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: 2,234 Publications (since 2005) References Indexed: 2,229 Publications with 35,434 References. all top 5 Latest Issues 21, No. 1 (2025) 20, No. 10 (2024) 20, No. 9 (2024) 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) ...and 61 more Volumes all top 5 Authors 31 Luca, Florian 15 Murty, Maruti Ram 15 Sun, Zhihong 15 Williams, Kenneth S. 14 Girstmair, Kurt 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 Barman, Rupam 9 Chan, Tsz Ho 9 Chen, Yonggao 9 Choudhry, Ajai 9 Kim, Byungchan 9 Laishram, Shanta 9 Ulas, Maciej 8 Bremner, Andrew 8 Yao, Olivia Xiang Mei 7 Baier, Stephan 7 Cui, Su-Ping 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 Gu, Nancy Shan Shan 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 Bringmann, Kathrin 5 Bugeaud, Yann 5 Dubickas, Artūras 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 Tauraso, Roberto 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 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 ...and 2,301 more Authors all top 5 Fields 2,189 Number theory (11-XX) 230 Combinatorics (05-XX) 161 Algebraic geometry (14-XX) 151 Special functions (33-XX) 70 Group theory and generalizations (20-XX) 48 Field theory and polynomials (12-XX) 41 Dynamical systems and ergodic theory (37-XX) 32 Topological groups, Lie groups (22-XX) 32 Functions of a complex variable (30-XX) 26 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 Nonassociative rings and algebras (17-XX) 10 \(K\)-theory (19-XX) 10 Convex and discrete geometry (52-XX) 9 Linear and multilinear algebra; matrix theory (15-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 History and biography (01-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-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 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-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 1,636 Publications have been cited 8,712 times in 6,391 Documents Cited by ▼ Year ▼ More on the sum-product phenomenon in prime fields and its applications. Zbl 1173.11310 Bourgain, J. 119 2005 Ramanujan’s cubic continued fraction and an analog of his ”most beautiful identity”. Zbl 1203.05008 Chan, Hei-Chi 90 2010 Ramanujan’s cubic continued fraction and Ramanujan type congruences for a certain partition function. Zbl 1205.11111 Chan, Hei-Chi 51 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 44 2006 Power integral bases for certain pure sextic fields. Zbl 1316.11094 Ahmad, Shahzad; Nakahara, Toru; Husnine, Syed Muhammad 43 2014 Vector-valued modular forms and linear differential operators. Zbl 1197.11054 Mason, Geoffrey 42 2007 Evaluating convolution sums of the divisor function by quasimodular forms. Zbl 1142.11027 Royer, Emmanuel 41 2007 On some new congruences for binomial coefficients. Zbl 1247.11027 Sun, Zhiwei; Tauraso, Roberto 40 2011 Congruences for Andrews’ smallest parts partition function and new congruences for Dyson’s rank. Zbl 1219.11153 Garvan, F. G. 40 2010 Iwasawa theory and \(p\)-adic \(L\)-functions over \(\mathbb{Z}_p^2\)-extensions. Zbl 1314.11066 Loeffler, David; Zerbes, Sarah Livia 39 2014 Arithmetic of \(l\)-regular partition functions. Zbl 1221.11208 Penniston, David 39 2008 Arithmetic properties of Andrews’ singular overpartitions. Zbl 1320.05010 Chen, Shi-Chao; Hirschhorn, Michael D.; Sellers, James A. 38 2015 Congruence properties modulo 5 and 7 for the pod function. Zbl 1246.11168 Radu, Silviu; Sellers, James A. 37 2011 On the \(q\)-derivative and \(q\)-series expansions. Zbl 1284.05040 Liu, Zhi-Guo 35 2013 The first negative Hecke eigenvalue. Zbl 1219.11066 Iwaniec, H.; Kohnen, W.; Sengupta, J. 35 2007 Some families of permutation polynomials over finite fields. Zbl 1204.11180 Zieve, Michael E. 35 2008 Rank and congruences for overpartition pairs. Zbl 1221.11206 Bringmann, Kathrin; Lovejoy, Jeremy 35 2008 \(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. Zbl 1423.11043 Gorodetsky, Ofir 33 2019 The Diophantine equation \(A^4 + 2^{\delta }B^2 = C^n\). Zbl 1218.11035 Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C. 32 2010 The convolution sum \(\sum_{m<n/9}\sigma(m)\sigma(n-9m)\). Zbl 1082.11003 Williams, Kenneth S. 31 2005 Extending Gaussian hypergeometric series to the \(p\)-adic setting. Zbl 1253.33024 McCarthy, Dermot 31 2012 Hypergeometric Bernoulli polynomials and Appell sequences. Zbl 1204.11049 Hassen, Abdul; Nguyen, Hieu D. 31 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 Congruences satisfied by Apéry-like numbers. Zbl 1303.11009 Chan, Heng Huat; Cooper, Shaun; Sica, Francesco 29 2010 On multiple zeta values of even arguments. Zbl 1416.11132 Hoffman, Michael E. 29 2017 New congruences for Andrews’ singular overpartitions. Zbl 1391.11143 Ahmed, Zakir; Baruah, Nayandeep Deka 28 2015 Characterization of primes dividing the index of a trinomial. Zbl 1431.11116 Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj 28 2017 On a conjectured \(q\)-congruence of Guo and Zeng. Zbl 1428.11041 Ni, He-Xia; Pan, Hao 28 2018 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 Thirty-two Goldbach variations. Zbl 1094.11031 Borwein, Jonathan M.; Bradley, David M. 27 2006 Arithmetic properties of \(l\)-regular overpartitions. Zbl 1337.05010 Shen, Erin Y. Y. 27 2016 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 26 2011 A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309 Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun 26 2005 Hypergeometric zeta functions. Zbl 1245.11098 Hassen, Abdul; Nguyen, Hieu D. 25 2010 Infinite series with harmonic numbers and central binomial coefficients. Zbl 1191.05014 Chu, Wenchang; Zheng, Deyin 24 2009 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. 24 2006 Hypergeometric functions over finite fields and their relations to algebraic curves. Zbl 1287.11138 Vega, M. Valentina 23 2011 Torsion points on elliptic curves with complex multiplication (With an appendix by Alex Rice). Zbl 1272.11075 Clark, Pete L.; Cook, Brian; Stankewicz, James 23 2013 A polynomial analogue to the Stern sequence. Zbl 1117.11017 Dilcher, Karl; Stolarsky, Kenneth B. 23 2007 Arithmetic identities and congruences for partition triples with 3-cores. Zbl 1346.11058 Wang, Liuquan 22 2016 The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200 Andrews, George Eyre 22 2021 On some combinatorial identities and harmonic sums. Zbl 1376.11065 Batir, Necdet 22 2017 On the largest prime factor of the \(k\)-Fibonacci numbers. Zbl 1292.11034 Bravo, Jhon J.; Luca, Florian 22 2013 Polynomial root separation. Zbl 1205.11032 Bugeaud, Yann; Mignotte, Maurice 22 2010 On the maximal length of consecutive zero digits of \(\beta\)-expansions. Zbl 1337.11053 Tong, Xin; Yu, Yueli; Zhao, Yanfen 22 2016 Vanishing coefficients in some \(q\)-series expansions. Zbl 1459.11117 Tang, Dazhao 22 2019 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 Generalized Fermat equations: a miscellany. Zbl 1390.11065 Bennett, Michael A.; Chen, Imin; Dahmen, Sander R.; Yazdani, Soroosh 20 2015 The Burgess inequality and the least \(k\)th power non-residue. Zbl 1377.11091 Treviño, Enrique 20 2015 A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078 McCarthy, Dermot; Papanikolas, Matthew A. 20 2015 2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014 Ono, Ken; Taguchi, Yuichiro 20 2005 A survey of Ramanujan expansions. Zbl 1222.11003 Lucht, Lutz G. 20 2010 Hypergeometric Cauchy numbers. Zbl 1301.11030 Komatsu, Takao 20 2013 Generalized harmonic numbers and Euler sums. Zbl 1398.11115 Chen, Kwang-Wu 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 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 Some congruences deducible from Ramanujan’s cubic continued fraction. Zbl 1231.11009 Baruah, Nayandeep Deka; Ojah, Kanan Kumari 19 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 19 2022 Zeros of weakly holomorphic modular forms of level \(4\). Zbl 1286.11053 Haddock, Andrew; Jenkins, Paul 19 2014 Dwork’s congruences for the constant terms of powers of a Laurent polynomial. Zbl 1408.11114 Mellit, Anton; Vlasenko, Masha 19 2016 On cubic equations over \(p\)-adic fields. Zbl 1307.11124 Mukhamedov, Farrukh; Omirov, Bakhrom; Saburov, Mansoor 19 2014 Proof of a \(q\)-congruence conjectured by Tauraso. Zbl 1467.11027 Guo, Victor J. W. 19 2019 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 Watt’s mean value theorem and Carmichael numbers. Zbl 1221.11194 Harman, Glyn 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 On the Diophantine equation \(x^2+2^a\cdot 5^b=y^n\). Zbl 1231.11041 Luca, Florian; Togbé, Alain 19 2008 Fourier series of a class of eta quotients. Zbl 1252.11043 Williams, Kenneth S. 18 2012 The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments. Zbl 1337.11065 Pasten, Hector 18 2015 Density of two squares of primes and powers of 2. Zbl 1237.11042 Liu, Zhixin; Lü, Guangshi 18 2011 Weber’s class number problem in the cyclotomic \(\mathbb Z_{2}\)-extension of \(\mathbb Q\). III. Zbl 1226.11119 Fukuda, Takashi; Komatsu, Keiichi 18 2011 A theorem on seven-colored overpartitions and its applications. Zbl 1087.11063 Lovejoy, Jeremy 18 2005 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 Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018 Bayad, Abdelmejid; Beck, Matthias 18 2014 Vector-valued modular forms and the modular orbifold of elliptic curves. Zbl 1419.11076 Candelori, Luca; Franc, Cameron 18 2017 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. 17 2021 Sign changes of Fourier coefficients of half-integral weight cusp forms. Zbl 1304.11029 Meher, Jaban; Murty, M. Ram 17 2014 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 On a kind of duality of multiple zeta-star values. Zbl 1221.11184 Kaneko, Masanobu; Ohno, Yasuo 17 2010 Special values of the polygamma functions. Zbl 1189.11039 Murty, M. Ram; Saradha, N. 17 2009 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 Another generalization of Menon’s identity. Zbl 1392.11004 Zhao, Xiao-Peng; Cao, Zhen-Fu 17 2017 New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028 Guo, Victor J. W.; Zeng, Jiang 17 2012 Problems in additive number theory. IV: Nets in groups and shortest length \(g\)-adic representations. Zbl 1252.11007 Nathanson, Melvyn B. 17 2011 Gauss summation and Ramanujan-type series for \(1/\pi\). Zbl 1241.33005 Liu, Zhi-Guo 17 2012 Identities of the Rogers-Ramanujan-Slater type. Zbl 1148.33013 Sills, Andrew V. 17 2007 A ternary Diophantine inequality involving primes. Zbl 1422.11209 Cai, Yingchun 17 2018 Explicit evaluation of quadratic Euler sums. Zbl 1416.11131 Xu, Ce; Yang, Yingyue; Zhang, Jianwen 17 2017 A new subconvex bound for \(\mathrm{GL}(3)\) \(L\)-functions in the \(t\)-aspect. Zbl 1478.11072 Aggarwal, Keshav 16 2021 Squares: additive questions and partitions. Zbl 1334.11080 Vaughan, Robert C. 16 2015 Menon-type identities concerning Dirichlet characters. Zbl 1421.11010 Tóth, László 16 2018 Eventually stable rational functions. Zbl 1391.37072 Jones, Rafe; Levy, Alon 16 2017 New Ramanujan type congruence modulo 7 for 4-colored generalized Frobenius partitions. Zbl 1285.05011 Lin, Bernard L. S. 16 2014 Eichler orders, trees and representation fields. Zbl 1306.11094 Arenas-Carmona, Luis 16 2013 On power basis of a class of algebraic number fields. Zbl 1357.11106 Jhorar, Bablesh; Khanduja, Sudesh K. 16 2016 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 the \(j\)th smallest modulus of a covering system with distinct moduli. Zbl 1544.11010 Klein, Jonah; Koukoulopoulos, Dimitris; Lemieux, Simon 2 2024 Number of \(\mathbb{F}_q\)-points on diagonal hypersurfaces and hypergeometric function. Zbl 07957202 Sulakashna; Barman, Rupam 2 2024 On some sums involving the integral part function. Zbl 07839470 Liu, Kui; Wu, Jie; Yang, Zhishan 2 2024 Primes in denominators of algebraic numbers. Zbl 1548.11136 Singhal, Deepesh; Lin, Yuxin 1 2024 Congruence properties modulo powers of 2 for overpartitions and overpartition pairs. Zbl 1543.11097 Tang, Dazhao 1 2024 On additive decompositions of primitive elements in finite fields. Zbl 07819769 She, Yue-Feng; Wu, Hai-Liang 1 2024 An upper bound on the number of classes of perfect unary forms in totally real number fields. Zbl 07900421 Porter, Christian; Mendelsohn, Andrew 1 2024 On the sign changes of the coefficients attached to triple product \(L\)-functions. Zbl 07900422 Hua, Guodong 1 2024 On the rational cuspidal divisor class groups of Drinfeld modular curves \(X_0(\mathfrak{p}^r)\). Zbl 07900424 Ho, Sheng-Yang Kevin 1 2024 Arithmetic progressions in squarefull numbers. Zbl 07785369 Bajpai, Prajeet; Bennett, Michael A.; Chan, Tsz Ho 1 2024 Modularity of Nahm sums for the tadpole diagram. Zbl 07785371 Milas, Antun; Wang, Liuquan 1 2024 The Mahler measure of \(x+1/x+y+1/y+4\pm 4\sqrt{2}\) and Beilinson’s conjecture. Zbl 1542.11051 Guo, Xuejun; Ji, Qingzhong; Liu, Hang; Qin, Hourong 1 2024 On the divisibility of 7-elongated plane partition diamonds by powers of 8. Zbl 1540.11142 Sellers, J. A.; Smoot, N. A. 1 2024 New and simple proofs of Ramanujan’s modular equations of degree 11. Zbl 07785381 Vasuki, K. R.; Yathirajsharma, M. V. 1 2024 Some separable integer partition classes. Zbl 07864372 Chen, Y. H.; He, Thomas Y.; Tang, F.; Wei, J. J. 1 2024 The minimal odd excludant and Euler’s partition theorem. Zbl 1542.05013 Wang, Andrew Y. Z.; Xu, Zheng 1 2024 Radial behavior of Mahler functions. Zbl 07935171 Poulet, Marina; Rivoal, Tanguy 1 2024 Large Pólya groups in simplest cubic fields and consecutive bi-quadratic fields. Zbl 07935174 Islam, Md. Imdadul; Chattopadhyay, Jaitra; Chakraborty, Debopam 1 2024 Values of \(p\)-adic hypergeometric functions and \(p\)-adic analogue of Kummer’s linear identity. Zbl 07935177 Saikia, Neelam 1 2024 On the error term in the explicit formula of Riemann-von Mangoldt. Zbl 1531.11086 Cully-Hugill, Michaela; Johnston, Daniel R. 9 2023 Proofs of two conjectural Andrews-Beck type congruences due to Lin, Peng and Toh. Zbl 1526.11058 Du, Julia Q. D.; Tang, Dazhao 6 2023 Detailed asymptotic expansions for partitions into powers. Zbl 1536.11161 O’Sullivan, Cormac 5 2023 Vanishing coefficients in quotients of theta functions with odd moduli. Zbl 1536.11075 Du, Julia Q. D.; Tang, Dazhao 5 2023 Efficient congruencing in ellipsephic sets: the general case. Zbl 1518.11007 Biggs, Kirsti D. 4 2023 Product of three primes in large arithmetic progressions. Zbl 1516.11089 Balasubramanian, Ramachandran; Ramaré, Olivier; Srivastav, Priyamvad 4 2023 On the order of magnitude of Sudler products. II. Zbl 1534.11092 Grepstad, Sigrid; Neumüller, Mario; Zafeiropoulos, Agamemnon 4 2023 Congruences for \(k\)-elongated plane partition diamonds. Zbl 1527.05019 Baruah, Nayandeep Deka; Das, Hirakjyoti; Talukdar, Pranjal 3 2023 Unramified extensions of quadratic number fields with certain perfect Galois groups. Zbl 1514.12002 König, Joachim 3 2023 Rankin-Cohen brackets of Eisenstein series. Zbl 1532.11063 Xue, Hui 3 2023 Neighborly partitions and the numerators of Rogers-Ramanujan identities. Zbl 1517.11133 Mohsen, Zahraa; Mourtada, Hussein 3 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. 3 2023 Expected value of the smallest denominator in a random interval of fixed radius. Zbl 1528.11061 Chen, Huayang; Haynes, Alan 3 2023 Analogue of Ramanujan’s function \(k (\tau)\) for the cubic continued fraction. Zbl 07739858 Park, Yoon Kyung 2 2023 The mean number of divisors for rough, dense and practical numbers. Zbl 1536.11143 Weingartner, Andreas 2 2023 Supersingular conjectures for the Fricke group. Zbl 1511.14052 Morton, Patrick 2 2023 Shintani cones for complex cubic number fields. Zbl 1514.11068 Capuñay, Alex 2 2023 Proof of Kaneko-Tsumura conjecture on triple \(T\)-values. Zbl 1516.11083 Berger, Sasha; Chandra, Aarav; Jain, Jasper; Xu, Daniel; Xu, Ce; Zhao, Jianqiang 2 2023 Lacunary eta quotients with identically vanishing coefficients. Zbl 07720856 Huber, Timothy; McLaughlin, James; Ye, Dongxi 2 2023 On the sum of a Fibonacci number and a prime. Zbl 1522.11101 Wang, Rui-Jing; Chen, Yong-Gao 2 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 2 2023 Evaluation of iterated log-sine integrals in terms of multiple polylogarithms. Zbl 1542.11081 Umezawa, Ryota 1 2023 On a family of Siegel Poincaré series. Zbl 1539.11067 Žunar, Sonja 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 1541.11074 Sakurada, Kosuke 1 2023 The Shimura-Shintani correspondence via singular theta lifts and currents. Zbl 1548.11076 Crawford, Jonathan; Funke, Jens 1 2023 Galois groups of \(\binom{n}{0} + \binom{n}{1} X + \cdots + \binom{n}{6} X^6\). Zbl 1536.11173 Klahn, Benjamin; Technau, Marc 1 2023 Paramodular groups and theta series. Zbl 1546.11060 Böcherer, Siegfried; Schulze-Pillot, Rainer 1 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 Torsion of elliptic curves in the compositum of dihedral fields. Zbl 1519.11028 Chou, Michael; Karker, Mary Leah 1 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 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 Extensions of Watson’s theorem and the Ramanujan-Guinand formula. Zbl 1514.11053 Kumar, Rahul 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 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 1547.11097 Gao, Peng; Zhao, Liangyi 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 Some remarks on the Erdős distinct subset sums problem. Zbl 1535.11016 Steinerberger, Stefan 1 2023 Divisibility and distribution of mex-related integer partitions of Andrews and Newman. Zbl 1510.11025 Ray, Chiranjit 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 Identities of general Kloosterman sums. Zbl 1528.11069 Liu, Xiaoge; Zhang, Tianping 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 19 2022 On certain sums of number theory. Zbl 1502.11100 Bordellès, Olivier 11 2022 Minimal excludant over partitions into distinct parts. Zbl 1498.11206 Kaur, Prabh Simrat; Bhoria, Subhash Chand; Eyyunni, Pramod; Maji, Bibekananda 5 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 5 2022 The Ru-Vojta result for subvarieties. Zbl 1483.14043 Ru, Min; Wang, Julie Tzu-Yueh 5 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 smallest parts function associated with \(\omega(q)\). Zbl 1518.11038 Wang, Liuquan; Yang, Yifan 4 2022 Consecutive square-free numbers and square-free primitive roots. Zbl 1489.11005 Jing, Mengyao; Liu, Huaning 4 2022 Refinement of some partition identities of Merca and Yee. Zbl 1497.11256 Mahanta, Pankaj Jyoti; Saikia, Manjil P. 3 2022 On the divisibility among power GCD and power LCM matrices on gcd-closed sets. Zbl 1496.11047 Zhu, Guangyan 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 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 Quadratic points on non-split Cartan modular curves. Zbl 1497.11153 Michaud-Rodgers, Philippe 3 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 2 2022 Hyperelliptic curves with many automorphisms. Zbl 1532.14060 Müller, Nicolas; Pink, Richard 2 2022 The second moment of \(S_n(t)\) on the Riemann hypothesis. Zbl 1489.11117 Chirre, Andrés; Quesada-Herrera, Oscar E. 2 2022 Lambert series associated to Hilbert modular form. Zbl 1499.11201 Agnihotri, Rishabh 2 2022 The number of representations of squares by integral quaternary quadratic forms. Zbl 1493.11079 Kim, Kyoungmin 2 2022 Relative convergence speed of Lüroth expansions and Hausdorff dimension. Zbl 1494.11068 Tan, Xiaoyan; Liu, Jia; Zhang, Zhenliang 2 2022 On approximation by random Lüroth expansions. Zbl 1495.11093 Kalle, Charlene; Maggioni, Marta 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 Solubility of additive quartic forms over ramified quadratic extensions of \(\mathbb{Q}_2\). Zbl 1503.11074 Duncan, Drew; Leep, David B. 2 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 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 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 a sum involving small arithmetic functions. Zbl 1502.11088 Zhai, Wenguang 1 2022 Rational points on del Pezzo surfaces of degree four. Zbl 1509.14053 Mitankin, Vladimir; Salgado, Cecília 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 ...and 1343 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,978 Authors 61 Shparlinski, Igor E. 55 Guo, Victor J. W. 49 Barman, Rupam 47 Luca, Florian 45 Xia, Ernest X. W. 45 Yao, Olivia Xiang Mei 34 Tang, Dazhao 32 Baruah, Nayandeep Deka 32 Wang, Liuquan 31 Chern, Shane 30 Pollack, Paul 30 Xu, Ce 29 Bringmann, Kathrin 29 Kim, Byungchan 29 Murty, Maruti Ram 28 Chu, Wenchang 28 Mahadeva Naika, Megadahalli Sidda 27 Komatsu, Takao 27 Sun, Zhi-Wei 25 Zaharescu, Alexandru 24 Lin, Bernard L. S. 24 Mao, Renrong 23 Mao, Guo-Shuai 23 Sun, Zhihong 23 Tóth, László 22 El Fadil, Lhoussain 22 Jones, Lenny K. 20 Azizi, Abdelmalek 20 Merca, Mircea 19 Dubickas, Artūras 19 Eie, Minking 19 Gun, Sanoli 19 Hong, Shaofang 19 Lim, Meng Fai 19 Osburn, Robert 18 Alkan, Emre 18 Gómez, Carlos Alexis 18 Jakhar, Anuj 18 Kalita, Gautam 18 Meher, Jaban 17 Kim, Chang Heon 17 Kim, Daeyeoul 17 Sanna, Carlo 17 Sellers, James Allen 17 Sha, Min 17 Soydan, Gokhan 17 Tauraso, Roberto 17 Togbé, Alain 17 Wang, Xiaoxia 17 Zudilin, Wadim 16 Dilcher, Karl 16 Heim, Bernhard Ernst 16 Lei, Antonio 16 Lovejoy, Jeremy 16 Saikia, Nipen 16 Wei, Chuanan 16 Williams, Kenneth S. 16 Ye, Dongxi 15 Alaca, Ayşe 15 Liu, Jicai 15 Pan, Hao 15 Saikia, Neelam 15 Sofo, Anthony 15 Toh, Pee Choon 15 Yuan, Pingzhi 14 Alaca, Şaban 14 Ballantine, Cristina M. 14 Bennett, Michael A. 14 Cooper, Shaun 14 Cui, Su-Ping 14 Ranganatha, D. 14 Fukshansky, Lenny 14 Gao, Weidong 14 Kiuchi, Isao 14 Kohnen, Winfried 14 Sahu, Brundaban 14 Shkredov, Il’ya Dmitrievich 14 Zhai, Wenguang 13 Chen, Kwang-Wu 13 Gu, Nancy Shan Shan 13 Korolëv, Maksim Aleksandrovich 13 Maji, Bibekananda 13 Neuhauser, Markus 13 Pomerance, Carl Bernard 13 Thuswaldner, Jörg Maximilian 13 Wu, Jie 13 Zekhnini, Abdelkader 12 Aygin, Zafer Selçuk 12 Ben Yakkou, Hamid 12 Choi, Soyoung 12 Dixit, Atul 12 Gras, Georges 12 Hua, Guodong 12 Jennings-Shaffer, Chris 12 Jeon, Daeyeol 12 Kane, Ben 12 Le, Maohua 12 Li, Yuanlin 12 Mc Laughlin, James G. 12 Ray, Anwesh ...and 4,878 more Authors all top 5 Cited in 449 Journals 622 Journal of Number Theory 605 International Journal of Number Theory 433 The Ramanujan Journal 153 Acta Arithmetica 131 Proceedings of the American Mathematical Society 130 Research in Number Theory 112 Bulletin of the Australian Mathematical Society 111 Journal of Mathematical Analysis and Applications 102 Integers 91 Finite Fields and their Applications 86 Journal de Théorie des Nombres de Bordeaux 80 Functiones et Approximatio. Commentarii Mathematici 76 Transactions of the American Mathematical Society 70 Monatshefte für Mathematik 66 Rocky Mountain Journal of Mathematics 66 Advances in Mathematics 62 Mathematics of Computation 61 Discrete Mathematics 61 Mathematische Zeitschrift 55 Periodica Mathematica Hungarica 51 Mathematical Proceedings of the Cambridge Philosophical Society 51 Mathematische Annalen 50 Research in the Mathematical Sciences 49 Archiv der Mathematik 49 Journal of Combinatorial Theory. Series A 46 Mathematika 45 Algebra & Number Theory 44 Indian Journal of Pure & Applied Mathematics 44 Results in Mathematics 42 Journal of Algebra 42 Advances in Applied Mathematics 41 Acta Mathematica Hungarica 40 Journal of the Ramanujan Mathematical Society 38 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 37 Journal of Integer Sequences 35 Bulletin of the London Mathematical Society 34 The Electronic Journal of Combinatorics 33 Manuscripta Mathematica 32 Annals of Combinatorics 31 Compositio Mathematica 30 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 29 Journal of the London Mathematical Society. Second Series 29 Forum Mathematicum 29 Journal of Difference Equations and Applications 28 Turkish Journal of Mathematics 28 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Indagationes Mathematicae. New Series 26 AIMS Mathematics 25 Colloquium Mathematicum 24 Lithuanian Mathematical Journal 24 Czechoslovak Mathematical Journal 24 Quaestiones Mathematicae 23 Journal of High Energy Physics 23 Journal of the Australian Mathematical Society 21 Acta Mathematica Sinica. English Series 21 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 21 Open Mathematics 20 Israel Journal of Mathematics 20 Mathematical Notes 20 Experimental Mathematics 20 Integral Transforms and Special Functions 20 Boletín de la Sociedad Matemática Mexicana. Third Series 19 Canadian Mathematical Bulletin 19 Annales Mathématiques du Québec 18 Communications in Algebra 18 Duke Mathematical Journal 18 Journal of the Korean Mathematical Society 18 Journal für die Reine und Angewandte Mathematik 18 European Journal of Combinatorics 18 Bulletin of the Korean Mathematical Society 18 Journal of the European Mathematical Society (JEMS) 17 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 17 Annales de l’Institut Fourier 17 Linear Algebra and its Applications 17 Journal of Algebra and its Applications 16 Expositiones Mathematicae 16 Documenta Mathematica 16 Taiwanese Journal of Mathematics 16 JP Journal of Algebra, Number Theory and Applications 15 Proceedings of the Japan Academy. Series A 15 Tokyo Journal of Mathematics 15 Mediterranean Journal of Mathematics 14 Glasgow Mathematical Journal 14 Journal of Pure and Applied Algebra 14 Pacific Journal of Mathematics 14 Designs, Codes and Cryptography 14 Kyushu Journal of Mathematics 13 Canadian Journal of Mathematics 13 Inventiones Mathematicae 13 Mathematische Nachrichten 13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Mathematica Slovaca 12 Memoirs of the American Mathematical Society 12 Proceedings of the London Mathematical Society. Third Series 12 Journal of the Institute of Mathematics of Jussieu 12 Proceedings of the Steklov Institute of Mathematics 12 Science China. Mathematics 12 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 12 Communications in Mathematics 12 Forum of Mathematics, Sigma ...and 349 more Journals all top 5 Cited in 56 Fields 5,890 Number theory (11-XX) 1,033 Combinatorics (05-XX) 575 Special functions (33-XX) 462 Algebraic geometry (14-XX) 219 Group theory and generalizations (20-XX) 185 Dynamical systems and ergodic theory (37-XX) 156 Field theory and polynomials (12-XX) 96 Functions of a complex variable (30-XX) 89 Measure and integration (28-XX) 86 Commutative algebra (13-XX) 85 Topological groups, Lie groups (22-XX) 83 Probability theory and stochastic processes (60-XX) 80 Information and communication theory, circuits (94-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 73 Computer science (68-XX) 49 Quantum theory (81-XX) 48 Associative rings and algebras (16-XX) 46 Numerical analysis (65-XX) 43 Sequences, series, summability (40-XX) 42 Real functions (26-XX) 37 Difference and functional equations (39-XX) 36 Several complex variables and analytic spaces (32-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 33 Nonassociative rings and algebras (17-XX) 33 Convex and discrete geometry (52-XX) 32 Approximations and expansions (41-XX) 30 Statistical mechanics, structure of matter (82-XX) 26 Ordinary differential equations (34-XX) 23 Mathematical logic and foundations (03-XX) 20 \(K\)-theory (19-XX) 20 Integral transforms, operational calculus (44-XX) 20 Geometry (51-XX) 20 Manifolds and cell complexes (57-XX) 16 Functional analysis (46-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Differential geometry (53-XX) 13 Operator theory (47-XX) 10 Partial differential equations (35-XX) 10 Relativity and gravitational theory (83-XX) 9 General topology (54-XX) 8 History and biography (01-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 7 Category theory; homological algebra (18-XX) 7 Operations research, mathematical programming (90-XX) 6 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Mathematics education (97-XX) 3 General algebraic systems (08-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 3 Algebraic topology (55-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) Citations by Year