p\)-adic \(L\)-functions over \(\mathbb{Z}_p^2\)-extensions. Zbl 1314.11066 Loeffler, David; Zerbes, Sarah Livia 36 2014 Congruence properties modulo 5 and 7 for the pod function. Zbl 1246.11168 Radu, Silviu; Sellers, James A. 36 2011 The first negative Hecke eigenvalue. Zbl 1219.11066 Iwaniec, H.; Kohnen, W.; Sengupta, J. 35 2007 Rank and congruences for overpartition pairs. Zbl 1221.11206 Bringmann, Kathrin; Lovejoy, Jeremy 33 2008 The Diophantine equation \(A^4 + 2^{\delta }B^2 = C^n\). Zbl 1218.11035 Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C. 33 2010 On the \(q\)-derivative and \(q\)-series expansions. Zbl 1284.05040 Liu, Zhi-Guo 32 2013 Some families of permutation polynomials over finite fields. Zbl 1204.11180 Zieve, Michael E. 32 2008 \(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. Zbl 1423.11043 Gorodetsky, Ofir 32 2019 The convolution sum \(\sum_{m<n/9}\sigma(m)\sigma(n-9m)\). Zbl 1082.11003 Williams, Kenneth S. 31 2005 On multiple zeta values of even arguments. Zbl 1416.11132 Hoffman, Michael E. 30 2017 Hypergeometric Bernoulli polynomials and Appell sequences. Zbl 1204.11049 Hassen, Abdul; Nguyen, Hieu D. 29 2008 A \(q\)-analogue of the (A.2) supercongruence of Van Hamme for any prime \(p\equiv 3(\mathrm{mod}4)\). Zbl 1469.11006 Wang, Xiaoxia; Yue, Mingbing 29 2020 Extending Gaussian hypergeometric series to the \(p\)-adic setting. Zbl 1253.33024 McCarthy, Dermot 29 2012 Congruences satisfied by Apéry-like numbers. Zbl 1303.11009 Chan, Heng Huat; Cooper, Shaun; Sica, Francesco 28 2010 On a conjectured \(q\)-congruence of Guo and Zeng. Zbl 1428.11041 Ni, He-Xia; Pan, Hao 28 2018 Thirty-two Goldbach variations. Zbl 1094.11031 Borwein, Jonathan M.; Bradley, David M. 28 2006 New congruences for Andrews’ singular overpartitions. Zbl 1391.11143 Ahmed, Zakir; Baruah, Nayandeep Deka 27 2015 Evaluation of the convolution sums \(\sum_{l+15m=n}\sigma (l)\sigma (m)\) and \(\sum_{3l+5m=n}\sigma (l)\sigma (m)\) and an application. Zbl 1273.11012 Ramakrishnan, B.; Sahu, Brundaban 27 2013 Hypergeometric zeta functions. Zbl 1245.11098 Hassen, Abdul; Nguyen, Hieu D. 26 2010 A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309 Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun 26 2005 Certain values of Gaussian hypergeometric series and a family of algebraic curves. Zbl 1266.11076 Barman, Rupam; Kalita, Gautam 26 2012 Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052 Hong, Shaofang; Loewy, Raphael 25 2011 Characterization of primes dividing the index of a trinomial. Zbl 1431.11116 Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj 24 2017 Arithmetic properties of \(l\)-regular overpartitions. Zbl 1337.05010 Shen, Erin Y. Y. 24 2016 A polynomial analogue to the Stern sequence. Zbl 1117.11017 Dilcher, Karl; Stolarsky, Kenneth B. 24 2007 Infinite series with harmonic numbers and central binomial coefficients. Zbl 1191.05014 Chu, Wenchang; Zheng, Deyin 24 2009 On the largest prime factor of the \(k\)-Fibonacci numbers. Zbl 1292.11034 Bravo, Jhon J.; Luca, Florian 22 2013 On the maximal length of consecutive zero digits of \(\beta\)-expansions. Zbl 1337.11053 Tong, Xin; Yu, Yueli; Zhao, Yanfen 22 2016 On the beta-expansion of 1 in the formal power series field. (Sur le bêta-développement de 1 dans le corps des séries formelles.) Zbl 1157.11004 Hbaib, M.; Mkaouar, M. 22 2006 Hypergeometric functions over finite fields and their relations to algebraic curves. Zbl 1287.11138 Vega, M. Valentina 22 2011 Weighted partition rank and Crank moments. III. A list of Andrews-Beck type congruences modulo \(5, 7, 11\) and \(13\). Zbl 1491.11095 Chern, Shane 22 2022 Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018 Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael 21 2008 Arithmetic identities and congruences for partition triples with 3-cores. Zbl 1346.11058 Wang, Liuquan 21 2016 Polynomial root separation. Zbl 1205.11032 Bugeaud, Yann; Mignotte, Maurice 21 2010 The Burgess inequality and the least \(k\)th power non-residue. Zbl 1377.11091 Treviño, Enrique 20 2015 The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200 Andrews, George Eyre 20 2021 Generalized Fermat equations: a miscellany. Zbl 1390.11065 Bennett, Michael A.; Chen, Imin; Dahmen, Sander R.; Yazdani, Soroosh 20 2015 On some combinatorial identities and harmonic sums. Zbl 1376.11065 Batir, Necdet 20 2017 On monogenity of certain pure number fields defined by \(x^{p^r}-m\). Zbl 1483.11236 Ben Yakkou, Hamid; El Fadil, Lhoussain 20 2021 Torsion points on elliptic curves with complex multiplication (With an appendix by Alex Rice). Zbl 1272.11075 Clark, Pete L.; Cook, Brian; Stankewicz, James 20 2013 Hypergeometric Cauchy numbers. Zbl 1301.11030 Komatsu, Takao 20 2013 A survey of Ramanujan expansions. Zbl 1222.11003 Lucht, Lutz G. 20 2010 Vector-valued modular forms and the modular orbifold of elliptic curves. Zbl 1419.11076 Candelori, Luca; Franc, Cameron 19 2017 Theta functions identities and representations by certain quaternary quadratic forms. Zbl 1163.11029 Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S. 19 2008 2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014 Ono, Ken; Taguchi, Yuichiro 19 2005 Vanishing coefficients in some \(q\)-series expansions. Zbl 1459.11117 Tang, Dazhao 19 2019 Evaluation of the convolution sums\(\sum_{l+20m=n} \sigma(l)\sigma(m)\), \(\sum_{4l+5m=n} \sigma(l)\sigma(m)\) and \(\sum_{2l+5m=n} \sigma(l)\sigma(m)\). Zbl 1318.11002 Cooper, Shaun; Ye, Dongxi 19 2014 Proof of a \(q\)-congruence conjectured by Tauraso. Zbl 1467.11027 Guo, Victor J. W. 19 2019 Generalized harmonic numbers and Euler sums. Zbl 1398.11115 Chen, Kwang-Wu 19 2017 Some congruences deducible from Ramanujan’s cubic continued fraction. Zbl 1231.11009 Baruah, Nayandeep Deka; Ojah, Kanan Kumari 19 2011 On the Diophantine equation \(x^2+2^a\cdot 5^b=y^n\). Zbl 1231.11041 Luca, Florian; Togbé, Alain 19 2008 Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038 Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich 19 2009 Watt’s mean value theorem and Carmichael numbers. Zbl 1221.11194 Harman, Glyn 18 2008 On cubic equations over \(p\)-adic fields. Zbl 1307.11124 Mukhamedov, Farrukh; Omirov, Bakhrom; Saburov, Mansoor 18 2014 Dwork’s congruences for the constant terms of powers of a Laurent polynomial. Zbl 1408.11114 Mellit, Anton; Vlasenko, Masha 18 2016 A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078 McCarthy, Dermot; Papanikolas, Matthew A. 18 2015 A proof of Keith’s conjecture for \(9\)-regular partitions modulo \(3\). Zbl 1286.11169 Xia, Ernest X. W.; Yao, Olivia X. M. 18 2014 Zeros of weakly holomorphic modular forms of level \(4\). Zbl 1286.11053 Haddock, Andrew; Jenkins, Paul 18 2014 On a kind of duality of multiple zeta-star values. Zbl 1221.11184 Kaneko, Masanobu; Ohno, Yasuo 18 2010 Another generalization of Menon’s identity. Zbl 1392.11004 Zhao, Xiao-Peng; Cao, Zhen-Fu 17 2017 Arithmetic traces of non-holomorphic modular invariants. Zbl 1245.11061 Miller, Alison; Pixton, Aaron 17 2010 On a variant of Pillai’s problem. Zbl 1433.11035 Chim, Kwok Chi; Pink, István; Ziegler, Volker 17 2017 A theorem on seven-colored overpartitions and its applications. Zbl 1087.11063 Lovejoy, Jeremy 17 2005 Evaluation of the convolution sum \(\sum_{i+25j=n} {\sigma}(i){\sigma}(j)\). Zbl 1318.11005 Xia, Ernest X. W.; Tian, X. L.; Yao, Olivia X. M. 17 2014 Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018 Bayad, Abdelmejid; Beck, Matthias 17 2014 Explicit evaluation of quadratic Euler sums. Zbl 1416.11131 Xu, Ce; Yang, Yingyue; Zhang, Jianwen 17 2017 Special values of the polygamma functions. Zbl 1189.11039 Murty, M. Ram; Saradha, N. 17 2009 Density of two squares of primes and powers of 2. Zbl 1237.11042 Liu, Zhixin; Lü, Guangshi 17 2011 Problems in additive number theory. IV: Nets in groups and shortest length \(g\)-adic representations. Zbl 1252.11007 Nathanson, Melvyn B. 17 2011 Fourier series of a class of eta quotients. Zbl 1252.11043 Williams, Kenneth S. 17 2012 New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028 Guo, Victor J. W.; Zeng, Jiang 17 2012 A ternary Diophantine inequality involving primes. Zbl 1422.11209 Cai, Yingchun 17 2018 The number of representations of a positive integer by certain quaternary quadratic forms. Zbl 1221.11097 Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S. 16 2009 Eichler orders, trees and representation fields. Zbl 1306.11094 Arenas-Carmona, Luis 16 2013 The 3-adic eigencurve at the boundary of weight space. Zbl 1311.11030 Roe, David 16 2014 A \(q\)-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037 Guo, Victor J. W. 16 2019 On power basis of a class of algebraic number fields. Zbl 1357.11106 Jhorar, Bablesh; Khanduja, Sudesh K. 16 2016 New Ramanujan type congruence modulo 7 for 4-colored generalized Frobenius partitions. Zbl 1285.05011 Lin, Bernard L. S. 16 2014 Weber’s class number problem in the cyclotomic \(\mathbb Z_{2}\)-extension of \(\mathbb Q\). III. Zbl 1226.11119 Fukuda, Takashi; Komatsu, Keiichi 16 2011 Congruences related to modular forms. Zbl 1209.11047 Verrill, H. A. 16 2010 Gauss summation and Ramanujan-type series for \(1/\pi\). Zbl 1241.33005 Liu, Zhi-Guo 16 2012 A further \(q\)-analogue of Van Hamme’s (H.2) supercongruence for primes \(p\equiv 3 \pmod 4\). Zbl 1478.33009 Guo, Victor J. W. 16 2021 The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments. Zbl 1337.11065 Pasten, Hector 16 2015 Eventually stable rational functions. Zbl 1391.37072 Jones, Rafe; Levy, Alon 15 2017 Menon-type identities concerning Dirichlet characters. Zbl 1421.11010 Tóth, László 15 2018 Identities of the Rogers-Ramanujan-Slater type. Zbl 1148.33013 Sills, Andrew V. 15 2007 Squares: additive questions and partitions. Zbl 1334.11080 Vaughan, Robert C. 15 2015 New and simple proofs of Ramanujan’s modular equations of degree 11. Zbl 07785381 Vasuki, K. R.; Yathirajsharma, M. V. 1 2024 On the \(j\)th smallest modulus of a covering system with distinct moduli. Zbl 07819761 Klein, Jonah; Koukoulopoulos, Dimitris; Lemieux, Simon 1 2024 On the error term in the explicit formula of Riemann-von Mangoldt. Zbl 1531.11086 Cully-Hugill, Michaela; Johnston, Daniel R. 7 2023 Proofs of two conjectural Andrews-Beck type congruences due to Lin, Peng and Toh. Zbl 1526.11058 Du, Julia Q. D.; Tang, Dazhao 5 2023 Product of three primes in large arithmetic progressions. Zbl 1516.11089 Balasubramanian, Ramachandran; Ramaré, Olivier; Srivastav, Priyamvad 4 2023 Unramified extensions of quadratic number fields with certain perfect Galois groups. Zbl 1514.12002 König, Joachim 3 2023 On the order of magnitude of Sudler products. II. Zbl 1534.11092 Grepstad, Sigrid; Neumüller, Mario; Zafeiropoulos, Agamemnon 3 2023 Lower order terms for expected value of traces of Frobenius of a family of cyclic covers of \(\mathbb{P}_{\mathbb{F}_q}^1\) and one-level densities. Zbl 1519.11048 Meisner, Patrick 2 2023 Shintani cones for complex cubic number fields. Zbl 1514.11068 Capuñay, Alex 2 2023 Efficient congruencing in ellipsephic sets: the general case. Zbl 1518.11007 Biggs, Kirsti D. 2 2023 Supersingular conjectures for the Fricke group. Zbl 1511.14052 Morton, Patrick 2 2023 Rankin-Cohen brackets of Eisenstein series. Zbl 1532.11063 Xue, Hui 2 2023 Expected value of the smallest denominator in a random interval of fixed radius. Zbl 1528.11061 Chen, Huayang; Haynes, Alan 2 2023 Detailed asymptotic expansions for partitions into powers. Zbl 1536.11161 O’Sullivan, Cormac 2 2023 Vanishing coefficients in quotients of theta functions with odd moduli. Zbl 1536.11075 Du, Julia Q. D.; Tang, Dazhao 2 2023 Divisibility of reduction in groups of rational numbers. II. Zbl 1520.11084 Abdullah, H. O.; Mustafa, A. Ali; Pappalardi, F. 1 2023 An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields. Zbl 1517.11095 Le, Giang 1 2023 An asymptotic expansion for a Lambert series associated to the symmetric square \(L\)-function. Zbl 1519.11046 Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha 1 2023 Divisibility and distribution of mex-related integer partitions of Andrews and Newman. Zbl 1510.11025 Ray, Chiranjit 1 2023 On the exponential Diophantine equation \(F_n^x\pm F_m^x=a\) with \(a\in\{ F_r, L_r\}\). Zbl 1511.11023 Şiar, Zafer 1 2023 Extensions of Watson’s theorem and the Ramanujan-Guinand formula. Zbl 1514.11053 Kumar, Rahul 1 2023 On the sum of a Fibonacci number and a prime. Zbl 1522.11101 Wang, Rui-Jing; Chen, Yong-Gao 1 2023 \(k\)-Diophantine \(m\)-tuples in finite fields. Zbl 1512.11035 Hammonds, Trajan; Kim, Seoyoung; Miller, Steven J.; Nigam, Arjun; Onghai, Kyle; Saikia, Dishant; Sharma, Lalit M. 1 2023 Bolytrope orders. Zbl 1520.11096 El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima 1 2023 Limit shapes for unimodal sequences. Zbl 1514.05017 Bridges, Walter 1 2023 On a variant of Pillai’s problem with binary recurrences and \(S\)-units. Zbl 1529.11060 Ziegler, Volker 1 2023 First moment of central values of quadratic Hecke \(L\)-functions in the Gaussian field. Zbl 07720855 Gao, Peng; Zhao, Liangyi 1 2023 Misiurewicz polynomials and dynamical units, part I. Zbl 1523.37052 Benedetto, Robert L.; Goksel, Vefa 1 2023 Orthogonal Eisenstein series and theta lifts. Zbl 1534.11060 Kiefer, Paul 1 2023 On fractional sums of the divisor functions. Zbl 1531.11091 Zhang, Wei 1 2023 Lacunary eta quotients with identically vanishing coefficients. Zbl 07720856 Huber, Timothy; McLaughlin, James; Ye, Dongxi 1 2023 Rational solutions to the variants of Erdős-Selfridge superelliptic curves. Zbl 1530.11034 Das, Pranabesh; Laishram, Shanta; Saradha, N.; Sharma, Divyum 1 2023 Torsion groups of elliptic curves over \(\mathbb{Q}(\mu_{p^\infty})\). Zbl 1539.11082 Gužvić, Tomislav; Vukorepa, Borna 1 2023 Evaluation of iterated log-sine integrals in terms of multiple polylogarithms. Zbl 07739856 Umezawa, Ryota 1 2023 Analogue of Ramanujan’s function \(k (\tau)\) for the cubic continued fraction. Zbl 07739858 Park, Yoon Kyung 1 2023 Congruences for \(k\)-elongated plane partition diamonds. Zbl 1527.05019 Baruah, Nayandeep Deka; Das, Hirakjyoti; Talukdar, Pranjal 1 2023 On the parity of the number of \((a,b,m)\)-copartitions of \(n\). Zbl 1527.05020 Burson, Hannah E.; Eichhorn, Dennis 1 2023 Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height. Zbl 07774964 Sakurada, Kosuke 1 2023 The mean number of divisors for rough, dense and practical numbers. Zbl 1536.11143 Weingartner, Andreas 1 2023 Weighted partition rank and Crank moments. III. A list of Andrews-Beck type congruences modulo \(5, 7, 11\) and \(13\). Zbl 1491.11095 Chern, Shane 22 2022 On certain sums of number theory. Zbl 1502.11100 Bordellès, Olivier 10 2022 Mordell-Weil ranks and Tate-Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions. Zbl 1497.11272 Lei, Antonio; Lim, Meng Fai 5 2022 The Ru-Vojta result for subvarieties. Zbl 1483.14043 Ru, Min; Wang, Julie Tzu-Yueh 4 2022 Further results on vanishing coefficients in infinite products of the form \((q^b, q^{p - b}; q^p )_\infty^3 (q^{j b}, q^{2 p - j b}; q^{2 p})_\infty\). Zbl 1495.11044 Mc Laughlin, James; Zimmer, Peter 4 2022 Quadratic points on non-split Cartan modular curves. Zbl 1497.11153 Michaud-Rodgers, Philippe 3 2022 The equation \(\frac{x_1}{x_2}+\frac{x_2}{x_3}+\frac{x_3}{x_4}+\frac{x_4}{x_1}=n\). Zbl 1493.11076 Dofs, Erik; Nguyen Xuan Tho 3 2022 On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility. Zbl 1500.11050 Dvornicich, Roberto; Paladino, Laura 3 2022 On the \(\lambda\)-stability of \(p\)-class groups along cyclic \(p\)-towers of a number field. Zbl 1520.11094 Gras, Georges 3 2022 The smallest parts function associated with \(\omega(q)\). Zbl 1518.11038 Wang, Liuquan; Yang, Yifan 3 2022 Consecutive square-free numbers and square-free primitive roots. Zbl 1489.11005 Jing, Mengyao; Liu, Huaning 3 2022 Minimal excludant over partitions into distinct parts. Zbl 1498.11206 Kaur, Prabh Simrat; Bhoria, Subhash Chand; Eyyunni, Pramod; Maji, Bibekananda 3 2022 Further generalizations of some Hecke-type identities. Zbl 1489.11163 Zhang, Helen W. J. 2 2022 Integer dynamics. Zbl 1490.11014 Lorenzini, Dino; Melistas, Mentzelos; Suresh, Arvind; Suwama, Makoto; Wang, Haiyang 2 2022 The number of representations of squares by integral quaternary quadratic forms. Zbl 1493.11079 Kim, Kyoungmin 2 2022 Lambert series associated to Hilbert modular form. Zbl 1499.11201 Agnihotri, Rishabh 2 2022 Theta series for quadratic forms of signature \((n-1,1)\) with (spherical) polynomials. Zbl 1506.11065 Roehrig, Christina; Zwegers, Sander 2 2022 On the divisibility of the rank of appearance of a Lucas sequence. Zbl 1501.11030 Sanna, Carlo 2 2022 Minimal Mahler measure in cubic number fields. Zbl 1521.11046 Eldredge, Lydia; Petersen, Kathleen 2 2022 Relative convergence speed of Lüroth expansions and Hausdorff dimension. Zbl 1494.11068 Tan, Xiaoyan; Liu, Jia; Zhang, Zhenliang 2 2022 Refinement of some partition identities of Merca and Yee. Zbl 1497.11256 Mahanta, Pankaj Jyoti; Saikia, Manjil P. 2 2022 The second moment of \(S_n(t)\) on the Riemann hypothesis. Zbl 1489.11117 Chirre, Andrés; Quesada-Herrera, Oscar E. 2 2022 On the divisibility among power GCD and power LCM matrices on gcd-closed sets. Zbl 1496.11047 Zhu, Guangyan 2 2022 A note on weakly prime-additive numbers. Zbl 1490.11004 Fang, Jin-Hui 2 2022 Projective toric codes. Zbl 1535.94094 Nardi, Jade 2 2022 Partial factorizations of products of binomial coefficients. Zbl 1491.11027 Du, Lara; Lagarias, Jeffrey C. 1 2022 The generalized Catalan equation in positive characteristic. Zbl 1500.11030 Koymans, Peter 1 2022 Hankel determinants of sequences related to Bernoulli and Euler polynomials. Zbl 1498.11072 Dilcher, Karl; Jiu, Lin 1 2022 The Pintz-Steiger-Szemerédi estimate for intersective quadratic polynomials in function fields. Zbl 1505.11132 Li, Guoquan 1 2022 Control of the non-geometrically integral reductions. Zbl 1497.11173 Liu, Chunhui 1 2022 Non-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain \(p\)-adic cyclotomic multiple zeta values. Zbl 1497.11217 Jarossay, David 1 2022 A Diophantine equation inspired by Brahmagupta’s identity. Zbl 1496.11052 Choudhry, Ajai; Bluskov, Iliya; James, Alexander 1 2022 Hyperelliptic curves with many automorphisms. Zbl 1532.14060 Müller, Nicolas; Pink, Richard 1 2022 Galois covers of \(\mathbb P^1\) and number fields with large class groups. Zbl 1502.11112 Gillibert, Jean; Gillibert, Pierre 1 2022 A note on Dedekind zeta values at \(1/2\). Zbl 1494.11060 Kandhil, Neelam 1 2022 Exceptional sets related to the largest digits in Lüroth expansions. Zbl 1506.28007 Lin, Shuyi; Li, Jinjun; Lou, Manli 1 2022 Brauer-Manin obstruction to the local-global principle for the embedding problem. Zbl 1500.12005 Pál, Ambrus; Schlank, Tomer M. 1 2022 Terms of recurrence sequences in the solution sets of generalized Pell equations. Zbl 1501.11045 Hajdu, L.; Sebestyén, P. 1 2022 On primary pseudo-polynomials (around Ruzsa’s conjecture). Zbl 1500.11022 Delaygue, É.; Rivoal, T. 1 2022 Chebyshev polynomials and Galois groups of de Moivre polynomials. Zbl 1500.11078 Girstmair, Kurt 1 2022 On the properties of Northcott and Narkiewicz for elliptic curves. Zbl 1503.11089 Mello, Jorge; Sha, Min 1 2022 On abelian covers of the projective line with fixed gonality and many rational points. Zbl 1518.11050 Faber, Xander; Vermeulen, Floris 1 2022 Solubility of additive quartic forms over ramified quadratic extensions of \(\mathbb{Q}_2\). Zbl 1503.11074 Duncan, Drew; Leep, David B. 1 2022 On approximation by random Lüroth expansions. Zbl 1495.11093 Kalle, Charlene; Maggioni, Marta 1 2022 Explicit small image theorems for residual modular representations. Zbl 1499.11198 Peaucelle, Baptiste 1 2022 Some \(q\)-supercongruences related to Swisher’s (H.3) conjecture. Zbl 1502.33007 Fang, Jian-Ping; Guo, Victor J. W. 1 2022 Mertens’ theorem for Chebotarev sets. Zbl 1498.11198 Arango-Piñeros, Santiago; Keliher, Daniel; Keyes, Christopher 1 2022 A note on prime number races and zero free regions for \(L\) functions. Zbl 1492.11123 Aymone, Marco 1 2022 On restricted divisor sums associated to the Chowla-Walum conjecture. Zbl 1492.11138 Bordellès, Olivier 1 2022 On a problem on restricted \(k\)-colored partitions. Zbl 1486.05023 Ma, Wu-Xia; Chen, Yong-Gao 1 2022 Minimal degrees of algebraic numbers with respect to primitive elements. Zbl 1494.11085 Park, Cheol-Min; Park, Sun Woo 1 2022 Constructing totally \(p\)-adic numbers of small height. Zbl 1493.11102 Checcoli, S.; Fehm, A. 1 2022 Ternary quadratic forms representing the same integers. Zbl 1506.11050 Ju, Jangwon 1 2022 Cyclic cubic extensions of \(\mathbb{Q}\). Zbl 1504.11055 Majumdar, Dipramit; Sury, B. 1 2022 Computing base extensions of ordinary abelian varieties over finite fields. Zbl 1492.14080 Marseglia, Stefano 1 2022 On the weighted average number of subgroups of \(\mathbb{Z}_m\times \mathbb{Z}_n\) with \(mn\leq x\). Zbl 1507.11087 Kiuchi, Isao; Saad Eddin, Sumaia 1 2022 Rational points on del Pezzo surfaces of degree four. Zbl 1509.14053 Mitankin, Vladimir; Salgado, Cecília 1 2022 The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200 Andrews, George Eyre 20 2021 On monogenity of certain pure number fields defined by \(x^{p^r}-m\). Zbl 1483.11236 Ben Yakkou, Hamid; El Fadil, Lhoussain 20 2021 A further \(q\)-analogue of Van Hamme’s (H.2) supercongruence for primes \(p\equiv 3 \pmod 4\). Zbl 1478.33009 Guo, Victor J. W. 16 2021 A new subconvex bound for \(\mathrm{GL}(3)\) \(L\)-functions in the \(t\)-aspect. Zbl 1478.11072 Aggarwal, Keshav 14 2021 ...and 1326 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,794 Authors 60 Shparlinski, Igor E. 55 Guo, Victor J. W. 46 Luca, Florian 45 Barman, Rupam 44 Xia, Ernest X. W. 40 Yao, Olivia Xiang Mei 31 Tang, Dazhao 31 Wang, Liuquan 30 Baruah, Nayandeep Deka 30 Chern, Shane 29 Murty, Maruti Ram 28 Kim, Byungchan 27 Bringmann, Kathrin 27 Chu, Wenchang 27 Komatsu, Takao 27 Mahadeva Naika, Megadahalli Sidda 27 Pollack, Paul 27 Sun, Zhi-Wei 27 Xu, Ce 23 Lin, Bernard L. S. 23 Sun, Zhihong 23 Zaharescu, Alexandru 22 Mao, Renrong 21 El Fadil, Lhoussain 21 Mao, Guo-Shuai 20 Jones, Lenny K. 20 Tóth, László 19 Azizi, Abdelmalek 19 Dubickas, Artūras 19 Eie, Minking 19 Hong, Shaofang 19 Merca, Mircea 18 Alkan, Emre 18 Gómez, Carlos Alexis 18 Gun, Sanoli 18 Kalita, Gautam 18 Lim, Meng Fai 18 Meher, Jaban 18 Osburn, Robert 17 Kim, Chang Heon 17 Kim, Daeyeoul 17 Sanna, Carlo 17 Soydan, Gokhan 17 Togbé, Alain 17 Zudilin, Wadim 16 Dilcher, Karl 16 Lei, Antonio 16 Lovejoy, Jeremy 16 Sellers, James Allen 16 Sha, Min 16 Tauraso, Roberto 16 Wei, Chuanan 15 Alaca, Ayşe 15 Jakhar, Anuj 15 Liu, Jicai 15 Pan, Hao 15 Saikia, Neelam 15 Saikia, Nipen 15 Sofo, Anthony 15 Toh, Pee Choon 15 Wang, Xiaoxia 15 Williams, Kenneth S. 15 Yuan, Pingzhi 14 Alaca, Şaban 14 Cooper, Shaun 14 Heim, Bernhard Ernst 14 Kohnen, Winfried 14 Sahu, Brundaban 14 Shkredov, Il’ya Dmitrievich 14 Ye, Dongxi 13 Ballantine, Cristina M. 13 Bennett, Michael A. 13 Fukshansky, Lenny 13 Gao, Weidong 13 Korolëv, Maksim Aleksandrovich 13 Maji, Bibekananda 13 Pomerance, Carl Bernard 13 Thuswaldner, Jörg Maximilian 13 Wu, Jie 13 Zhai, Wenguang 12 Aygin, Zafer Selçuk 12 Ben Yakkou, Hamid 12 Chen, Kwang-Wu 12 Choi, Soyoung 12 Gras, Georges 12 Gu, Nancy Shan Shan 12 Jennings-Shaffer, Chris 12 Jeon, Daeyeol 12 Kane, Ben 12 Kiuchi, Isao 12 Le, Maohua 12 Li, Yuanlin 12 Ray, Anwesh 12 Straub, Armin 12 Voight, John Michael 12 Yee, Ae Ja 11 Akbary, Amir 11 Arenas-Carmona, Luis 11 Bayad, Abdelmejid 11 Clark, Peter Louis ...and 4,694 more Authors all top 5 Cited in 438 Journals 610 Journal of Number Theory 593 International Journal of Number Theory 410 The Ramanujan Journal 142 Acta Arithmetica 127 Proceedings of the American Mathematical Society 122 Research in Number Theory 105 Bulletin of the Australian Mathematical Society 102 Journal of Mathematical Analysis and Applications 101 Integers 89 Finite Fields and their Applications 84 Journal de Théorie des Nombres de Bordeaux 75 Functiones et Approximatio. 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Third Series 11 Fractals 11 Journal of Inequalities and Applications 11 Journal of the Institute of Mathematics of Jussieu ...and 338 more Journals all top 5 Cited in 56 Fields 5,606 Number theory (11-XX) 968 Combinatorics (05-XX) 544 Special functions (33-XX) 440 Algebraic geometry (14-XX) 206 Group theory and generalizations (20-XX) 174 Dynamical systems and ergodic theory (37-XX) 151 Field theory and polynomials (12-XX) 92 Functions of a complex variable (30-XX) 85 Measure and integration (28-XX) 80 Topological groups, Lie groups (22-XX) 79 Information and communication theory, circuits (94-XX) 77 Probability theory and stochastic processes (60-XX) 76 Commutative algebra (13-XX) 74 Linear and multilinear algebra; matrix theory (15-XX) 69 Computer science (68-XX) 48 Associative rings and algebras (16-XX) 47 Quantum theory (81-XX) 45 Numerical analysis (65-XX) 40 Real functions (26-XX) 40 Sequences, series, summability (40-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 34 Several complex variables and analytic spaces (32-XX) 34 Difference and functional equations (39-XX) 33 Convex and discrete geometry (52-XX) 31 Nonassociative rings and algebras (17-XX) 30 Approximations and expansions (41-XX) 29 Statistical mechanics, structure of matter (82-XX) 26 Ordinary differential equations (34-XX) 20 Integral transforms, operational calculus (44-XX) 20 Geometry (51-XX) 19 Mathematical logic and foundations (03-XX) 19 \(K\)-theory (19-XX) 19 Manifolds and cell complexes (57-XX) 15 Functional analysis (46-XX) 13 Operator theory (47-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Differential geometry (53-XX) 10 Partial differential equations (35-XX) 9 General topology (54-XX) 8 History and biography (01-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Relativity and gravitational theory (83-XX) 7 Category theory; homological algebra (18-XX) 6 General and overarching topics; collections (00-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistics (62-XX) 4 Mathematics education (97-XX) 3 General algebraic systems (08-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year