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: 2,079 Publications (since 2005) References Indexed: 2,074 Publications with 32,522 References. all top 5 Latest Issues 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) 10, No. 2 (2014) 10, No. 1 (2014) 9, No. 8 (2013) 9, No. 7 (2013) 9, No. 6 (2013) 9, No. 5 (2013) 9, No. 4 (2013) 9, No. 3 (2013) 9, No. 2 (2013) ...and 49 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 8 Bremner, Andrew 8 Chan, Tsz Ho 8 Chen, Yonggao 8 Choudhry, Ajai 8 Kim, Byungchan 8 Ulas, Maciej 7 Barman, Rupam 7 Eie, Minking 7 Kohnen, Winfried 7 Laishram, Shanta 7 Li, Jinjiang 7 Sanna, Carlo 7 Sun, Zhi-Wei 7 Vignat, Christophe 7 Walling, Lynne H. 7 Yao, Olivia Xiang Mei 7 Zhai, Wenguang 6 Alkan, Emre 6 Andrews, George Eyre 6 Baier, Stephan 6 Baoulina, Ioulia N. 6 Berndt, Bruce Carl 6 Chern, Shane 6 Cooper, Shaun 6 Cui, Su-Ping 6 Dilcher, Karl 6 Liu, Zhi-Guo 6 Liu, Zhixin 6 Lovejoy, Jeremy 6 Moll, Victor Hugo 6 Pollack, Paul 6 Skałba, Mariusz 6 Ye, Dongxi 6 Zhang, Min 5 Azizi, Abdelmalek 5 Bugeaud, Yann 5 Cai, Tianxin 5 Chen, Shichao 5 Dubickas, Artūras 5 Gu, Nancy Shan Shan 5 Harrington, Joshua 5 Liaw, Wen-Chin 5 Lim, Meng Fai 5 Liu, Huaning 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 Ramakrishnan, Balakrishnan 5 Rouse, Jeremy A. 5 Saad Eddin, Sumaia 5 Saradha, N. 5 Sellers, James Allen 5 Väänänen, Keijo O. 5 Vulakh, L. Ya. 5 Wang, Liuquan 5 Ziegler, Volker 4 Akbary, Amir 4 Bennett, Michael A. 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 Gun, Sanoli 4 Hamahata, Yoshinori 4 Hassen, Abdul 4 Haynes, Alan K. 4 Hong, Shaofang 4 Jiu, Lin 4 Ju, Jangwon 4 Khanduja, Sudesh K. 4 Khuri-Makdisi, Kamal 4 Knopp, Marvin Isadore 4 Köklüce, Bülent 4 Komatsu, Takao 4 Lengyel, Tamás 4 Li, Yuanlin 4 Lin, Bernard L. S. 4 Liu, Jicai 4 Lu, Guangshi 4 Maji, Bibekananda ...and 2,144 more Authors all top 5 Fields 2,035 Number theory (11-XX) 214 Combinatorics (05-XX) 148 Algebraic geometry (14-XX) 137 Special functions (33-XX) 65 Group theory and generalizations (20-XX) 46 Field theory and polynomials (12-XX) 36 Dynamical systems and ergodic theory (37-XX) 30 Functions of a complex variable (30-XX) 29 Topological groups, Lie groups (22-XX) 24 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) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Nonassociative rings and algebras (17-XX) 9 \(K\)-theory (19-XX) 8 Sequences, series, summability (40-XX) 7 Convex and discrete geometry (52-XX) 7 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Ordinary differential equations (34-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 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 1,459 Publications have been cited 7,071 times in 5,238 Documents Cited by ▼ Year ▼ More on the sum-product phenomenon in prime fields and its applications. Zbl 1173.11310Bourgain, J. 105 2005 Ramanujan’s cubic continued fraction and an analog of his ”most beautiful identity”. Zbl 1203.05008Chan, Hei-Chi 77 2010 Wolstenholme type theorem for multiple harmonic sums. Zbl 1218.11005Zhao, Jianqiang 43 2008 Singular overpartitions. Zbl 1325.11107Andrews, George E. 42 2015 Ramanujan’s cubic continued fraction and Ramanujan type congruences for a certain partition function. Zbl 1205.11111Chan, Hei-Chi 41 2010 Vector-valued modular forms and linear differential operators. Zbl 1197.11054Mason, Geoffrey 39 2007 Congruences for Andrews’ smallest parts partition function and new congruences for Dyson’s rank. Zbl 1219.11153Garvan, F. G. 39 2010 Evaluating convolution sums of the divisor function by quasimodular forms. Zbl 1142.11027Royer, Emmanuel 38 2007 On some new congruences for binomial coefficients. Zbl 1247.11027Sun, Zhiwei; Tauraso, Roberto 38 2011 The quintuple product identity. Zbl 1159.33300Cooper, Shaun 37 2006 Arithmetic properties of Andrews’ singular overpartitions. Zbl 1320.05010Chen, Shi-Chao; Hirschhorn, Michael D.; Sellers, James A. 33 2015 Arithmetic of \(l\)-regular partition functions. Zbl 1221.11208Penniston, David 32 2008 Rank and congruences for overpartition pairs. Zbl 1221.11206Bringmann, Kathrin; Lovejoy, Jeremy 30 2008 The first negative Hecke eigenvalue. Zbl 1219.11066Iwaniec, H.; Kohnen, W.; Sengupta, J. 30 2007 \(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. Zbl 1423.11043Gorodetsky, Ofir 30 2019 Iwasawa theory and \(p\)-adic \(L\)-functions over \(\mathbb{Z}_p^2\)-extensions. Zbl 1314.11066Loeffler, David; Zerbes, Sarah Livia 29 2014 Power integral bases for certain pure sextic fields. Zbl 1316.11094Ahmad, Shahzad; Nakahara, Toru; Husnine, Syed Muhammad 29 2014 Thirty-two Goldbach variations. Zbl 1094.11031Borwein, Jonathan M.; Bradley, David M. 28 2006 Extending Gaussian hypergeometric series to the \(p\)-adic setting. Zbl 1253.33024McCarthy, Dermot 28 2012 The convolution sum \(\sum_{m<n/9}\sigma(m)\sigma(n-9m)\). Zbl 1082.11003Williams, Kenneth S. 28 2005 On multiple zeta values of even arguments. Zbl 1416.11132Hoffman, Michael E. 28 2017 Congruence properties modulo 5 and 7 for the pod function. Zbl 1246.11168Radu, Silviu; Sellers, James A. 27 2011 The Diophantine equation \(A^4 + 2^{\delta }B^2 = C^n\). Zbl 1218.11035Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C. 27 2010 Hypergeometric Bernoulli polynomials and Appell sequences. Zbl 1204.11049Hassen, Abdul; Nguyen, Hieu D. 26 2008 A \(q\)-analogue of the (A.2) supercongruence of Van Hamme for any prime \(p\equiv 3(\mathrm{mod}4)\). Zbl 1469.11006Wang, Xiaoxia; Yue, Mingbing 26 2020 On a conjectured \(q\)-congruence of Guo and Zeng. Zbl 1428.11041Ni, He-Xia; Pan, Hao 26 2018 Some families of permutation polynomials over finite fields. Zbl 1204.11180Zieve, Michael E. 25 2008 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 1273.11012Ramakrishnan, B.; Sahu, Brundaban 25 2013 Congruences satisfied by Apéry-like numbers. Zbl 1303.11009Chan, Heng Huat; Cooper, Shaun; Sica, Francesco 25 2010 Asymptotic behaviour of the smallest eigenvalue of matrices associated with completely even functions. Zbl 1273.11052Hong, Shaofang; Loewy, Raphael 25 2011 New congruences for Andrews’ singular overpartitions. Zbl 1391.11143Ahmed, Zakir; Baruah, Nayandeep Deka 25 2015 Hypergeometric zeta functions. Zbl 1245.11098Hassen, Abdul; Nguyen, Hieu D. 24 2010 A polynomial analogue to the Stern sequence. Zbl 1117.11017Dilcher, Karl; Stolarsky, Kenneth B. 24 2007 On the \(q\)-derivative and \(q\)-series expansions. Zbl 1284.05040Liu, Zhi-Guo 24 2013 Certain values of Gaussian hypergeometric series and a family of algebraic curves. Zbl 1266.11076Barman, Rupam; Kalita, Gautam 23 2012 A general relation between sums of squares and sums of triangular numbers. Zbl 1137.11309Adiga, Chandrashekar; Cooper, Shaun; Han, Jung Hun 23 2005 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 1157.11004Hbaib, M.; Mkaouar, M. 22 2006 Arithmetic properties of \(l\)-regular overpartitions. Zbl 1337.05010Shen, Erin Y. Y. 22 2016 Infinite series with harmonic numbers and central binomial coefficients. Zbl 1191.05014Chu, Wenchang; Zheng, Deyin 21 2009 Polynomial root separation. Zbl 1205.11032Bugeaud, Yann; Mignotte, Maurice 21 2010 Hypergeometric Cauchy numbers. Zbl 1301.11030Komatsu, Takao 20 2013 Hypergeometric functions over finite fields and their relations to algebraic curves. Zbl 1287.11138Vega, M. Valentina 20 2011 Sums of squares and sums of triangular numbers induced by partitions of 8. Zbl 1156.11018Baruah, Nayandeep Deka; Cooper, Shaun; Hirschhorn, Michael 19 2008 Distribution properties of generalized van der Corput-Halton sequences and their subsequences. Zbl 1188.11038Hofer, Roswitha; Kritzer, Peter; Larcher, Gerhard; Pillichshammer, Friedrich 19 2009 A survey of Ramanujan expansions. Zbl 1222.11003Lucht, Lutz G. 19 2010 On some combinatorial identities and harmonic sums. Zbl 1376.11065Batir, Necdet 19 2017 Arithmetic identities and congruences for partition triples with 3-cores. Zbl 1346.11058Wang, Liuquan 19 2016 Vector-valued modular forms and the modular orbifold of elliptic curves. Zbl 1419.11076Candelori, Luca; Franc, Cameron 19 2017 Theta functions identities and representations by certain quaternary quadratic forms. Zbl 1163.11029Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S. 18 2008 Some congruences deducible from Ramanujan’s cubic continued fraction. Zbl 1231.11009Baruah, Nayandeep Deka; Ojah, Kanan Kumari 18 2011 Torsion points on elliptic curves with complex multiplication (With an appendix by Alex Rice). Zbl 1272.11075Clark, Pete L.; Cook, Brian; Stankewicz, James 18 2013 Generalized harmonic numbers and Euler sums. Zbl 1398.11115Chen, Kwang-Wu 18 2017 On the maximal length of consecutive zero digits of \(\beta\)-expansions. Zbl 1337.11053Tong, Xin; Yu, Yueli; Zhao, Yanfen 18 2016 On the largest prime factor of the \(k\)-Fibonacci numbers. Zbl 1292.11034Bravo, Jhon J.; Luca, Florian 17 2013 A theorem on seven-colored overpartitions and its applications. Zbl 1087.11063Lovejoy, Jeremy 17 2005 Explicit evaluation of quadratic Euler sums. Zbl 1416.11131Xu, Ce; Yang, Yingyue; Zhang, Jianwen 17 2017 A proof of Keith’s conjecture for \(9\)-regular partitions modulo \(3\). Zbl 1286.11169Xia, Ernest X. W.; Yao, Olivia X. M. 17 2014 The Burgess inequality and the least \(k\)th power non-residue. Zbl 1377.11091Treviño, Enrique 17 2015 A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform. Zbl 1395.11078McCarthy, Dermot; Papanikolas, Matthew A. 17 2015 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 1318.11002Cooper, Shaun; Ye, Dongxi 17 2014 Another generalization of Menon’s identity. Zbl 1392.11004Zhao, Xiao-Peng; Cao, Zhen-Fu 16 2017 Characterization of primes dividing the index of a trinomial. Zbl 1431.11116Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj 16 2017 Watt’s mean value theorem and Carmichael numbers. Zbl 1221.11194Harman, Glyn 16 2008 2-adic properties of certain modular forms and their applications to arithmetic functions. Zbl 1084.11014Ono, Ken; Taguchi, Yuichiro 16 2005 Special values of the polygamma functions. Zbl 1189.11039Murty, M. Ram; Saradha, N. 16 2009 On the Diophantine equation \(x^2+2^a\cdot 5^b=y^n\). Zbl 1231.11041Luca, Florian; Togbé, Alain 16 2008 Problems in additive number theory. IV: Nets in groups and shortest length \(g\)-adic representations. Zbl 1252.11007Nathanson, Melvyn B. 16 2011 On a kind of duality of multiple zeta-star values. Zbl 1221.11184Kaneko, Masanobu; Ohno, Yasuo 16 2010 Arithmetic traces of non-holomorphic modular invariants. Zbl 1245.11061Miller, Alison; Pixton, Aaron 16 2010 The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments. Zbl 1337.11065Pasten, Hector 16 2015 Fourier series of a class of eta quotients. Zbl 1252.11043Williams, Kenneth S. 15 2012 Weber’s class number problem in the cyclotomic \(\mathbb Z_{2}\)-extension of \(\mathbb Q\). III. Zbl 1226.11119Fukuda, Takashi; Komatsu, Keiichi 15 2011 Dwork’s congruences for the constant terms of powers of a Laurent polynomial. Zbl 1408.11114Mellit, Anton; Vlasenko, Masha 15 2016 Evaluation of the convolution sum \(\sum_{i+25j=n} {\sigma}(i){\sigma}(j)\). Zbl 1318.11005Xia, Ernest X. W.; Tian, X. L.; Yao, Olivia X. M. 15 2014 A \(q\)-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037Guo, Victor J. W. 15 2019 Proof of a \(q\)-congruence conjectured by Tauraso. Zbl 1467.11027Guo, Victor J. W. 15 2019 On the least quadratic non-residue. Zbl 1172.11030Lau, Yuk-Kam; Wu, Jie 14 2008 Modular forms and elliptic curves over the cubic field of discriminant \(-23\). Zbl 1277.11053Gunnells, Paul E.; Yasaki, Dan 14 2013 A short note on Fourier coefficients of half-integral weight modular forms. Zbl 1210.11054Kohnen, Winfried 14 2010 Congruences related to modular forms. Zbl 1209.11047Verrill, H. A. 14 2010 New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028Guo, Victor J. W.; Zeng, Jiang 14 2012 Gauss summation and Ramanujan-type series for \(1/\pi\). Zbl 1241.33005Liu, Zhi-Guo 14 2012 Combinatorial proof of one congruence for the broken 1-diamond partition and a generalization. Zbl 1225.11130Fu, Shishuo 14 2011 Ramanujan congruences for a class of eta quotients. Zbl 1205.11112Sinick, Jonah 14 2010 Density of two squares of primes and powers of 2. Zbl 1237.11042Liu, Zhixin; Lü, Guangshi 14 2011 Evaluation of the convolution sums \(\sum_{l+36m=n} \sigma(l)\sigma(m)\) and \(\sum_{4l+9m=n} \sigma(l)\sigma(m)\). Zbl 1390.11016Ye, Dongxi 14 2015 A further \(q\)-analogue of Van Hamme’s (H.2) supercongruence for primes \(p\equiv 3 \pmod 4\). Zbl 1478.33009Guo, Victor J. W. 14 2021 On a variant of Pillai’s problem. Zbl 1433.11035Chim, Kwok Chi; Pink, István; Ziegler, Volker 14 2017 Zeros of weakly holomorphic modular forms of level \(4\). Zbl 1286.11053Haddock, Andrew; Jenkins, Paul 14 2014 New Ramanujan type congruence modulo 7 for 4-colored generalized Frobenius partitions. Zbl 1285.05011Lin, Bernard L. S. 14 2014 Two congruences involving harmonic numbers with applications. Zbl 1408.11011Mao, Guo-Shuai; Sun, Zhi-Wei 14 2016 Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018Bayad, Abdelmejid; Beck, Matthias 14 2014 Menon-type identities concerning Dirichlet characters. Zbl 1421.11010Tóth, László 14 2018 On power basis of a class of algebraic number fields. Zbl 1357.11106Jhorar, Bablesh; Khanduja, Sudesh K. 14 2016 A survey of factorization counting functions. Zbl 1084.11003Knopfmacher, A.; Mays, M. E. 13 2005 Minimal zero-sum sequences of length four over finite cyclic groups. II. Zbl 1286.11016Li, Yuanlin; Peng, Jiangtao 13 2013 The number of representations of a positive integer by certain quaternary quadratic forms. Zbl 1221.11097Alaca, Ayşe; Alaca, Şaban; Lemire, Mathieu F.; Williams, Kenneth S. 13 2009 Identities of the Rogers-Ramanujan-Slater type. Zbl 1148.33013Sills, Andrew V. 13 2007 Multiplicative order of Gauss periods. Zbl 1201.11110Ahmadi, Omran; Shparlinski, Igor E.; Voloch, José Felipe 13 2010 Metric Diophantine approximation for systems of linear forms via dynamics. Zbl 1211.11086Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo 13 2010 Product of three primes in large arithmetic progressions. Zbl 1516.11089Balasubramanian, Ramachandran; Ramaré, Olivier; Srivastav, Priyamvad 2 2023 On the error term in the explicit formula of Riemann-von Mangoldt. Zbl 07704099Cully-Hugill, Michaela; Johnston, Daniel R. 2 2023 Divisibility of reduction in groups of rational numbers. II. Zbl 07654396Abdullah, H. O.; Mustafa, A. Ali; Pappalardi, F. 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 07654405Meisner, Patrick 1 2023 Unramified extensions of quadratic number fields with certain perfect Galois groups. Zbl 1514.12002König, Joachim 1 2023 \(k\)-Diophantine \(m\)-tuples in finite fields. Zbl 1512.11035Hammonds, Trajan; Kim, Seoyoung; Miller, Steven J.; Nigam, Arjun; Onghai, Kyle; Saikia, Dishant; Sharma, Lalit M. 1 2023 Bolytrope orders. Zbl 07682940El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima 1 2023 On the order of magnitude of Sudler products II. Zbl 07682941Grepstad, Sigrid; Neumüller, Mario; Zafeiropoulos, Agamemnon 1 2023 Proofs of two conjectural Andrews-Beck type congruences due to Lin, Peng and Toh. Zbl 07704107Du, Julia Q. D.; Tang, Dazhao 1 2023 Expected value of the smallest denominator in a random interval of fixed radius. Zbl 07704108Chen, Huayang; Haynes, Alan 1 2023 Weighted partition rank and Crank moments. III. A list of Andrews-Beck type congruences modulo \(5, 7, 11\) and \(13\). Zbl 1491.11095Chern, Shane 10 2022 On certain sums of number theory. Zbl 1502.11100Bordellès, Olivier 4 2022 Mordell-Weil ranks and Tate-Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions. Zbl 1497.11272Lei, Antonio; Lim, Meng Fai 4 2022 The Ru-Vojta result for subvarieties. Zbl 1483.14043Ru, Min; Wang, Julie Tzu-Yueh 3 2022 The number of representations of squares by integral quaternary quadratic forms. Zbl 1493.11079Kim, Kyoungmin 2 2022 The second moment of \(S_n(t)\) on the Riemann hypothesis. Zbl 1489.11117Chirre, Andrés; Quesada-Herrera, Oscar E. 2 2022 The smallest parts function associated with \(\omega(q)\). Zbl 07572779Wang, Liuquan; Yang, Yifan 2 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 1493.11076Dofs, Erik; Nguyen Xuan Tho 2 2022 Quadratic points on non-split Cartan modular curves. Zbl 1497.11153Michaud-Rodgers, Philippe 2 2022 On the divisibility among power GCD and power LCM matrices on gcd-closed sets. Zbl 1496.11047Zhu, Guangyan 2 2022 Theta series for quadratic forms of signature \((n-1,1)\) with (spherical) polynomials. Zbl 1506.11065Roehrig, Christina; Zwegers, Sander 2 2022 Constructing totally \(p\)-adic numbers of small height. Zbl 1493.11102Checcoli, S.; Fehm, A. 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 1497.11217Jarossay, David 1 2022 A Diophantine equation inspired by Brahmagupta’s identity. Zbl 1496.11052Choudhry, Ajai; Bluskov, Iliya; James, Alexander 1 2022 Hyperelliptic curves with many automorphisms. Zbl 07536477Müller, Nicolas; Pink, Richard 1 2022 Lambert series associated to Hilbert modular form. Zbl 1499.11201Agnihotri, Rishabh 1 2022 Computing base extensions of ordinary abelian varieties over finite fields. Zbl 1492.14080Marseglia, Stefano 1 2022 On the weighted average number of subgroups of \(\mathbb{Z}_m\times \mathbb{Z}_n\) with \(mn\leq x\). Zbl 1507.11087Kiuchi, Isao; Saad Eddin, Sumaia 1 2022 Minimal excludant over partitions into distinct parts. Zbl 1498.11206Kaur, Prabh Simrat; Bhoria, Subhash Chand; Eyyunni, Pramod; Maji, Bibekananda 1 2022 On the divisibility of the rank of appearance of a Lucas sequence. Zbl 1501.11030Sanna, Carlo 1 2022 On approximation by random Lüroth expansions. Zbl 1495.11093Kalle, Charlene; Maggioni, Marta 1 2022 A note on prime number races and zero free regions for \(L\) functions. Zbl 1492.11123Aymone, Marco 1 2022 On restricted divisor sums associated to the Chowla-Walum conjecture. Zbl 1492.11138Bordellès, Olivier 1 2022 Projective toric codes. Zbl 07468307Nardi, Jade 1 2022 The generalized Catalan equation in positive characteristic. Zbl 1500.11030Koymans, Peter 1 2022 Integer dynamics. Zbl 1490.11014Lorenzini, Dino; Melistas, Mentzelos; Suresh, Arvind; Suwama, Makoto; Wang, Haiyang 1 2022 Exceptional sets related to the largest digits in Lüroth expansions. Zbl 1506.28007Lin, Shuyi; Li, Jinjun; Lou, Manli 1 2022 On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility. Zbl 1500.11050Dvornicich, Roberto; Paladino, Laura 1 2022 On primary pseudo-polynomials (around Ruzsa’s conjecture). Zbl 1500.11022Delaygue, É.; Rivoal, T. 1 2022 Chebyshev polynomials and Galois groups of de Moivre polynomials. Zbl 1500.11078Girstmair, Kurt 1 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 1495.11044Mc Laughlin, James; Zimmer, Peter 1 2022 A further \(q\)-analogue of Van Hamme’s (H.2) supercongruence for primes \(p\equiv 3 \pmod 4\). Zbl 1478.33009Guo, Victor J. W. 14 2021 On monogenity of certain pure number fields defined by \(x^{p^r}-m\). Zbl 1483.11236Ben Yakkou, Hamid; El Fadil, Lhoussain 13 2021 The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200Andrews, George Eyre 10 2021 Combinatorial proof of the minimal excludant theorem. Zbl 1494.11080Ballantine, Cristina; Merca, Mircea 6 2021 On the sum of parts with multiplicity at least \(2\) in all the partitions of \(n\). Zbl 1470.11265Merca, Mircea; Yee, Ae Ja 5 2021 The degree of Kummer extensions of number fields. Zbl 1476.11135Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano 5 2021 A new subconvex bound for \(\mathrm{GL}(3)\) \(L\)-functions in the \(t\)-aspect. Zbl 1478.11072Aggarwal, Keshav 5 2021 Dimension theory of the product of partial quotients in Lüroth expansions. Zbl 1469.11256Tan, Bo; Zhou, Qinglong 5 2021 Some relations deduced from regularized double shuffle relations of multiple zeta values. Zbl 1483.11186Li, Zhonghua; Qin, Chen 5 2021 Irreducibility of \(\bmod p\) Galois representations of elliptic curves with multiplicative reduction over number fields. Zbl 1477.11109Najman, Filip; Ţurcaş, George C. 4 2021 A sum of three nonzero triangular numbers. Zbl 1482.11060Kim, Daejun; Lee, Jeongwon; Oh, Byeong-Kweon 3 2021 Mock modular Eisenstein series with Nebentypus. Zbl 1471.11136Mertens, Michael H.; Ono, Ken; Rolen, Larry 3 2021 Deformations of certain reducible Galois representations. III. Zbl 1479.11089Ray, Anwesh 3 2021 Proof of a rational Ramanujan-type series for \(1/\pi\). The fastest one in level 3. Zbl 1461.33009Guillera, Jesús 3 2021 Polynomials and reciprocals of Eisenstein series. Zbl 1468.11104Heim, Bernhard; Neuhauser, Markus 3 2021 Cubic function fields with prescribed ramification. Zbl 1491.11100Karemaker, Valentijn; Marques, Sophie; Sijsling, Jeroen 2 2021 Towards the Sato-Tate groups of trinomial hyperelliptic curves. Zbl 1474.11121Emory, Melissa; Goodson, Heidi; Peyrot, Alexandre 2 2021 On Pillai’s problem with \(X\)-coordinates of Pell equations and powers of 2. II. Zbl 1493.11074Erazo, Harold S.; Gómez, Carlos A.; Luca, Florian 2 2021 Log-concavity results for a biparametric and an elliptic extension of the \(q\)-binomial coefficients. Zbl 1465.05019Schlosser, Michael J.; Senapati, Koushik; Uncu, Ali K. 2 2021 Analysis and combinatorics of partition zeta functions. Zbl 1478.11123Schneider, Robert; Sills, Andrew V. 2 2021 Automatic discovery of irrationality proofs and irrationality measures. Zbl 1468.11160Zeilberger, Doron; Zudilin, Wadim 2 2021 Analogues of the Robin-Lagarias criteria for the Riemann hypothesis. Zbl 1472.11236Washington, Lawrence C.; Yang, Ambrose 2 2021 On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}(\sqrt{pq})\) and the \(2\)-part of the class number of \(\mathbb{Q}(\sqrt{pq},\sqrt{2+\sqrt{2}})\). Zbl 1468.11224Kumakawa, Naoki 2 2021 Conjugates of Pisot numbers. Zbl 1489.11108Hare, Kevin G.; Sidorov, Nikita 2 2021 On a family of mild functions. Zbl 1468.14101Van Hille, Siegfried 2 2021 Oscillations in weighted arithmetic sums. Zbl 1473.11167Mossinghoff, Michael J.; Trudgian, Timothy S. 2 2021 Non-openness of v-adic Galois representation for a-motives. Zbl 1480.11074Frantzen, Maike Ella Elisabeth 2 2021 A semi-canonical reduction for periods of Kontsevich-Zagier. Zbl 1467.14040Viu-Sos, Juan 2 2021 Recursion formulas for poly-Bernoulli numbers and their applications. Zbl 1478.11028Ohno, Yasuo; Sasaki, Yoshitaka 2 2021 On the sum of fourth powers in arithmetic progression. Zbl 1475.11051van Langen, Joey M. 2 2021 Combinatorics of two second-order mock theta functions. Zbl 1466.11074Burson, Hannah 2 2021 2-class groups of cyclotomic towers of imaginary biquadratic fields and applications. Zbl 1482.11148Chems-Eddin, Mohamed Mahmoud; Müller, Katharina 1 2021 A lower bound for the Hausdorff dimension of the set of weighted simultaneously approximable points over manifolds. Zbl 1477.11140Beresnevich, Victor; Levesley, Jason; Ward, Ben 1 2021 The sum of a prime and a Fibonacci number. Zbl 1470.11254Liu, Zhixin; Xue, Mengyuan 1 2021 On factorizations into coprime parts. Zbl 1485.11141Just, Matthew; Lebowitz-Lockard, Noah 1 2021 Structural properties of multiple zeta values. Zbl 1485.11135Wakhare, Tanay; Vignat, Christophe 1 2021 Location of the zeros of certain cuspforms. Zbl 1483.11071Xue, Hui; Zhu, Daozhou 1 2021 On the l.c.m. of shifted Fibonacci numbers. Zbl 1484.11060Sanna, Carlo 1 2021 Cesàro averages for Goldbach representations with summands in arithmetic progressions. Zbl 1483.11218Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro 1 2021 Restricted \(k\)-color partitions. II. Zbl 1465.05013Keith, William J. 1 2021 Holonomic relations for modular functions and forms: first guess, then prove. Zbl 1475.11065Paule, Peter; Radu, Cristian-Silviu 1 2021 The proportion of genus one curves over \(\mathbb{Q}\) defined by a binary quartic that everywhere locally have a point. Zbl 1484.11133Bhargava, Manjul; Cremona, John; Fisher, Tom 1 2021 Bielliptic smooth plane curves and quadratic points. Zbl 1484.14063Badr, Eslam; Bars, Francesc 1 2021 Fields generated by finite rank subgroups of \(\overline{\mathbb{Q}}^\ast \). Zbl 1482.11092Pottmeyer, Lukas 1 2021 Convolutions on the complex torus. Zbl 1468.81096Leitner, Marianne 1 2021 Adelic Voronoï summation and subconvexity for \(\mathrm{GL}(2)\) \(L\)-functions in the depth aspect. Zbl 1480.11057Assing, Edgar 1 2021 Congruences of local origin and automorphic induction. Zbl 1480.11052Dummigan, Neil; Spencer, David 1 2021 On the relative Galois structure of powers of the different and Stickelberger ideals. (Sur la structure galoisienne relative de puissances de la différente et idéaux de Stickelberger.) Zbl 1482.11151Sodaïgui, Bouchaïb 1 2021 Higher-dimensional gap theorems for the maximum metric. Zbl 1483.11143Haynes, Alan; Ramirez, Juan J. 1 2021 The \(2\)-adic analysis of Stirling numbers of the second kind via higher order Bernoulli numbers and polynomials. Zbl 1481.11024Adelberg, Arnold 1 2021 A mock theta function identity related to the partition rank modulo \(3\) and \(9\). Zbl 1478.11118Chan, Song Heng; Hong, Nankun; Jerry; Lovejoy, Jeremy 1 2021 Hankel determinants of linear combinations of moments of orthogonal polynomials. Zbl 1471.11119Cigler, Johann; Krattenthaler, Christian Friedrich 1 2021 Polynomial analogues of restricted multicolor \(b\)-ary partition functions. Zbl 1466.11070Dilcher, Karl; Ericksen, Larry 1 2021 On Hurwitz zeta function and Lommel functions. Zbl 1468.11171Dixit, Atul; Kumar, Rahul 1 2021 An inequality between finite analogues of rank and crank moments. Zbl 1467.11086Eyyunni, Pramod; Maji, Bibekananda; Sood, Garima 1 2021 Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms. Zbl 1470.11098Folsom, Amanda 1 2021 A twisted generalization of the classical Dedekind sum. Zbl 1469.11259Isaacson, Brad 1 2021 A \(q\)-analogue of the (A.2) supercongruence of Van Hamme for any prime \(p\equiv 3(\mathrm{mod}4)\). Zbl 1469.11006Wang, Xiaoxia; Yue, Mingbing 26 2020 Mahler coefficients of \(1\)-Lipschitz measure-preserving functions on \(\mathbb{Z}_p\). Zbl 1455.11160Memić, Nacima 6 2020 ...and 1295 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,241 Authors 54 Guo, Victor J. W. 54 Shparlinski, Igor E. 39 Barman, Rupam 39 Xia, Ernest X. W. 35 Luca, Florian 34 Yao, Olivia Xiang Mei 30 Wang, Liuquan 28 Murty, Maruti Ram 27 Chern, Shane 27 Kim, Byungchan 27 Mahadeva Naika, Megadahalli Sidda 26 Baruah, Nayandeep Deka 25 Chu, Wenchang 24 Bringmann, Kathrin 23 Komatsu, Takao 23 Pollack, Paul 23 Xu, Ce 21 Lin, Bernard L. S. 21 Sun, Zhihong 20 Tang, Dazhao 20 Zaharescu, Alexandru 19 Eie, Minking 19 Hong, Shaofang 19 Sun, Zhi-Wei 18 Jones, Lenny K. 18 Mao, Renrong 17 Meher, Jaban 17 Osburn, Robert 17 Togbé, Alain 17 Tóth, László 16 Azizi, Abdelmalek 16 Dilcher, Karl 16 Kim, Chang Heon 16 Kim, Daeyeoul 16 Lim, Meng Fai 16 Sanna, Carlo 16 Zudilin, Wadim 15 Alaca, Ayşe 15 Alkan, Emre 15 El Fadil, Lhoussain 15 Gun, Sanoli 15 Kalita, Gautam 15 Liu, Jicai 15 Lovejoy, Jeremy 15 Mao, Guo-Shuai 15 Tauraso, Roberto 15 Toh, Pee Choon 14 Alaca, Şaban 14 Cooper, Shaun 14 Gómez, Carlos Alexis 14 Lei, Antonio 14 Merca, Mircea 14 Pan, Hao 14 Saikia, Neelam 14 Sha, Min 14 Sofo, Anthony 14 Wang, Xiaoxia 14 Wei, Chuanan 14 Williams, Kenneth S. 13 Dubickas, Artūras 13 Jakhar, Anuj 13 Korolëv, Maksim Aleksandrovich 13 Pomerance, Carl Bernard 13 Sellers, James Allen 13 Shkredov, Il’ya Dmitrievich 13 Soydan, Gokhan 13 Wu, Jie 12 Chen, Kwang-Wu 12 Gao, Weidong 12 Jennings-Shaffer, Chris 12 Kohnen, Winfried 12 Sahu, Brundaban 12 Yee, Ae Ja 12 Yuan, Pingzhi 11 Aygin, Zafer Selçuk 11 Choi, Soyoung 11 Clark, Peter Louis 11 Dixit, Atul 11 Fukshansky, Lenny 11 Girstmair, Kurt 11 Gras, Georges 11 Hirschhorn, Michael D. 11 Jeon, Daeyeol 11 Li, Yuanlin 11 Mason, Geoffrey 11 O’Sullivan, Cormac 11 Saikia, Nipen 11 Straub, Armin 11 Thuswaldner, Jörg Maximilian 11 Vignat, Christophe 11 Ye, Dongxi 11 Zhai, Wenguang 10 Arenas-Carmona, Luis 10 Bandini, Andrea 10 Bayad, Abdelmejid 10 Das, Soumya 10 Franc, Cameron 10 Garaev, Moubariz Z. 10 Garvan, Frank G. 10 Hamahata, Yoshinori ...and 4,141 more Authors all top 5 Cited in 408 Journals 566 Journal of Number Theory 553 International Journal of Number Theory 339 The Ramanujan Journal 119 Acta Arithmetica 113 Proceedings of the American Mathematical Society 92 Research in Number Theory 90 Journal of Mathematical Analysis and Applications 88 Bulletin of the Australian Mathematical Society 77 Finite Fields and their Applications 76 Integers 72 Transactions of the American Mathematical Society 71 Journal de Théorie des Nombres de Bordeaux 66 Functiones et Approximatio. Commentarii Mathematici 59 Advances in Mathematics 56 Monatshefte für Mathematik 55 Mathematische Zeitschrift 54 Discrete Mathematics 53 Rocky Mountain Journal of Mathematics 53 Mathematics of Computation 45 Mathematical Proceedings of the Cambridge Philosophical Society 44 Periodica Mathematica Hungarica 43 Journal of Combinatorial Theory. Series A 41 Mathematische Annalen 41 Mathematika 40 Archiv der Mathematik 40 Research in the Mathematical Sciences 39 Advances in Applied Mathematics 36 Results in Mathematics 36 Algebra & Number Theory 35 Indian Journal of Pure & Applied Mathematics 35 Journal of Algebra 33 Acta Mathematica Hungarica 29 Manuscripta Mathematica 28 Compositio Mathematica 28 Journal of the Ramanujan Mathematical Society 27 Turkish Journal of Mathematics 27 The Electronic Journal of Combinatorics 27 Annals of Combinatorics 26 AIMS Mathematics 25 Forum Mathematicum 25 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 24 Journal of Difference Equations and Applications 23 Journal of Integer Sequences 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Journal of the London Mathematical Society. Second Series 22 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 21 Journal of the Australian Mathematical Society 20 Lithuanian Mathematical Journal 20 Open Mathematics 19 Indagationes Mathematicae. New Series 19 Integral Transforms and Special Functions 18 Colloquium Mathematicum 18 Experimental Mathematics 17 Mathematical Notes 17 Bulletin of the London Mathematical Society 17 Czechoslovak Mathematical Journal 17 Quaestiones Mathematicae 17 Acta Mathematica Sinica. English Series 17 Journal of High Energy Physics 17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 16 Israel Journal of Mathematics 16 Duke Mathematical Journal 16 Journal für die Reine und Angewandte Mathematik 16 European Journal of Combinatorics 15 Canadian Mathematical Bulletin 15 Linear Algebra and its Applications 15 Taiwanese Journal of Mathematics 15 JP Journal of Algebra, Number Theory and Applications 15 Journal of Algebra and its Applications 15 Annales Mathématiques du Québec 14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 14 Tokyo Journal of Mathematics 14 Documenta Mathematica 13 Communications in Algebra 13 Annales de l’Institut Fourier 13 Glasgow Mathematical Journal 13 Proceedings of the Japan Academy. Series A 12 Expositiones Mathematicae 12 Boletín de la Sociedad Matemática Mexicana. Third Series 12 Proceedings of the Steklov Institute of Mathematics 11 Inventiones Mathematicae 11 Journal of the Korean Mathematical Society 11 Journal of Pure and Applied Algebra 11 Mathematica Slovaca 11 Pacific Journal of Mathematics 11 Fractals 11 Journal of Inequalities and Applications 11 Journal of the European Mathematical Society (JEMS) 11 Mediterranean Journal of Mathematics 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Afrika Matematika 10 Memoirs of the American Mathematical Society 10 Proceedings of the London Mathematical Society. Third Series 10 Journal of the Institute of Mathematics of Jussieu 10 Science China. Mathematics 10 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 9 Linear and Multilinear Algebra 9 Journal of the Mathematical Society of Japan 9 Bulletin of the Korean Mathematical Society 9 International Journal of Mathematics ...and 308 more Journals all top 5 Cited in 56 Fields 4,822 Number theory (11-XX) 836 Combinatorics (05-XX) 478 Special functions (33-XX) 369 Algebraic geometry (14-XX) 177 Group theory and generalizations (20-XX) 143 Dynamical systems and ergodic theory (37-XX) 135 Field theory and polynomials (12-XX) 79 Functions of a complex variable (30-XX) 72 Measure and integration (28-XX) 71 Topological groups, Lie groups (22-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 66 Probability theory and stochastic processes (60-XX) 66 Information and communication theory, circuits (94-XX) 65 Commutative algebra (13-XX) 48 Computer science (68-XX) 43 Associative rings and algebras (16-XX) 40 Numerical analysis (65-XX) 35 Quantum theory (81-XX) 34 Sequences, series, summability (40-XX) 33 Real functions (26-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 28 Nonassociative rings and algebras (17-XX) 28 Difference and functional equations (39-XX) 27 Convex and discrete geometry (52-XX) 26 Several complex variables and analytic spaces (32-XX) 23 Approximations and expansions (41-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Ordinary differential equations (34-XX) 18 \(K\)-theory (19-XX) 18 Integral transforms, operational calculus (44-XX) 18 Manifolds and cell complexes (57-XX) 17 Geometry (51-XX) 15 Mathematical logic and foundations (03-XX) 15 Functional analysis (46-XX) 13 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Operator theory (47-XX) 9 Partial differential equations (35-XX) 8 General topology (54-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Category theory; homological algebra (18-XX) 7 Relativity and gravitational theory (83-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Mathematics education (97-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year