Edit Profile Balasubramanian, Ramachandran Compute Distance To: Compute Author ID: balasubramanian.ramachandran.1 Published as: Balasubramanian, R.; Balasubramanian, Ramachandran Homepage: https://www.imsc.res.in/~balu/ External Links: MGP · Wikidata · GND Documents Indexed: 154 Publications since 1975, including 4 Books Biographic References: 2 Publications all top 5 Co-Authors 12 single-authored 56 Ramachandra, Kanakanahalli 11 Ponnusamy, Saminathan 9 Adhikari, Sukumar Das 7 Sankaranarayanan, Ayyadurai 7 Shorey, Tarlok Nath 5 Srinivas, Kotyada 4 Giri, Sumit 4 Kanemitsu, Shigeru 4 Luca, Florian 3 Mozzochi, Charles J. 3 Nagaraj, Santosh V. 3 Prabhakaran, Devasirvatham John 3 Prakash, Gyan 3 Radha, Ramakrishnan 3 Ramana, D. S. 3 Soundararajan, Kannan 3 Srivastav, Priyamvad 3 Vuorinen, Matti Keijo Kustaa 2 Calado, Bruno 2 Deshouillers, Jean-Marc 2 Dress, François 2 Eliahou, Shalom 2 Grynkiewicz, David J. 2 Gun, Sanoli 2 Ivić, Aleksandar P. 2 Kulkarni, S. H. 2 Murty, Maruti Ram 2 Pandey, Prem Prakash 2 Queffélec, Hervé 2 Ralaivaosaona, Dimbinaina 2 Raman, Venkatesh 2 Rath, Purusottam 2 Thangadurai, Ravindranathan 2 Waldschmidt, Michel 1 Agarwal, Ashwani Kumar 1 Arasu, Krishnasamy Thiru 1 Bhowmik, Gautami 1 Conrey, John Brian 1 Dani, Shrikrishna Gopalrao 1 Das, Sukhendu 1 Ding, Liping 1 Evans, Anthony B. 1 Fellows, Michael Ralph 1 Garg, Gagan 1 Gruber, Peter Manfred 1 Hans-Gill, Rajinder J. 1 Heath-Brown, David Roger 1 Karunakaran, V. 1 Katona, Gyula O. H. 1 Koblitz, Neal I. 1 Krishnamurthy, Vikram 1 Laishram, Shanta 1 Langevin, Michel 1 Murty, Vijaya Kumar 1 Naik, Swatee 1 Pappalardi, Francesco 1 Raghavan, Sreenivasa A. 1 Ramanathan, Kollagunta G. 1 Rangachari, M. S. 1 Subbarao, Matukumalli Venkata 1 Swaminathan, Karthik 1 Tanigawa, Yoshio 1 Tsukada, Haruo 1 Veni Madhavan, C. E. 1 Wirths, Karl-Joachim 1 Yoshimoto, Masami all top 5 Serials 23 Hardy-Ramanujan Journal 17 Acta Arithmetica 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Journal of Number Theory 4 Journal of Mathematical Analysis and Applications 4 The Journal of the Indian Mathematical Society. New Series 3 Indagationes Mathematicae. New Series 3 Ramanujan Mathematical Society Lecture Notes Series 2 Indian Journal of Pure & Applied Mathematics 2 Information Processing Letters 2 Arkiv för Matematik 2 Archiv der Mathematik 2 Bulletin of the Calcutta Mathematical Society 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Publicationes Mathematicae 2 European Journal of Combinatorics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Proceedings of the Indian Academy of Sciences 1 Studia Mathematica 1 Mathematics of Computation 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Kyungpook Mathematical Journal 1 Mathematica Scandinavica 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Studia Scientiarum Mathematicarum Hungarica 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Complex Variables. Theory and Application 1 Acta Mathematica Hungarica 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Journal of Cryptology 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The Electronic Journal of Combinatorics 1 Integral Transforms and Special Functions 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Integers 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Number Theory 1 Journal of Combinatorics and Number Theory all top 5 Fields 127 Number theory (11-XX) 17 Functions of a complex variable (30-XX) 7 Combinatorics (05-XX) 6 Special functions (33-XX) 4 Group theory and generalizations (20-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Sequences, series, summability (40-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 102 Publications have been cited 462 times in 365 Documents Cited by ▼ Year ▼ The improbability that an elliptic curve has subexponential discrete log problem under the Menezes-Okamoto-Vanstone algorithm. Zbl 0978.94038Balasubramanian, R.; Koblitz, Neal 26 1998 An improvement on a theorem of Titchmarsh on the mean square of \(|\zeta({1\over 2}+it)|\). Zbl 0375.10025Balasubramanian, R. 26 1978 An improved fixed-parameter algorithm for vertex cover. Zbl 1337.05095Balasubramanian, R.; Fellows, Michael R.; Raman, Venkatesh 24 1998 Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. Zbl 0549.10030Balasubramanian, R.; Conrey, J. B.; Heath-Brown, D. R. 23 1985 The Bohr inequality for ordinary Dirichlet series. Zbl 1110.30001Balasubramanian, R.; Calado, B.; Queffélec, H. 21 2006 Functional inequalities for the quotients of hypergeometric functions. Zbl 0890.33004Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 20 1998 On hypergeometric functions and function spaces. Zbl 1172.33302Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 19 2002 On the frequency of Titchmarsh’s phenomenon for \(\zeta(s)\). III. Zbl 0373.10026Balasubramanian, R.; Ramachandra, K. 18 1977 On the frequency of Titchmarsh’s phenomenon for \(\zeta (s)\). IV. Zbl 0662.10030Balasubramanian, R. 13 1986 On the error function in the asymptotic formula for the counting function of \(k\)-full numbers. Zbl 0652.10033Balasubramanian, R.; Ramachandra, K.; Subbarao, M. V. 12 1988 Hardy-type inequalities for Hermite expansions. Zbl 1087.42021Balasubramanian, R.; Radha, R. 10 2005 Some zero-sum constants with weights. Zbl 1207.11030Adhikari, Sukumar Das; Balasubramanian, R.; Pappalardi, F.; Rath, Purusottam 9 2008 Duality techniques for certain integral transforms to be starlike. Zbl 1061.30012Balasubramanian, R.; Ponnusamy, S.; Prabhakaran, D. J. 9 2004 On the number of integers \(n\) such that \(n d(n)\leq x\). Zbl 0588.10046Balasubramanian, R.; Ramachandra, K. 8 1988 Problème de Waring pour les bicarrés. I: schéma de la solution. (Waring’s problem for fourth powers. I: sketch of the solution). Zbl 0594.10039Balasubramanian, Ramachandran; Deshouillers, Jean-Marc; Dress, François 8 1986 A note on Dirichlet’s L-functions. Zbl 0379.10026Balasubramanian, R. 8 1980 Convexity of integral transforms and function spaces. Zbl 1109.30009Balasubramanian, R.; Ponnusamy, S.; Prabhakaran, D. J. 7 2007 Zeros of Dirichlet \(L\)-functions. Zbl 0771.11033Balasubramanian, R.; Murty, V. Kumar 6 1992 The mean square of the Riemann zeta-function on the line \(\sigma{}=1\). Zbl 0753.11028Balasubramanian, R.; Ivić, A.; Ramachandra, K. 6 1992 Some problems of analytic number theory. III. Zbl 0483.10038Balasubramanian, R.; Ramachandra, K. 6 1981 On the zeros of a class of generalized Dirichlet series. III. Zbl 0438.10033Balasubramanian, R.; Ramachandra, K. 6 1977 Euler products, Farey series, and the Riemann hypothesis. II. Zbl 1121.11016Balasubramanian, R.; Kanemitsu, S.; Yoshimoto, M. 5 2006 On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M. 5 1989 On an error term related to the greatest divisor of \(n\), which is prime to \(k\). Zbl 0655.10038Adhikari, Sukumar Das; Balasubramanian, R.; Sankaranarayanan, A. 5 1988 On the zeros of a class of generalized Dirichlet series. IV. Zbl 0481.10039Balasubramanian, R.; Ramachandra, K. 5 1978 On the sum of the first \(n\) values of the Euler function. Zbl 1295.11105Balasubramanian, R.; Luca, Florian; Ralaivaosaona, Dimbinaina 4 2014 On zeros of quasi-modular forms. Zbl 1273.11080Balasubramanian, R.; Gun, Sanoli 4 2012 On the number of factorizations of an integer. Zbl 1245.11100Balasubramanian, Ramachandran; Luca, Florian 4 2011 On ideal-function-like functions. Zbl 1045.11081Balasubramanian, R.; Kanemitsu, S.; Ramachandra, K. 4 2003 Elliott’s identity and hypergeometric functions. Zbl 1011.33010Balasubramanian, R.; Naik, S.; Ponnusamy, S.; Vuorinen, M. 4 2002 On the additive completion of squares. Zbl 0645.10047Balasubramanian, R. 4 1988 Progress towards a conjecture on the mean value of Titchmarsh series. III. Zbl 0529.10038Balasubramanian, R.; Ramachandra, K. 4 1986 An Omega-theorem for Ramanujan’s tau-function. Zbl 0499.10024Balasubramanian, R.; Murty, M. Ram 4 1982 A note on Hurwitz’s zeta-function. Zbl 0405.10027Balasubramanian, R. 4 1979 Sum-free subsets of finite abelian groups of type III. Zbl 1358.11045Balasubramanian, R.; Prakash, Gyan; Ramana, D. S. 3 2016 Local tetra patterns: a new feature descriptor for content-based image retrieval. Zbl 1373.94293Murala, Subrahmanyam; Maheshwari, R. P.; Balasubramanian, R. 3 2012 Some combinatorial group invariants and their generalizations with weights. Zbl 1173.11010Adhikari, Sukumar Das; Balasubramanian, R.; Rath, Purusottam 3 2007 On extremal problems related to integral transforms of a class of analytic functions. Zbl 1125.30005Balasubramanian, R.; Ponnusamy, S.; Prabhakaran, D. J. 3 2007 Upper bounds for the Davenport constant. Zbl 1173.11011Balasubramanian, R.; Bhowmik, Gautami 3 2007 Solution of a tridiagonal operator equation. Zbl 1115.47012Balasubramanian, R.; Kulkarni, S. H.; Radha, R. 3 2006 On an additive representation function. Zbl 1045.11008Balasubramanian, R.; Prakash, Gyan 3 2004 On a question regarding visibility of lattice points. Zbl 0855.11009Adhikari, Sukumar Das; Balasubramanian, R. 3 1996 Squares in products from a block of consecutive integers. Zbl 0802.11012Balasubramanian, R.; Shorey, T. N. 3 1993 An application of the Hooley-Huxley contour. Zbl 0781.11035Balasubramanian, R.; Ivić, A.; Ramachandra, K. 3 1993 On the additive completion of squares. II. Zbl 0749.11021Balasubramanian, R.; Soundararajan, K. 3 1992 A note on a certain error-term. Zbl 0686.10033Adhikari, Sukumar Das; Balasubramanian, R. 3 1991 Problème de Waring pour les bicarrés. II: résultats auxiliaires pour le théorème asymptotique. (Waring’s problem for fourth powers. II: auxiliary results for the asymptotic theorem). Zbl 0594.10040Balasubramanian, Ramachandran; Deshouillers, Jean-Marc; Dress, François 3 1986 On Waring’s problem: \(g(4)\leq 20\). Zbl 0604.10027Balasubramanian, R. 3 1985 The mean-value of a product of shifted multiplicative functions and the average number of points of elliptic curves. Zbl 1391.11139Balasubramanian, R.; Giri, Sumit 2 2015 Arithmetic properties of the sum of the first \(n\) values of the Euler function. Zbl 1390.11113Balasubramanian, R.; Luca, Florian; Ralaivaosaona, Dimbinaina 2 2015 On the complexity of families of pseudo-random subsets. Zbl 1314.11048Balasubramanian, Ramachandran; Dartyge, Cécile; Mosaki, Élie 2 2014 On the exact degree of \(\mathbb {Q}(\sqrt {a_1}, \sqrt {a_2},\cdots, \sqrt {a_\ell })\) over \(\mathbb {Q}\). Zbl 1201.11102Balasubramanian, R.; Luca, F.; Thangadurai, R. 2 2010 The number of prime divisors of a product of consecutive integers. Zbl 1256.11027Balasubramanian, R.; Laishram, Shanta; Shorey, T. N.; Thangadurai, R. 2 2009 On the partial fraction expansion for the cotangent-like function. Zbl 1263.11081Balasubramanian, R.; Ding, L. P.; Kanemitsu, S.; Tanigawa, Y. 2 2008 Asymptotic formula for sum-free sets in abelian groups. Zbl 1127.11016Balasubramanian, R.; Prakash, Gyan 2 2007 Additive complements of the squares. Zbl 1007.11005Balasubramanian, R.; Ramana, D. S. 2 2001 Non-invertibility of certain almost Mathieu operators. Zbl 0967.47023Balasubramanian, R.; Kulkarni, S. H.; Radha, R. 2 2001 On Ramanujan asymptotic expansions and inequalities for hypergeometric functions. Zbl 0946.33003Balasubramanian, R.; Ponnusamy, S. 2 1998 Perfect powers in products of terms in an arithmetical progression. IV. Zbl 0896.11011Balasubramanian, R.; Shorey, T. N. 2 1998 Density of Carmichael numbers with three prime factors. Zbl 0902.11036Balasubramanian, R.; Nagaraj, S. V. 2 1997 On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M. 2 1996 On a conjecture of R. L. Graham. Zbl 0853.11002Balasubramanian, Ramachandran; Soundararajan, Kannan 2 1996 Path balance heuristic for self-adjusting binary search trees. Zbl 1354.68235Balasubramanian, R.; Raman, Venkatesh 2 1995 On the equation \(f(x+1)\dots f(x+k)= f(y+1)\dots f(y+mk)\). Zbl 0795.11015Balasubramanian, R.; Shorey, T. N. 2 1993 On the zeros of \(\zeta'(s)-a\). Zbl 0781.11033Balasubramanian, R.; Ramachandra, K. 2 1993 Proof of some conjectures on the mean-value of Titchmarsh series. II. Zbl 0736.11044Balasubramanian, R.; Ramachandra, K. 2 1991 Proof of some conjectures on the mean-value of Titchmarsh series. I. Zbl 0733.11027Balasubramanian, R.; Ramachandra, K. 2 1990 An alternative approach to a theorem of Tom Meurman. Zbl 0655.10034Balasubramanian, R.; Ramachandra, K. 2 1990 Elliptic pseudoprimes. II. Zbl 0748.11005Balasubramanian, R.; Murty, M. Ram 2 1990 A note on a result of Erdős, Sárközy and Sós. Zbl 0642.10050Balasubramanian, R. 2 1987 An improved upper bound for \(G(k)\) in Waring’s problem for relatively small \(k\). Zbl 0491.10036Balasubramanian, R.; Mozzochi, C. J. 2 1984 Effective and noneffective results on certain arithmetical functions. Zbl 0428.10023Balasubramanian, R.; Ramachandra, K. 2 1980 On the equation \(a(x^m-1)/(x-1)=b(y^n-1)/(y-1)\). Zbl 0425.10020Balasubramanian, R.; Shorey, T. N. 2 1980 On a theorem of Deshouillers and Freiman. Zbl 1429.11021Balasubramanian, R.; Pandey, Prem Prakash 1 2018 Poisson distribution of a prime counting function corresponding to elliptic curves. Zbl 1404.11116Balasubramanian, R.; Giri, Sumit 1 2016 On additive representation functions. Zbl 1390.11030Balasubramanian, R.; Giri, Sumit 1 2015 Some problems of analytic number theory. V. Zbl 1193.11089Balasubramanian, R.; Ramachandra, K. 1 2008 Contributions to the theory of the Lerch zeta-function. Zbl 1132.11048Balasubramanian, R.; Kanemitsu, S.; Tsukada, H. 1 2006 The Bohr inequality for Dirichlet series. Zbl 1092.30003Balasubramanian, Ramachandran; Calado, Bruno; Queffélec, Hervé 1 2005 Mean square of the Hurwitz zeta-function and other remarks. Zbl 1113.11054Balasubramanian, R.; Ramachandra, K. 1 2004 Hardy-Littlewood first approximation theorem for quasi \(L\)-functions. Zbl 1222.11104Balasubramanian, R.; Ramachandra, K. 1 2004 Simulation studies for the performance analysis of the reconstruction of a line in 3-D from two arbitrary perspective views using two plane intersection method. Zbl 1034.68115Balasubramanian, R.; Das, Sukhendu; Swaminathan, K. 1 2003 Some problems of analytic number theory. IV. Zbl 1027.11071Balasubramanian, R.; Ramachandra, K. 1 2002 Notes on the Riemann zeta-function. V. Zbl 0998.11046Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 2000 Notes on the Riemann zeta-function. IV. Zbl 0960.11041Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 1999 Notes on the Riemann zeta-function. III. Zbl 0960.11040Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 1999 Applications of duality principle to integral transforms of analytic functions. Zbl 1018.33002Ponnusamy, S.; Balasubramanian, R. 1 1999 An introduction to cryptology. Zbl 0930.94020Balasubramanian, R. 1 1998 An alternate proof of Hall’s theorem on a conformal mapping inequality. Zbl 0853.30010Balasubramanian, R.; Ponnusamy, S. 1 1996 On the zeros of a class of generalised Dirichlet series. XIV. Zbl 0796.11038Balasubramanian, R.; Ramachandra, K. 1 1994 A proof of Hall’s conjecture on starlike mappings. Zbl 0787.30007Balasubramanian, R.; Karunakaran, V.; Ponnusamy, S. 1 1993 On the zeros of a class of generalised Dirichlet series. IX. Zbl 0736.11046Balasubramanian, R.; Ramachandra, K. 1 1991 On the zeros of a class of generalised Dirichlet series. VIII. Zbl 0736.11045Balasubramanian, R.; Ramachandra, K. 1 1991 An \(\Omega\)-result related to \(r_ 4(n)\). Zbl 0681.10028Adhikari, Sukumar Das; Balasubramanian, R.; Sankaranarayanan, A. 1 1989 On square-free numbers. Zbl 0698.10029Balasubramanian, R.; Ramachandra, K. 1 1988 Some local-convexity theorems for the zeta-function-like analytic functions. Zbl 0663.10042Balasubramanian, R.; Ramachandra, K. 1 1988 A hybrid version of a theorem of Ingham. Zbl 0557.10030Balasubramanian, R.; Ramachandra, K. 1 1985 On the zeros of a class of generalised Dirichlet series. VI. Zbl 0481.10040Balasubramanian, R.; Ramachandra, K. 1 1981 Some problems of analytic number theory. II. Zbl 0449.10035Balasubramanian, R.; Ramachandra, K. 1 1979 On Waring’s problem: \(g(4)\leq 21\). Zbl 0422.10045Balasubramanian, R. 1 1979 On a theorem of Deshouillers and Freiman. Zbl 1429.11021Balasubramanian, R.; Pandey, Prem Prakash 1 2018 Sum-free subsets of finite abelian groups of type III. Zbl 1358.11045Balasubramanian, R.; Prakash, Gyan; Ramana, D. S. 3 2016 Poisson distribution of a prime counting function corresponding to elliptic curves. Zbl 1404.11116Balasubramanian, R.; Giri, Sumit 1 2016 The mean-value of a product of shifted multiplicative functions and the average number of points of elliptic curves. Zbl 1391.11139Balasubramanian, R.; Giri, Sumit 2 2015 Arithmetic properties of the sum of the first \(n\) values of the Euler function. Zbl 1390.11113Balasubramanian, R.; Luca, Florian; Ralaivaosaona, Dimbinaina 2 2015 On additive representation functions. Zbl 1390.11030Balasubramanian, R.; Giri, Sumit 1 2015 On the sum of the first \(n\) values of the Euler function. Zbl 1295.11105Balasubramanian, R.; Luca, Florian; Ralaivaosaona, Dimbinaina 4 2014 On the complexity of families of pseudo-random subsets. Zbl 1314.11048Balasubramanian, Ramachandran; Dartyge, Cécile; Mosaki, Élie 2 2014 On zeros of quasi-modular forms. Zbl 1273.11080Balasubramanian, R.; Gun, Sanoli 4 2012 Local tetra patterns: a new feature descriptor for content-based image retrieval. Zbl 1373.94293Murala, Subrahmanyam; Maheshwari, R. P.; Balasubramanian, R. 3 2012 On the number of factorizations of an integer. Zbl 1245.11100Balasubramanian, Ramachandran; Luca, Florian 4 2011 On the exact degree of \(\mathbb {Q}(\sqrt {a_1}, \sqrt {a_2},\cdots, \sqrt {a_\ell })\) over \(\mathbb {Q}\). Zbl 1201.11102Balasubramanian, R.; Luca, F.; Thangadurai, R. 2 2010 The number of prime divisors of a product of consecutive integers. Zbl 1256.11027Balasubramanian, R.; Laishram, Shanta; Shorey, T. N.; Thangadurai, R. 2 2009 Some zero-sum constants with weights. Zbl 1207.11030Adhikari, Sukumar Das; Balasubramanian, R.; Pappalardi, F.; Rath, Purusottam 9 2008 On the partial fraction expansion for the cotangent-like function. Zbl 1263.11081Balasubramanian, R.; Ding, L. P.; Kanemitsu, S.; Tanigawa, Y. 2 2008 Some problems of analytic number theory. V. Zbl 1193.11089Balasubramanian, R.; Ramachandra, K. 1 2008 Convexity of integral transforms and function spaces. Zbl 1109.30009Balasubramanian, R.; Ponnusamy, S.; Prabhakaran, D. J. 7 2007 Some combinatorial group invariants and their generalizations with weights. Zbl 1173.11010Adhikari, Sukumar Das; Balasubramanian, R.; Rath, Purusottam 3 2007 On extremal problems related to integral transforms of a class of analytic functions. Zbl 1125.30005Balasubramanian, R.; Ponnusamy, S.; Prabhakaran, D. J. 3 2007 Upper bounds for the Davenport constant. Zbl 1173.11011Balasubramanian, R.; Bhowmik, Gautami 3 2007 Asymptotic formula for sum-free sets in abelian groups. Zbl 1127.11016Balasubramanian, R.; Prakash, Gyan 2 2007 The Bohr inequality for ordinary Dirichlet series. Zbl 1110.30001Balasubramanian, R.; Calado, B.; Queffélec, H. 21 2006 Euler products, Farey series, and the Riemann hypothesis. II. Zbl 1121.11016Balasubramanian, R.; Kanemitsu, S.; Yoshimoto, M. 5 2006 Solution of a tridiagonal operator equation. Zbl 1115.47012Balasubramanian, R.; Kulkarni, S. H.; Radha, R. 3 2006 Contributions to the theory of the Lerch zeta-function. Zbl 1132.11048Balasubramanian, R.; Kanemitsu, S.; Tsukada, H. 1 2006 Hardy-type inequalities for Hermite expansions. Zbl 1087.42021Balasubramanian, R.; Radha, R. 10 2005 The Bohr inequality for Dirichlet series. Zbl 1092.30003Balasubramanian, Ramachandran; Calado, Bruno; Queffélec, Hervé 1 2005 Duality techniques for certain integral transforms to be starlike. Zbl 1061.30012Balasubramanian, R.; Ponnusamy, S.; Prabhakaran, D. J. 9 2004 On an additive representation function. Zbl 1045.11008Balasubramanian, R.; Prakash, Gyan 3 2004 Mean square of the Hurwitz zeta-function and other remarks. Zbl 1113.11054Balasubramanian, R.; Ramachandra, K. 1 2004 Hardy-Littlewood first approximation theorem for quasi \(L\)-functions. Zbl 1222.11104Balasubramanian, R.; Ramachandra, K. 1 2004 On ideal-function-like functions. Zbl 1045.11081Balasubramanian, R.; Kanemitsu, S.; Ramachandra, K. 4 2003 Simulation studies for the performance analysis of the reconstruction of a line in 3-D from two arbitrary perspective views using two plane intersection method. Zbl 1034.68115Balasubramanian, R.; Das, Sukhendu; Swaminathan, K. 1 2003 On hypergeometric functions and function spaces. Zbl 1172.33302Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 19 2002 Elliott’s identity and hypergeometric functions. Zbl 1011.33010Balasubramanian, R.; Naik, S.; Ponnusamy, S.; Vuorinen, M. 4 2002 Some problems of analytic number theory. IV. Zbl 1027.11071Balasubramanian, R.; Ramachandra, K. 1 2002 Additive complements of the squares. Zbl 1007.11005Balasubramanian, R.; Ramana, D. S. 2 2001 Non-invertibility of certain almost Mathieu operators. Zbl 0967.47023Balasubramanian, R.; Kulkarni, S. H.; Radha, R. 2 2001 Notes on the Riemann zeta-function. V. Zbl 0998.11046Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 2000 Notes on the Riemann zeta-function. IV. Zbl 0960.11041Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 1999 Notes on the Riemann zeta-function. III. Zbl 0960.11040Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. 1 1999 Applications of duality principle to integral transforms of analytic functions. Zbl 1018.33002Ponnusamy, S.; Balasubramanian, R. 1 1999 The improbability that an elliptic curve has subexponential discrete log problem under the Menezes-Okamoto-Vanstone algorithm. Zbl 0978.94038Balasubramanian, R.; Koblitz, Neal 26 1998 An improved fixed-parameter algorithm for vertex cover. Zbl 1337.05095Balasubramanian, R.; Fellows, Michael R.; Raman, Venkatesh 24 1998 Functional inequalities for the quotients of hypergeometric functions. Zbl 0890.33004Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 20 1998 On Ramanujan asymptotic expansions and inequalities for hypergeometric functions. Zbl 0946.33003Balasubramanian, R.; Ponnusamy, S. 2 1998 Perfect powers in products of terms in an arithmetical progression. IV. Zbl 0896.11011Balasubramanian, R.; Shorey, T. N. 2 1998 An introduction to cryptology. Zbl 0930.94020Balasubramanian, R. 1 1998 Density of Carmichael numbers with three prime factors. Zbl 0902.11036Balasubramanian, R.; Nagaraj, S. V. 2 1997 On a question regarding visibility of lattice points. Zbl 0855.11009Adhikari, Sukumar Das; Balasubramanian, R. 3 1996 On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Zbl 0859.11012Balasubramanian, R.; Langevin, M.; Shorey, T. N.; Waldschmidt, M. 2 1996 On a conjecture of R. L. Graham. Zbl 0853.11002Balasubramanian, Ramachandran; Soundararajan, Kannan 2 1996 An alternate proof of Hall’s theorem on a conformal mapping inequality. Zbl 0853.30010Balasubramanian, R.; Ponnusamy, S. 1 1996 Path balance heuristic for self-adjusting binary search trees. Zbl 1354.68235Balasubramanian, R.; Raman, Venkatesh 2 1995 On the zeros of a class of generalised Dirichlet series. XIV. Zbl 0796.11038Balasubramanian, R.; Ramachandra, K. 1 1994 Squares in products from a block of consecutive integers. Zbl 0802.11012Balasubramanian, R.; Shorey, T. N. 3 1993 An application of the Hooley-Huxley contour. Zbl 0781.11035Balasubramanian, R.; Ivić, A.; Ramachandra, K. 3 1993 On the equation \(f(x+1)\dots f(x+k)= f(y+1)\dots f(y+mk)\). Zbl 0795.11015Balasubramanian, R.; Shorey, T. N. 2 1993 On the zeros of \(\zeta'(s)-a\). Zbl 0781.11033Balasubramanian, R.; Ramachandra, K. 2 1993 A proof of Hall’s conjecture on starlike mappings. Zbl 0787.30007Balasubramanian, R.; Karunakaran, V.; Ponnusamy, S. 1 1993 Zeros of Dirichlet \(L\)-functions. Zbl 0771.11033Balasubramanian, R.; Murty, V. Kumar 6 1992 The mean square of the Riemann zeta-function on the line \(\sigma{}=1\). Zbl 0753.11028Balasubramanian, R.; Ivić, A.; Ramachandra, K. 6 1992 On the additive completion of squares. II. Zbl 0749.11021Balasubramanian, R.; Soundararajan, K. 3 1992 A note on a certain error-term. Zbl 0686.10033Adhikari, Sukumar Das; Balasubramanian, R. 3 1991 Proof of some conjectures on the mean-value of Titchmarsh series. II. Zbl 0736.11044Balasubramanian, R.; Ramachandra, K. 2 1991 On the zeros of a class of generalised Dirichlet series. IX. Zbl 0736.11046Balasubramanian, R.; Ramachandra, K. 1 1991 On the zeros of a class of generalised Dirichlet series. VIII. Zbl 0736.11045Balasubramanian, R.; Ramachandra, K. 1 1991 Proof of some conjectures on the mean-value of Titchmarsh series. I. Zbl 0733.11027Balasubramanian, R.; Ramachandra, K. 2 1990 An alternative approach to a theorem of Tom Meurman. Zbl 0655.10034Balasubramanian, R.; Ramachandra, K. 2 1990 Elliptic pseudoprimes. II. Zbl 0748.11005Balasubramanian, R.; Murty, M. Ram 2 1990 On the maximal length of two sequences of consecutive integers with the same prime divisors. Zbl 0689.10049Balasubramanian, R.; Shorey, T. N.; Waldschmidt, M. 5 1989 An \(\Omega\)-result related to \(r_ 4(n)\). Zbl 0681.10028Adhikari, Sukumar Das; Balasubramanian, R.; Sankaranarayanan, A. 1 1989 On the error function in the asymptotic formula for the counting function of \(k\)-full numbers. Zbl 0652.10033Balasubramanian, R.; Ramachandra, K.; Subbarao, M. V. 12 1988 On the number of integers \(n\) such that \(n d(n)\leq x\). Zbl 0588.10046Balasubramanian, R.; Ramachandra, K. 8 1988 On an error term related to the greatest divisor of \(n\), which is prime to \(k\). Zbl 0655.10038Adhikari, Sukumar Das; Balasubramanian, R.; Sankaranarayanan, A. 5 1988 On the additive completion of squares. Zbl 0645.10047Balasubramanian, R. 4 1988 On square-free numbers. Zbl 0698.10029Balasubramanian, R.; Ramachandra, K. 1 1988 Some local-convexity theorems for the zeta-function-like analytic functions. Zbl 0663.10042Balasubramanian, R.; Ramachandra, K. 1 1988 A note on a result of Erdős, Sárközy and Sós. Zbl 0642.10050Balasubramanian, R. 2 1987 On the frequency of Titchmarsh’s phenomenon for \(\zeta (s)\). IV. Zbl 0662.10030Balasubramanian, R. 13 1986 Problème de Waring pour les bicarrés. I: schéma de la solution. (Waring’s problem for fourth powers. I: sketch of the solution). Zbl 0594.10039Balasubramanian, Ramachandran; Deshouillers, Jean-Marc; Dress, François 8 1986 Progress towards a conjecture on the mean value of Titchmarsh series. III. Zbl 0529.10038Balasubramanian, R.; Ramachandra, K. 4 1986 Problème de Waring pour les bicarrés. II: résultats auxiliaires pour le théorème asymptotique. (Waring’s problem for fourth powers. II: auxiliary results for the asymptotic theorem). Zbl 0594.10040Balasubramanian, Ramachandran; Deshouillers, Jean-Marc; Dress, François 3 1986 Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. Zbl 0549.10030Balasubramanian, R.; Conrey, J. B.; Heath-Brown, D. R. 23 1985 On Waring’s problem: \(g(4)\leq 20\). Zbl 0604.10027Balasubramanian, R. 3 1985 A hybrid version of a theorem of Ingham. Zbl 0557.10030Balasubramanian, R.; Ramachandra, K. 1 1985 An improved upper bound for \(G(k)\) in Waring’s problem for relatively small \(k\). Zbl 0491.10036Balasubramanian, R.; Mozzochi, C. J. 2 1984 An Omega-theorem for Ramanujan’s tau-function. Zbl 0499.10024Balasubramanian, R.; Murty, M. Ram 4 1982 Some problems of analytic number theory. III. Zbl 0483.10038Balasubramanian, R.; Ramachandra, K. 6 1981 On the zeros of a class of generalised Dirichlet series. VI. Zbl 0481.10040Balasubramanian, R.; Ramachandra, K. 1 1981 A note on Dirichlet’s L-functions. Zbl 0379.10026Balasubramanian, R. 8 1980 Effective and noneffective results on certain arithmetical functions. Zbl 0428.10023Balasubramanian, R.; Ramachandra, K. 2 1980 On the equation \(a(x^m-1)/(x-1)=b(y^n-1)/(y-1)\). Zbl 0425.10020Balasubramanian, R.; Shorey, T. N. 2 1980 A note on Hurwitz’s zeta-function. Zbl 0405.10027Balasubramanian, R. 4 1979 Some problems of analytic number theory. II. Zbl 0449.10035Balasubramanian, R.; Ramachandra, K. 1 1979 On Waring’s problem: \(g(4)\leq 21\). Zbl 0422.10045Balasubramanian, R. 1 1979 An improvement on a theorem of Titchmarsh on the mean square of \(|\zeta({1\over 2}+it)|\). Zbl 0375.10025Balasubramanian, R. 26 1978 On the zeros of a class of generalized Dirichlet series. IV. Zbl 0481.10039Balasubramanian, R.; Ramachandra, K. 5 1978 On the frequency of Titchmarsh’s phenomenon for \(\zeta(s)\). III. Zbl 0373.10026Balasubramanian, R.; Ramachandra, K. 18 1977 On the zeros of a class of generalized Dirichlet series. III. Zbl 0438.10033Balasubramanian, R.; Ramachandra, K. 6 1977 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 474 Authors 23 Balasubramanian, Ramachandran 13 Ponnusamy, Saminathan 13 Ramachandra, Kanakanahalli 11 Adhikari, Sukumar Das 9 Defant, Andreas 9 Ivić, Aleksandar P. 9 Sankaranarayanan, Ayyadurai 8 Chen, Jian-er 7 Kanemitsu, Shigeru 6 Baricz, Árpád 6 Robles, Nicolas 6 Sevilla-Peris, Pablo 6 Vuorinen, Matti Keijo Kustaa 5 Chen, Yonggao 5 Luca, Florian 5 Seip, Kristian 5 Soundararajan, Kannan 5 Swaminathan, Anbhu 5 Zhang, Xiaohui 4 Chu, Yuming 4 Fomenko, Oleg Mstislavovich 4 Kanj, Iyad A. 4 Korolëv, Maksim Aleksandrovich 4 Laurinčikas, Antanas 4 Li, Zhongkai 4 Matsumoto, Kohji 4 Rassias, Michael Th. 4 Shi, Yehao 4 Shorey, Tarlok Nath 4 Zaharescu, Alexandru 3 Ali, Rosihan Mohamed 3 Bettin, Sandro 3 Conrey, John Brian 3 Grynkiewicz, David J. 3 Kühn, Patrick 3 Ma, Rong 3 Ma, Xiaoyan 3 Maestre, Manuel 3 Maier, Helmut 3 Miret, Josep M. 3 Plewa, Paweł 3 Pomerance, Carl Bernard 3 Prabhakaran, Devasirvatham John 3 Pratt, Kyle 3 Qiu, Songliang 3 Radha, Ramakrishnan 3 Ravichandran, Vaithiyanathan 3 Rossmanith, Peter 3 Roy, Arindam 3 Shparlinski, Igor E. 3 Srinivas, Kotyada 3 Tanigawa, Yoshio 3 Zehavi, Meirav 3 Zeindler, Dirk 3 Zhang, Yulong 2 Aistleitner, Christoph 2 Allaart, Pieter C. 2 Bayart, Frédéric 2 Bondarenko, Andriy V. 2 Brevig, Ole Fredrik 2 Car, Mireille 2 Chandee, Vorrapan 2 Chen, Binglong 2 Deshouillers, Jean-Marc 2 Downey, Rodney Graham 2 Feng, Shaoji 2 Frerick, Leonhard 2 Galbraith, Steven D. 2 García, Domingo 2 Giri, Sumit 2 Gonek, Steven M. 2 Gong, Ming-Liang 2 Grandoni, Fabrizio 2 Granville, Andrew James 2 Gupta, Sushma 2 Hashimoto, Masahiro 2 He, Jianxun 2 Heath-Brown, David Roger 2 Huang, TiRen 2 Iwaniec, Henryk 2 Jia, Weijia 2 Karp, Dmitriĭ Borisovich 2 Kayumov, Il’giz Rifatovich 2 Kühleitner, Manfred 2 Laishram, Shanta 2 Lee, Hyangsook 2 Li, Hailong 2 Mahatab, Kamalakshya 2 Mazumdar, Eshita 2 Menezes, Alfred J. 2 Minamide, T. Makoto 2 Mukhopadhyay, Anirban 2 Munsch, Marc 2 Naik, Swatee 2 Niedermeier, Rolf 2 Pandey, Prem Prakash 2 Park, Cheol Min 2 Queffélec, Hervé 2 Ralaivaosaona, Dimbinaina 2 Raman, Venkatesh ...and 374 more Authors all top 5 Cited in 127 Serials 32 Journal of Number Theory 20 Journal of Mathematical Analysis and Applications 13 Functiones et Approximatio. Commentarii Mathematici 12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 11 Archiv der Mathematik 8 Mathematics of Computation 7 Monatshefte für Mathematik 7 Proceedings of the American Mathematical Society 6 Lithuanian Mathematical Journal 6 International Journal of Number Theory 5 Israel Journal of Mathematics 5 Applied Mathematics and Computation 5 Transactions of the American Mathematical Society 5 Indagationes Mathematicae. 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Serie IV 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Theoretical Computer Science 2 Constructive Approximation 2 Mathematical and Computer Modelling 2 SIAM Journal on Discrete Mathematics 2 Journal of Cryptology 2 Multidimensional Systems and Signal Processing 2 International Journal of Computer Mathematics 2 Applicable Algebra in Engineering, Communication and Computing 2 Potential Analysis 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Computational Methods and Function Theory 2 Central European Journal of Mathematics 2 Journal of Discrete Algorithms 2 Complex Variables and Elliptic Equations 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Linear and Multilinear Algebra 1 The Mathematical Gazette 1 Periodica Mathematica Hungarica 1 Mathematics Magazine 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. 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Nova Série 1 Annales Mathématiques Blaise Pascal 1 Kyushu Journal of Mathematics 1 The Electronic Journal of Combinatorics ...and 27 more Serials all top 5 Cited in 37 Fields 244 Number theory (11-XX) 44 Functions of a complex variable (30-XX) 42 Special functions (33-XX) 30 Computer science (68-XX) 29 Algebraic geometry (14-XX) 27 Information and communication theory, circuits (94-XX) 25 Combinatorics (05-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Real functions (26-XX) 10 Functional analysis (46-XX) 8 Group theory and generalizations (20-XX) 7 Numerical analysis (65-XX) 6 Operator theory (47-XX) 5 Approximations and expansions (41-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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