Hardy-Ramanujan JournalA Journal devoted to Primes, Diophantine Equations, Transcendental Numbers and other Questions Short Title: Hardy-Ramanujan J. Publisher: Hardy-Ramanujan Society, [s.l.] ISSN: 2804-7370/e Online: http://hrj.episciences.org/browse/volumeshttp://www.imsc.res.in/~balu/Hrj/book Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 34-35(2011-2012) (2013). Print-ISSN until then: 0960-1295. This journal is available open access. Documents Indexed: 213 Publications (since 1978) all top 5 Latest Issues 46 (2023) 45 (2022) 44 (2021) 43 (2020) 42 (2019) 41 (2018) 40 (2017) 39 (2016) 38 (2016) 37 (2015) 36 (2013) 34-35 (2013) 33 (2010) 32 (2009) 31 (2008) 30 (2007) 29 (2006) 28 (2005) 27 (2004) 26 (2003) 25 (2002) 24 (2001) 23 (2000) 22 (1999) 21 (1998) 20 (1997) 19 (1996) 18 (1995) 17 (1994) 16 (1993) 15 (1992) 14 (1991) 13 (1990) 12 (1989) 11 (1988) 10 (1987) 9 (1986) 8 (1985) 7 (1984) 6 (1983) 5 (1982) 4, Suppl. (1981) 4 (1981) 3 (1980) 2 (1979) 1 (1978) all top 5 Authors 44 Ramachandra, Kanakanahalli 23 Balasubramanian, Ramachandran 13 Sankaranarayanan, Ayyadurai 10 Kanemitsu, Shigeru 9 Murty, Maruti Ram 6 Kuzumaki, Takako 5 Hooley, Christopher 5 Ivić, Aleksandar 5 Srinivas, Kotyada 5 Tanigawa, Yoshio 4 Chakraborty, Kalyan 4 Shorey, Tarlok Nath 4 Waldschmidt, Michel 3 Berndt, Bruce Carl 3 Jutila, Matti Ilmari 3 Laishram, Shanta 3 Lou, Shituo 3 Ono, Ken 3 Tsukada, Haruo 3 Yao, Qi 2 Aravinda, C. S. 2 Bhat, Kishor G. 2 Bundschuh, Peter 2 Chahal, Jasbir Singh 2 Choudhry, Ajai 2 Coppola, Giovanni 2 Deshouillers, Jean-Marc 2 Dixit, Anup B. 2 Dixit, Atul 2 Erdős, Pál 2 Flicker, Yuval Z. 2 Halbeisen, Lorenz J. 2 Hungerbuhler, Norbert 2 Kathiravan, T. 2 Luca, Florian 2 Montgomery, Hugh Lowell 2 Nair, Saranya G. 2 Narlikar, M. J. 2 Sangale, Usha Keshav 2 Schinzel, Andrzej 2 Singh, Saurabh Kumar 2 Sitaraman, Sankar 2 Soundararajan, Kannan 2 Tijdeman, Robert 2 Ushiroya, Noboru 2 Yoshimoto, Masami 1 Abinash, Sarma 1 Adhikari, Sukumar Das 1 Agarwal, Praveen 1 Aggarwal, Keshav 1 Allen, Martha 1 Amdeberhan, Tewodros 1 Anderson, Laura 1 Andersson, Johan 1 Andrews, George Eyre 1 Ayad, Mohamed 1 Bandyopadhyay, Shreejit 1 Banerjee, Kalyan 1 Banks, William David 1 Baruah, Nayandeep Deka 1 Bayad, Abdelmejid 1 Bhand, Ajit 1 Biswas, Arunabha 1 Bondarenko, Andriy V. 1 Borozenets, Nikolay E. 1 Boyadzhiev, Khristo N. 1 Bugeaud, Yann 1 Byungchan, Kim 1 Champagne, Jérémy 1 Chattopadhyay, Jaitra 1 Chen, Dandan 1 Chen, Rong 1 Chim, Kwok Chi 1 Cho, Hyunsoo 1 Choudry, Ajai 1 Chowla, Paromita 1 Chowla, Sarvadaman 1 Das, Hirakjyoti 1 Duncan, Adriana L. 1 Filaseta, Michael A. 1 Gao, Peng 1 Garaev, Moubariz Z. 1 Garvan, Frank G. 1 Gopalkrishna Gadiyar, H. 1 Griffin, Michael J. 1 Hayan, Nam 1 Heath-Brown, Roger 1 Hernane, Mohand-Ouamar 1 Hoque, Azizul 1 Javtokas, Algirdas 1 Jo, Yeong Seong 1 Kang, Soon-Yi 1 Kaur, Amrinder 1 Kihel, Omar 1 Kim, Byungchan 1 Kim, Young Hyuen 1 Kohnen, Winfried 1 Kumar, Murty V. 1 Kumar, Rahul 1 Kumar, Veekesh ...and 70 more Authors all top 5 Fields 189 Number theory (11-XX) 33 History and biography (01-XX) 15 Combinatorics (05-XX) 14 Special functions (33-XX) 5 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 325 times in 276 Documents Cited by ▼ Year ▼ Some remarks on the mean value of the Riemann zeta-function and other Dirichlet series. I. Zbl 0411.10013 Ramachandra, K. 22 1978 On the frequency of Titchmarsh’s phenomenon for \(\zeta (s)\). IV. Zbl 0662.10030 Balasubramanian, R. 15 1986 Some remarks on the mean value of the Riemann zeta-function and other Dirichlet series. II. Zbl 0426.10046 Ramachandra, K. 15 1980 Ramanujan series for arithmetical functions. Zbl 1344.11006 Murty, M. Ram 15 2013 On the periodic Hurwitz zeta-function. Zbl 1127.11059 Javtokas, A.; Laurinčikas, A. 13 2006 Some remarks on the mean value of the Riemann zeta-function and other Dirichlet series. II. Zbl 0411.10014 Ramachandra, K. 11 1980 On Pillai’s problem with Pell numbers and powers of 2. Zbl 1448.11042 Ouamar Hernane, Mohand; Luca, Florian; Rihane, Salah; Togbé, Alain 10 2018 A remark on cube-free numbers in Segal-Piatestki-Shapiro sequences. Zbl 1448.11055 Deshouillers, Jean-Marc 10 2018 Rational triangles with the same perimeter and the same area. Zbl 1157.11010 Choudry, Ajai 6 2007 Some problems of analytic number theory. III. Zbl 0483.10038 Balasubramanian, R.; Ramachandra, K. 6 1981 Ideal solutions of the Tarry-Escott problem of degree eleven with applications to sums of thirteenth powers. Zbl 1335.11028 Choudhry, Ajai; Wroblewski, Jaroslaw 6 2008 On mean value results for the Riemann zeta-function in short intervals. Zbl 1221.11177 Ivić, Aleksandar 6 2009 On n numbers on a circle. Zbl 0665.10010 Misiurewicz, M.; Schinzel, A. 5 1988 The number of imaginary quadratic fields with a given class number. Zbl 1151.11053 Soundararajan, K. 5 2007 On the Barban-Davenport-Halberstam theorem. X. Zbl 0957.11038 Hooley, C. 5 1998 On the values of the Riemann zeta-function at rational arguments. Zbl 0992.11052 Kanemitsu, S.; Tanigawa, Y.; Yoshimoto, M. 5 2001 On an exponential sum involving the Möbius function. Zbl 1115.11053 Maier, H.; Sankaranarayanan, A. 5 2005 A Chebyshev’s type of prime number theorem in a short interval. II. Zbl 0780.11039 Lou, Shituo; Yao, Qi 5 1992 Is the binomial coefficient \({2n}\choose n\) squarefree? Zbl 0817.11011 Velammal, G. 5 1995 Carmichael numbers with three prime factors. Zbl 1151.11047 Heath-Brown, D. R. 4 2007 Contributions to the theory of the Hurwitz zeta-function. Zbl 1157.11036 Kanemitsu, S.; Tanigawa, Y.; Tsukada, H.; Yoshimoto, M. 4 2007 On Waring’s problem: \(g(4)\leq 20\). Zbl 0604.10027 Balasubramanian, R. 4 1985 On totally reducible binary forms. II. Zbl 1022.11046 Hooley, C. 4 2002 Alternating Euler sums at the negative integers. Zbl 1194.11090 Boyadzhiev, Khristo N.; Gopalkrishna Gadiyar, H.; Padma, R. 4 2009 Power partitions and a generalized eta transformation property. Zbl 1503.11134 Zagier, Don 4 2021 Class numbers of quadratic fields. Zbl 1478.11135 Bhand, Ajit; Murty, M. Ram 4 2019 Partition-theoretic formulas for arithmetic densities. II. Zbl 1471.05011 Ono, Ken; Schneider, Robert; Wagner, Ian 4 2020 Ramanujan’s lattice point problem, prime number theory and other remarks. Zbl 0824.11061 Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 3 1996 Further variations on the six exponentials theorem. Zbl 1116.11054 Waldschmidt, Michel 3 2005 A lower bound concerning subsets sums which do not cover all the residues modulo \(p\). Zbl 1222.11037 Deshouillers, Jean-Marc 3 2005 One inequality involving simple zeros of \(\zeta(s)\). Zbl 1079.11043 Garaev, M. Z. 3 2003 Effective irrationality measures for quotients of logarithms of rational numbers. Zbl 1408.11072 Bugeaud, Yann 3 2016 Sieve functions in arithmetic bands. Zbl 1419.11114 Coppola, Giovanni; Laporta, Maurizio 3 2016 Some diophantine problems concerning equal sums of integers and their cubes. Zbl 1223.11033 Choudhry, Ajai 3 2010 A localized Erdős-Kac theorem. Zbl 1480.11114 Dixit, Anup B.; Murty, M. Ram 3 2020 A heuristic guide to evaluating triple-sums. Zbl 1493.11045 Mortenson, Eric T. 3 2020 On the Riesz means of \(\frac{n}{\varphi(n)}\). Zbl 1358.11108 Sankaranarayanan, A.; Singh, Saurabh Kumar 3 2013 A theorem of Fermat on congruent number curves. Zbl 1440.11094 Halbeisen, Lorenz; Hungerbühler, Norbert 3 2018 Hybrid mean square of L-functions. Zbl 0661.10054 Narlikar, M. J. 2 1986 The number of finite non-isomorphic abelian groups in mean square. Zbl 0666.10027 Ivić, Aleksandar 2 1986 On sets of coprime integers in intervals. Zbl 0776.11011 Erdős, Paul; Sárközy, A. 2 1993 On the Barban-Davenport Halberstam theorem. XIX. Zbl 1163.11064 Hooley, C. 2 2007 On generalized Carmichael numbers. Zbl 1002.11006 Halbeisen, L.; Hungerbühler, N. 2 1999 Proof of some conjectures on the mean-value of Titchmarsh series. I. Zbl 0733.11027 Balasubramanian, R.; Ramachandra, K. 2 1990 Proof of some conjectures on the mean-value of Titchmarsh series. II. Zbl 0736.11044 Balasubramanian, R.; Ramachandra, K. 2 1991 On Waring’s problem: \(g(4)\leq 21\). Zbl 0422.10045 Balasubramanian, R. 2 1979 On congruences for certain sums of E. Lehmer’s type. Zbl 1408.11012 Kanemitsu, Shigeru; Kuzumaki, Takako; Urbanowicz, Jerzy 2 2016 Algebraic independence results on the generating Lambert series of the powers of a fixed integer. Zbl 1378.11078 Bundschuh, Peter; Väänänen, Keijo 2 2016 Arithmetical investigations of particular Wynn power series. Zbl 1335.11058 Bundschuh, Peter 2 2008 Ramanujan-Fourier series of certain arithmetic functions of two variables. Zbl 1417.11004 Ushiroya, Noboru 2 2016 On the Mellin transforms of powers of Hardy’s functions. Zbl 1200.11062 Ivić, Aleksandar 2 2010 Finite expressions for higher derivatives of the Dirichlet \(L\)-function and the Deninger \(R\)-function. Zbl 1203.11057 Chakraborty, K.; Kanemitsu, S.; Kuzumaki, T. 2 2009 Generating functions and congruences for 9-regular and 27-regular partitions in 3 colours. Zbl 1483.11231 Baruah, Nayandeep Deka; Das, Hirakjyoti 2 2021 The last chapter of the Disquisitiones of Gauss. Zbl 1479.11003 Anderson, Laura; Chahal, Jasbir S.; Top, Jaap 2 2021 Bounds for \(d\)-distinct partitions. Zbl 1469.11405 Kang, Soon-Yi; Kim, Young Hyuen 2 2020 Distribution of generalized mex-related integer partitions. Zbl 1469.11407 Chakraborty, Kalyan; Ray, Chiranjit 2 2020 One level density of low-lying zeros of quadratic Hecke \(L\)-functions to prime moduli. Zbl 1480.11105 Gao, Peng; Zhao, Liangyi 2 2020 On the class number formula of certain real quadratic fields. Zbl 1294.11198 Chakraborty, K.; Kanemitsu, S.; Kuzumaki, T. 2 2013 On certain sums over ordinates of zeta-zeros. II. Zbl 1447.11092 Bondarenko, Andriy; Ivić, Aleksandar; Saksman, Eero; Seip, Kristian 2 2018 Hybrid level aspect subconvexity for \(\mathrm{GL}(2)\times \mathrm{GL}(1)\) Rankin-Selberg \(L\)-functions. Zbl 1440.11052 Aggarwal, Keshav; Jo, Yeongseong; Nowland, Kevin 2 2018 Some local-convexity theorems for the zeta-function-like analytic functions. Zbl 0663.10042 Balasubramanian, R.; Ramachandra, K. 1 1988 An \(\Omega\)-result related to \(r_ 4(n)\). Zbl 0681.10028 Adhikari, Sukumar Das; Balasubramanian, R.; Sankaranarayanan, A. 1 1989 The number of primes in a short interval. Zbl 0777.11032 Lou, Shituo; Yao, Qi 1 1993 Progress towards a conjecture on the mean-value of Titchmarsh series. II. Zbl 0483.10039 Ramachandra, K. 1 1981 On a question of Ramachandra. Zbl 0515.10041 Montgomery, Hugh L. 1 1982 Mean-value of the Riemann zeta-function and other remarks. III. Zbl 0522.10026 Ramachandra, K. 1 1983 Notes on the Riemann zeta-function. III. Zbl 0960.11040 Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 1999 Dual Ramanujan-Fourier series. Zbl 1435.11011 Ushiroya, Noboru 1 2017 On the Riesz means of \(\delta_k(n)\). Zbl 1434.11014 Singh, Saurabh Kumar 1 2017 Notes on the Riemann zeta-function. V. Zbl 0998.11046 Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 2000 Hardy-Littlewood first approximation theorem for quasi \(L\)-functions. Zbl 1222.11104 Balasubramanian, R.; Ramachandra, K. 1 2004 Mean square of the Hurwitz zeta-function and other remarks. Zbl 1113.11054 Balasubramanian, R.; Ramachandra, K. 1 2004 A generalization of Bochner’s formula. Zbl 1124.11043 Kanemitsu, S.; Tanigawa, Y.; Tsukada, H. 1 2004 On the equation a \((x^ m-1)/(x-1)=b(y^ n-1)/(y-1)\). II. Zbl 0575.10011 Shorey, T. N. 1 1984 Mean-square upper bound of Hecke \(L\)-functions on the critical line. Zbl 1075.11041 Sankaranarayanan, A. 1 2003 Proof of some conjectures on the mean-value of Titchmarsh series with applications to Titchmarsh’s phenomenon. Zbl 0733.11028 Ramachandra, K. 1 1990 On the frequency of Titchmarsh’s phenomenon for \(\zeta(s)\). IX. Zbl 0733.11029 Ramachandra, K. 1 1990 On the zeros of a class of generalised Dirichlet series. VIII. Zbl 0736.11045 Balasubramanian, R.; Ramachandra, K. 1 1991 On the zeros of a class of generalised Dirichlet series. IX. Zbl 0736.11046 Balasubramanian, R.; Ramachandra, K. 1 1991 On a theorem of Erdős and Szemeredi. Zbl 0431.10026 Narlikar, M. J. 1 1980 On the zeros of the Riemann zeta-function and L-series. II. Zbl 0463.10028 Balasubramanian, R.; Ramachandra, K. 1 1982 A large value theorem for \(\zeta(s)\). Zbl 0808.11050 Ramachandra, K. 1 1995 Some problems of analytic number theory. IV. Zbl 1027.11071 Balasubramanian, R.; Ramachandra, K. 1 2002 On Kronecker’s limit formula and the hypergeometric function. Zbl 1335.11074 Kanemitsu, S.; Tanigawa, Y.; Tsukada, H. 1 2008 On the Galois groups of generalized Laguerre polynomials. Zbl 1400.11146 Laishram, Shanta 1 2015 The work of K. Ramachandra in algebraic number theory. Zbl 1303.11004 Murty, M. Ram 1 2013 A variant of the Hardy-Ramanujan theorem. Zbl 1489.11143 Murty, M. Ram; Murty, V. Kumar 1 2021 Quantum \(q\)-series identities. Zbl 1505.33010 Lovejoy, Jeremy 1 2021 Partition identities for two-color partitions. Zbl 1487.05027 Andrews, George E. 1 2021 A survey on \(t\)-core partitions. Zbl 1479.11176 Cho, Hyunsoo; Byungchan, Kim; Hayan, Nam; Sohn, Jaebum 1 2021 Generating functions for certain weighted cranks. Zbl 1479.11175 Bandyopadhyay, Shreejit; Yee, Ae Ja 1 2021 A localized Erdős-Kac theorem for \(\omega(p+a)\). Zbl 1518.11066 Dixit, Anup B.; Murty, M. Ram 1 2022 Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial arguments. Zbl 1469.11242 Nasiri-Zare, Mohammad 1 2019 Multiplicatively dependent vectors with coordinates algebraic numbers. Zbl 1468.11193 Stewart, C. L. 1 2019 A transference inequality for rational approximation to points in geometric progression. Zbl 1485.11112 Champagne, Jérémy; Roy, Damien 1 2019 Some new congruences for \(l\)-regular partitions modulo 13, 17, and 23. Zbl 1469.11406 Abinash, S.; Kathiravan, T.; Srilakshmi, K. 1 2019 Divisibility of Selmer groups and class groups. Zbl 1480.11077 Banerjee, Kalyan; Chakraborty, Kalyan; Hoque, Azizul 1 2019 Congruences modulo powers of 5 for the rank parity function. Zbl 1471.05010 Chen, Dandan; Chen, Rong; Garvan, Frank 1 2020 The zeta Mahler measure of \((z^n-1)/(z-1)\). Zbl 1440.11206 Biswas, Arunabha; Murty, M. Ram 1 2018 Explicit \(abc\)-conjecture and its applications. Zbl 1440.11123 Chim, Kwok Chi; Nair, Saranya G.; Shorey, T. N. 1 2018 A localized Erdős-Kac theorem for \(\omega(p+a)\). Zbl 1518.11066 Dixit, Anup B.; Murty, M. Ram 1 2022 Power partitions and a generalized eta transformation property. Zbl 1503.11134 Zagier, Don 4 2021 Generating functions and congruences for 9-regular and 27-regular partitions in 3 colours. Zbl 1483.11231 Baruah, Nayandeep Deka; Das, Hirakjyoti 2 2021 The last chapter of the Disquisitiones of Gauss. Zbl 1479.11003 Anderson, Laura; Chahal, Jasbir S.; Top, Jaap 2 2021 A variant of the Hardy-Ramanujan theorem. Zbl 1489.11143 Murty, M. Ram; Murty, V. Kumar 1 2021 Quantum \(q\)-series identities. Zbl 1505.33010 Lovejoy, Jeremy 1 2021 Partition identities for two-color partitions. Zbl 1487.05027 Andrews, George E. 1 2021 A survey on \(t\)-core partitions. Zbl 1479.11176 Cho, Hyunsoo; Byungchan, Kim; Hayan, Nam; Sohn, Jaebum 1 2021 Generating functions for certain weighted cranks. Zbl 1479.11175 Bandyopadhyay, Shreejit; Yee, Ae Ja 1 2021 Partition-theoretic formulas for arithmetic densities. II. Zbl 1471.05011 Ono, Ken; Schneider, Robert; Wagner, Ian 4 2020 A localized Erdős-Kac theorem. Zbl 1480.11114 Dixit, Anup B.; Murty, M. Ram 3 2020 A heuristic guide to evaluating triple-sums. Zbl 1493.11045 Mortenson, Eric T. 3 2020 Bounds for \(d\)-distinct partitions. Zbl 1469.11405 Kang, Soon-Yi; Kim, Young Hyuen 2 2020 Distribution of generalized mex-related integer partitions. Zbl 1469.11407 Chakraborty, Kalyan; Ray, Chiranjit 2 2020 One level density of low-lying zeros of quadratic Hecke \(L\)-functions to prime moduli. Zbl 1480.11105 Gao, Peng; Zhao, Liangyi 2 2020 Congruences modulo powers of 5 for the rank parity function. Zbl 1471.05010 Chen, Dandan; Chen, Rong; Garvan, Frank 1 2020 Class numbers of quadratic fields. Zbl 1478.11135 Bhand, Ajit; Murty, M. Ram 4 2019 Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial arguments. Zbl 1469.11242 Nasiri-Zare, Mohammad 1 2019 Multiplicatively dependent vectors with coordinates algebraic numbers. Zbl 1468.11193 Stewart, C. L. 1 2019 A transference inequality for rational approximation to points in geometric progression. Zbl 1485.11112 Champagne, Jérémy; Roy, Damien 1 2019 Some new congruences for \(l\)-regular partitions modulo 13, 17, and 23. Zbl 1469.11406 Abinash, S.; Kathiravan, T.; Srilakshmi, K. 1 2019 Divisibility of Selmer groups and class groups. Zbl 1480.11077 Banerjee, Kalyan; Chakraborty, Kalyan; Hoque, Azizul 1 2019 On Pillai’s problem with Pell numbers and powers of 2. Zbl 1448.11042 Ouamar Hernane, Mohand; Luca, Florian; Rihane, Salah; Togbé, Alain 10 2018 A remark on cube-free numbers in Segal-Piatestki-Shapiro sequences. Zbl 1448.11055 Deshouillers, Jean-Marc 10 2018 A theorem of Fermat on congruent number curves. Zbl 1440.11094 Halbeisen, Lorenz; Hungerbühler, Norbert 3 2018 On certain sums over ordinates of zeta-zeros. II. Zbl 1447.11092 Bondarenko, Andriy; Ivić, Aleksandar; Saksman, Eero; Seip, Kristian 2 2018 Hybrid level aspect subconvexity for \(\mathrm{GL}(2)\times \mathrm{GL}(1)\) Rankin-Selberg \(L\)-functions. Zbl 1440.11052 Aggarwal, Keshav; Jo, Yeongseong; Nowland, Kevin 2 2018 The zeta Mahler measure of \((z^n-1)/(z-1)\). Zbl 1440.11206 Biswas, Arunabha; Murty, M. Ram 1 2018 Explicit \(abc\)-conjecture and its applications. Zbl 1440.11123 Chim, Kwok Chi; Nair, Saranya G.; Shorey, T. N. 1 2018 The Barban-Vehov theorem in arithmetic progressions. Zbl 1440.11186 Kumar, Murty V. 1 2018 Dual Ramanujan-Fourier series. Zbl 1435.11011 Ushiroya, Noboru 1 2017 On the Riesz means of \(\delta_k(n)\). Zbl 1434.11014 Singh, Saurabh Kumar 1 2017 Effective irrationality measures for quotients of logarithms of rational numbers. Zbl 1408.11072 Bugeaud, Yann 3 2016 Sieve functions in arithmetic bands. Zbl 1419.11114 Coppola, Giovanni; Laporta, Maurizio 3 2016 On congruences for certain sums of E. Lehmer’s type. Zbl 1408.11012 Kanemitsu, Shigeru; Kuzumaki, Takako; Urbanowicz, Jerzy 2 2016 Algebraic independence results on the generating Lambert series of the powers of a fixed integer. Zbl 1378.11078 Bundschuh, Peter; Väänänen, Keijo 2 2016 Ramanujan-Fourier series of certain arithmetic functions of two variables. Zbl 1417.11004 Ushiroya, Noboru 2 2016 On the Galois groups of generalized Laguerre polynomials. Zbl 1400.11146 Laishram, Shanta 1 2015 Ramanujan series for arithmetical functions. Zbl 1344.11006 Murty, M. Ram 15 2013 On the Riesz means of \(\frac{n}{\varphi(n)}\). Zbl 1358.11108 Sankaranarayanan, A.; Singh, Saurabh Kumar 3 2013 On the class number formula of certain real quadratic fields. Zbl 1294.11198 Chakraborty, K.; Kanemitsu, S.; Kuzumaki, T. 2 2013 The work of K. Ramachandra in algebraic number theory. Zbl 1303.11004 Murty, M. Ram 1 2013 Some diophantine problems concerning equal sums of integers and their cubes. Zbl 1223.11033 Choudhry, Ajai 3 2010 On the Mellin transforms of powers of Hardy’s functions. Zbl 1200.11062 Ivić, Aleksandar 2 2010 On mean value results for the Riemann zeta-function in short intervals. Zbl 1221.11177 Ivić, Aleksandar 6 2009 Alternating Euler sums at the negative integers. Zbl 1194.11090 Boyadzhiev, Khristo N.; Gopalkrishna Gadiyar, H.; Padma, R. 4 2009 Finite expressions for higher derivatives of the Dirichlet \(L\)-function and the Deninger \(R\)-function. Zbl 1203.11057 Chakraborty, K.; Kanemitsu, S.; Kuzumaki, T. 2 2009 Ideal solutions of the Tarry-Escott problem of degree eleven with applications to sums of thirteenth powers. Zbl 1335.11028 Choudhry, Ajai; Wroblewski, Jaroslaw 6 2008 Arithmetical investigations of particular Wynn power series. Zbl 1335.11058 Bundschuh, Peter 2 2008 On Kronecker’s limit formula and the hypergeometric function. Zbl 1335.11074 Kanemitsu, S.; Tanigawa, Y.; Tsukada, H. 1 2008 Rational triangles with the same perimeter and the same area. Zbl 1157.11010 Choudry, Ajai 6 2007 The number of imaginary quadratic fields with a given class number. Zbl 1151.11053 Soundararajan, K. 5 2007 Carmichael numbers with three prime factors. Zbl 1151.11047 Heath-Brown, D. R. 4 2007 Contributions to the theory of the Hurwitz zeta-function. Zbl 1157.11036 Kanemitsu, S.; Tanigawa, Y.; Tsukada, H.; Yoshimoto, M. 4 2007 On the Barban-Davenport Halberstam theorem. XIX. Zbl 1163.11064 Hooley, C. 2 2007 On the periodic Hurwitz zeta-function. Zbl 1127.11059 Javtokas, A.; Laurinčikas, A. 13 2006 On an exponential sum involving the Möbius function. Zbl 1115.11053 Maier, H.; Sankaranarayanan, A. 5 2005 Further variations on the six exponentials theorem. Zbl 1116.11054 Waldschmidt, Michel 3 2005 A lower bound concerning subsets sums which do not cover all the residues modulo \(p\). Zbl 1222.11037 Deshouillers, Jean-Marc 3 2005 Hardy-Littlewood first approximation theorem for quasi \(L\)-functions. Zbl 1222.11104 Balasubramanian, R.; Ramachandra, K. 1 2004 Mean square of the Hurwitz zeta-function and other remarks. Zbl 1113.11054 Balasubramanian, R.; Ramachandra, K. 1 2004 A generalization of Bochner’s formula. Zbl 1124.11043 Kanemitsu, S.; Tanigawa, Y.; Tsukada, H. 1 2004 One inequality involving simple zeros of \(\zeta(s)\). Zbl 1079.11043 Garaev, M. Z. 3 2003 Mean-square upper bound of Hecke \(L\)-functions on the critical line. Zbl 1075.11041 Sankaranarayanan, A. 1 2003 On totally reducible binary forms. II. Zbl 1022.11046 Hooley, C. 4 2002 Some problems of analytic number theory. IV. Zbl 1027.11071 Balasubramanian, R.; Ramachandra, K. 1 2002 On the values of the Riemann zeta-function at rational arguments. Zbl 0992.11052 Kanemitsu, S.; Tanigawa, Y.; Yoshimoto, M. 5 2001 Notes on the Riemann zeta-function. V. Zbl 0998.11046 Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 2000 On generalized Carmichael numbers. Zbl 1002.11006 Halbeisen, L.; Hungerbühler, N. 2 1999 Notes on the Riemann zeta-function. III. Zbl 0960.11040 Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 1999 On the Barban-Davenport-Halberstam theorem. X. Zbl 0957.11038 Hooley, C. 5 1998 Ramanujan’s lattice point problem, prime number theory and other remarks. Zbl 0824.11061 Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 3 1996 Is the binomial coefficient \({2n}\choose n\) squarefree? Zbl 0817.11011 Velammal, G. 5 1995 A large value theorem for \(\zeta(s)\). Zbl 0808.11050 Ramachandra, K. 1 1995 On sets of coprime integers in intervals. Zbl 0776.11011 Erdős, Paul; Sárközy, A. 2 1993 The number of primes in a short interval. Zbl 0777.11032 Lou, Shituo; Yao, Qi 1 1993 A Chebyshev’s type of prime number theorem in a short interval. II. Zbl 0780.11039 Lou, Shituo; Yao, Qi 5 1992 Proof of some conjectures on the mean-value of Titchmarsh series. II. Zbl 0736.11044 Balasubramanian, R.; Ramachandra, K. 2 1991 On the zeros of a class of generalised Dirichlet series. VIII. Zbl 0736.11045 Balasubramanian, R.; Ramachandra, K. 1 1991 On the zeros of a class of generalised Dirichlet series. IX. Zbl 0736.11046 Balasubramanian, R.; Ramachandra, K. 1 1991 Proof of some conjectures on the mean-value of Titchmarsh series. I. Zbl 0733.11027 Balasubramanian, R.; Ramachandra, K. 2 1990 Proof of some conjectures on the mean-value of Titchmarsh series with applications to Titchmarsh’s phenomenon. Zbl 0733.11028 Ramachandra, K. 1 1990 On the frequency of Titchmarsh’s phenomenon for \(\zeta(s)\). IX. Zbl 0733.11029 Ramachandra, K. 1 1990 An \(\Omega\)-result related to \(r_ 4(n)\). Zbl 0681.10028 Adhikari, Sukumar Das; Balasubramanian, R.; Sankaranarayanan, A. 1 1989 On n numbers on a circle. Zbl 0665.10010 Misiurewicz, M.; Schinzel, A. 5 1988 Some local-convexity theorems for the zeta-function-like analytic functions. Zbl 0663.10042 Balasubramanian, R.; Ramachandra, K. 1 1988 On the frequency of Titchmarsh’s phenomenon for \(\zeta (s)\). IV. Zbl 0662.10030 Balasubramanian, R. 15 1986 Hybrid mean square of L-functions. Zbl 0661.10054 Narlikar, M. J. 2 1986 The number of finite non-isomorphic abelian groups in mean square. Zbl 0666.10027 Ivić, Aleksandar 2 1986 On Waring’s problem: \(g(4)\leq 20\). Zbl 0604.10027 Balasubramanian, R. 4 1985 On the equation a \((x^ m-1)/(x-1)=b(y^ n-1)/(y-1)\). II. Zbl 0575.10011 Shorey, T. N. 1 1984 Mean-value of the Riemann zeta-function and other remarks. III. Zbl 0522.10026 Ramachandra, K. 1 1983 On a question of Ramachandra. Zbl 0515.10041 Montgomery, Hugh L. 1 1982 On the zeros of the Riemann zeta-function and L-series. II. Zbl 0463.10028 Balasubramanian, R.; Ramachandra, K. 1 1982 Some problems of analytic number theory. III. Zbl 0483.10038 Balasubramanian, R.; Ramachandra, K. 6 1981 Progress towards a conjecture on the mean-value of Titchmarsh series. II. Zbl 0483.10039 Ramachandra, K. 1 1981 Some remarks on the mean value of the Riemann zeta-function and other Dirichlet series. II. Zbl 0426.10046 Ramachandra, K. 15 1980 Some remarks on the mean value of the Riemann zeta-function and other Dirichlet series. II. Zbl 0411.10014 Ramachandra, K. 11 1980 On a theorem of Erdős and Szemeredi. Zbl 0431.10026 Narlikar, M. J. 1 1980 On Waring’s problem: \(g(4)\leq 21\). Zbl 0422.10045 Balasubramanian, R. 2 1979 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 345 Authors 11 Ivić, Aleksandar 11 Laurinčikas, Antanas 8 Sankaranarayanan, Ayyadurai 8 Srichan, Teerapat 7 Murty, Maruti Ram 7 Ramachandra, Kanakanahalli 6 Balasubramanian, Ramachandran 6 Dixit, Atul 5 Choudhry, Ajai 5 Coppola, Giovanni 5 Korolëv, Maksim Aleksandrovich 5 Maji, Bibekananda 5 Saha, Biswajyoti 5 Tangsupphathawat, Pinthira 4 Deshouillers, Jean-Marc 4 Gómez, Carlos Alexis 4 Kumar, Rahul 4 Luca, Florian 4 Soundararajan, Kannan 4 Ushiroya, Noboru 3 Bugeaud, Yann 3 Ddamulira, Mahadi 3 Faye, Bernadette 3 Gao, Peng 3 Jutila, Matti Ilmari 3 Kačinskaitė, Roma 3 Kanemitsu, Shigeru 3 Shamsi Zargar, Arman 3 Stewart, Cameron L. 3 Vaughan, Robert C. 3 Zhang, Yong 3 Zhao, Liangyi 2 Baghalaghdam, Mehdi 2 Bahşi, Mustafa 2 Bailey, Emma C. 2 Baruah, Nayandeep Deka 2 Bhoria, Subhash Chand 2 Blagojević, Pavle V. M. 2 Chakraborty, Kalyan 2 Christ, Thomas 2 de la Bretèche, Régis 2 Duverney, Daniel 2 Eyyunni, Pramod 2 Fiorilli, Daniel 2 Gupta, Rajat 2 Halbeisen, Lorenz J. 2 Hungerbuhler, Norbert 2 Izadi, Farzali A. 2 Ji, Guanghua 2 Kalpokas, Justas 2 Karthick Babu, C. G. 2 Keating, Jonathan Peter 2 Kolesnik, Grigoriĭ Abramovich 2 Lalín, Matilde Noemí 2 Lamzouri, Youness 2 Laohakosol, Vichian 2 Laporta, Maurizio B. S. 2 Ledoan, Andrew H. 2 Li, Aijuan 2 Li, Hailong 2 Li, Yangcheng 2 Mahatab, Kamalakshya 2 Matsumoto, Kohji 2 Mortenson, Eric T. 2 Özer, Özen 2 Pongsriiam, Prapanpong 2 Pujahari, Sudhir 2 Qin, Huizeng 2 Ramaré, Olivier 2 Singh, Saurabh Kumar 2 Solak, Süleyman 2 Sono, Keiju 2 Stevens, John G. 2 Tachiya, Yohei 2 Thomas, Diana Maria 2 Vũ Hà Văn 2 Wang, Xiaohan 2 Xiao, Stanley Yao 2 Xiao, Xuanxuan 2 Zaharescu, Alexandru 2 Ziegler, Günter Matthias 2 Ziegler, Volker 1 Adhikari, Sukumar Das 1 Alkan, Emre 1 Alpoge, Levent 1 Alzer, Horst 1 Amersi, Nadine 1 An, Chen 1 Andrade, Julio Cesar 1 Armstrong, Liam 1 Badziahin, Dzmitry A. 1 Bal, Hartosh Singh 1 Balčiūnas, Aidas 1 Balestrieri, Francesca 1 Balkanova, Ol’ga Germanovna 1 Banerjee, Debika 1 Banerjee, Soumyarup 1 Bani Mostafa A., M. H. 1 Banks, William David 1 Belotti, Mara ...and 245 more Authors all top 5 Cited in 101 Journals 33 Journal of Number Theory 14 The Ramanujan Journal 14 International Journal of Number Theory 7 Acta Arithmetica 7 Functiones et Approximatio. Commentarii Mathematici 7 Transactions of the American Mathematical Society 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Journal de Théorie des Nombres de Bordeaux 6 Lithuanian Mathematical Journal 6 Proceedings of the American Mathematical Society 6 Proceedings of the Steklov Institute of Mathematics 5 Indian Journal of Pure & Applied Mathematics 4 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Acta Mathematica Hungarica 4 Journal of Integer Sequences 4 Integers 4 Mathematical Modelling and Analysis 4 Research in Number Theory 3 Periodica Mathematica Hungarica 3 Archiv der Mathematik 3 Mathematische Annalen 3 Mathematika 3 Monatshefte für Mathematik 3 Linear Algebra and its Applications 3 Indagationes Mathematicae. New Series 3 Finite Fields and their Applications 3 The Electronic Journal of Combinatorics 3 Integral Transforms and Special Functions 3 Doklady Mathematics 3 Research in the Mathematical Sciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Arkiv för Matematik 2 Mathematics of Computation 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Czechoslovak Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Mathematische Zeitschrift 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Quaestiones Mathematicae 2 Journal of the European Mathematical Society (JEMS) 2 JP Journal of Algebra, Number Theory and Applications 2 Central European Journal of Mathematics 2 Chebyshevskiĭ Sbornik 1 Discrete Mathematics 1 The Mathematical Gazette 1 Mathematical Notes 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Graphs and Combinatorics 1 Revista Matemática Iberoamericana 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Sinica. New Series 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Filomat 1 The New York Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Mathematical Communications 1 Vietnam Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Journal of High Energy Physics 1 Gravitation & Cosmology 1 Journal of the Australian Mathematical Society 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Oberwolfach Reports 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Physics A: Mathematical and Theoretical 1 Albanian Journal of Mathematics 1 Involve 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Annales Mathématiques du Québec 1 Problemy Analiza. Issues of Analysis 1 European Journal of Mathematics 1 Applied Mathematics and Nonlinear Sciences 1 Discrete Analysis ...and 1 more Journals all top 5 Cited in 29 Fields 267 Number theory (11-XX) 16 Combinatorics (05-XX) 14 Special functions (33-XX) 8 Functions of a complex variable (30-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Algebraic geometry (14-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 4 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 3 Sequences, series, summability (40-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year