Venkatasubbareddy, Kampamolla; Sankaranarayanan, Ayyadurai On certain kernel functions and shifted convolution sums of the Fourier coefficients. (English) Zbl 07802066 J. Number Theory 258, 414-450 (2024). MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{K. Venkatasubbareddy} and \textit{A. Sankaranarayanan}, J. Number Theory 258, 414--450 (2024; Zbl 07802066) Full Text: DOI arXiv
Sharma, Anubhav; Sankaranarayanan, Ayyadurai On a general divisor problem related to a certain Dedekind zeta-function over a specific sequence of positive integers. (English) Zbl 07809569 Hardy-Ramanujan J. 46, 23-41 (2023). MSC: 11F30 11R42 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, Hardy-Ramanujan J. 46, 23--41 (2023; Zbl 07809569) Full Text: DOI
Sharma, Anubhav; Sankaranarayanan, Ayyadurai On a divisor problem related to a certain Dedekind zeta-function. (English) Zbl 07738499 J. Ramanujan Math. Soc. 38, No. 2, 183-194 (2023). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11N37 11F66 11F30 11R42 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, J. Ramanujan Math. Soc. 38, No. 2, 183--194 (2023; Zbl 07738499) Full Text: Link
Sharma, Anubhav; Sankaranarayanan, Ayyadurai On the average behavior of the Fourier coefficients of \(j\)th symmetric power \(L\)-function over certain sequences of positive integers. (English) Zbl 07729543 Czech. Math. J. 73, No. 3, 885-901 (2023). MSC: 11M06 11F11 11F30 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, Czech. Math. J. 73, No. 3, 885--901 (2023; Zbl 07729543) Full Text: DOI arXiv
Venkatasubbareddy, Kampamolla; Sankaranarayanan, Ayyadurai On the average behavior of coefficients related to triple product \(L\)-functions. (English) Zbl 1523.11081 Funct. Approximatio, Comment. Math. 68, No. 2, 195-206 (2023). MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{K. Venkatasubbareddy} and \textit{A. Sankaranarayanan}, Funct. Approximatio, Comment. Math. 68, No. 2, 195--206 (2023; Zbl 1523.11081) Full Text: DOI arXiv
Kaur, A.; Sankaranarayanan, A. On the Rankin-Selberg \(L\)-function related to the Godement-Jacquet \(L\)-function. (English) Zbl 1524.11102 Acta Math. Hung. 169, No. 1, 88-107 (2023). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F30 11F66 11N75 PDFBibTeX XMLCite \textit{A. Kaur} and \textit{A. Sankaranarayanan}, Acta Math. Hung. 169, No. 1, 88--107 (2023; Zbl 1524.11102) Full Text: DOI
Sharma, A.; Sankaranarayanan, A. Higher moments of the Fourier coefficients of symmetric square \(L\)-functions on certain sequence. (English) Zbl 1515.11047 Rend. Circ. Mat. Palermo (2) 72, No. 2, 1399-1416 (2023). MSC: 11F66 11F30 11M06 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, Rend. Circ. Mat. Palermo (2) 72, No. 2, 1399--1416 (2023; Zbl 1515.11047) Full Text: DOI
Venkatasubbareddy, Kampamolla; Sankaranarayanan, Ayyadurai On the tetra, penta, hexa, hepta and octa product \(L\)-functions. (English) Zbl 07669897 Eur. J. Math. 9, No. 1, Paper No. 17, 24 p. (2023). MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{K. Venkatasubbareddy} and \textit{A. Sankaranarayanan}, Eur. J. Math. 9, No. 1, Paper No. 17, 24 p. (2023; Zbl 07669897) Full Text: DOI
Sankaranarayanan, Ayyadurai; Vaishya, Lalit On the coefficients of \(\ell\)-fold product \(L\)-function. arXiv:2307.13439 Preprint, arXiv:2307.13439 [math.NT] (2023). MSC: 11F30 11F11 11M06 11N37 BibTeX Cite \textit{A. Sankaranarayanan} and \textit{L. Vaishya}, ``On the coefficients of $\ell$-fold product $L$-function'', Preprint, arXiv:2307.13439 [math.NT] (2023) Full Text: arXiv OA License
Kaur, Amrinder; Sankaranarayanan, Ayyadurai Godement-Jacquet \(L\)-function, some conjectures and some consequences. (English) Zbl 1517.11108 Hardy-Ramanujan J. 45, 42-56 (2022). MSC: 11M06 11F30 11N75 PDFBibTeX XMLCite \textit{A. Kaur} and \textit{A. Sankaranarayanan}, Hardy-Ramanujan J. 45, 42--56 (2022; Zbl 1517.11108) Full Text: arXiv Link
Sharma, Anubhav; Sankaranarayanan, Ayyadurai Average behavior of the Fourier coefficients of the symmetric square \(L\)-function over some sequence of integers. (English) Zbl 1511.11043 Integers 22, Paper A74, 17 p. (2022). Reviewer: Sami Omar (Sukhair) MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, Integers 22, Paper A74, 17 p. (2022; Zbl 1511.11043) Full Text: Link
Sharma, Anubhav; Sankaranarayanan, Ayyadurai Discrete mean square of the coefficients of symmetric square \(L\)-functions on certain sequence of positive numbers. (English) Zbl 1498.11177 Res. Number Theory 8, No. 1, Paper No. 19, 13 p. (2022). Reviewer: Goran Muić (Zagreb) MSC: 11M06 11F66 11F70 PDFBibTeX XMLCite \textit{A. Sharma} and \textit{A. Sankaranarayanan}, Res. Number Theory 8, No. 1, Paper No. 19, 13 p. (2022; Zbl 1498.11177) Full Text: DOI
Paul, Biplab; Sankaranarayanan, Ayyadurai On the error term and zeros of the Dedekind zeta function. (English) Zbl 1448.11203 J. Number Theory 215, 98-119 (2020). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11M41 PDFBibTeX XMLCite \textit{B. Paul} and \textit{A. Sankaranarayanan}, J. Number Theory 215, 98--119 (2020; Zbl 1448.11203) Full Text: DOI
Sankaranarayanan, A.; Singh, Saurabh Kumar; Srinivas, K. Discrete mean square estimates for coefficients of symmetric power \(L\)-functions. (English) Zbl 1465.11109 Acta Arith. 190, No. 2, 193-208 (2019). Reviewer: Cherng-tiao Perng (Norfolk) MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{A. Sankaranarayanan} et al., Acta Arith. 190, No. 2, 193--208 (2019; Zbl 1465.11109) Full Text: DOI
Saha, Biswajyoti; Sankaranarayanan, Ayyadurai On estimates of the Mertens function. (English) Zbl 1441.11207 Int. J. Number Theory 15, No. 2, 327-337 (2019). MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{B. Saha} and \textit{A. Sankaranarayanan}, Int. J. Number Theory 15, No. 2, 327--337 (2019; Zbl 1441.11207) Full Text: DOI
Lü, Guangshi; Sankaranarayanan, Ayyadurai On the coefficients of triple product \(L\)-functions. (English) Zbl 1430.11058 Rocky Mt. J. Math. 47, No. 2, 553-570 (2017). MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{G. Lü} and \textit{A. Sankaranarayanan}, Rocky Mt. J. Math. 47, No. 2, 553--570 (2017; Zbl 1430.11058) Full Text: DOI Euclid
Sankaranarayanan, Ayyadurai A generalisation of a theorem of Littlewood. (English) Zbl 1418.11121 Murty, Vijaya Kumar (ed.) et al., Highly composite: papers in number theory. On the occasion of R. Balsubramanian’s 60th birth anniversary. Including papers from the international meeting on number theory, Harish-Chandra Research Institute, Allahabad, India, December 15–20, 2011. Mysore: Ramanujan Mathematical Society. Ramanujan Math. Soc. Lect. Notes Ser. 23, 87-91 (2016). MSC: 11M06 11M41 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Ramanujan Math. Soc. Lect. Notes Ser. 23, 87--91 (2016; Zbl 1418.11121)
Sankaranarayanan, A. [Ramachandra, K.] Contributions of Ramachandra to the theory of the Riemann zeta-function. (English) Zbl 1412.11092 Hardy-Ramanujan J. 39, 46-62 (2016). MSC: 11M06 11M41 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Hardy-Ramanujan J. 39, 46--62 (2016; Zbl 1412.11092)
Lao, Huixue; Sankaranarayanan, Ayyadurai Integral mean square estimation for the error term related to \(\sum_{n\leq x}\lambda ^2 (n^2)\). (English) Zbl 1388.11016 Sci. China, Math. 58, No. 10, 2125-2132 (2015). MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{H. Lao} and \textit{A. Sankaranarayanan}, Sci. China, Math. 58, No. 10, 2125--2132 (2015; Zbl 1388.11016) Full Text: DOI
Lü, Guangshi; Sankaranarayanan, Ayyadurai Higher moments of Fourier coefficients of cusp forms. (English) Zbl 1385.11021 Can. Math. Bull. 58, No. 3, 548-560 (2015). MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{G. Lü} and \textit{A. Sankaranarayanan}, Can. Math. Bull. 58, No. 3, 548--560 (2015; Zbl 1385.11021) Full Text: DOI
Jia, Chaohua; Sankaranarayanan, Ayyadurai The mean square of the divisor function. (English) Zbl 1320.11081 Acta Arith. 164, No. 2, 181-208 (2014). Reviewer: Florian Luca (Morelia) MSC: 11M06 PDFBibTeX XMLCite \textit{C. Jia} and \textit{A. Sankaranarayanan}, Acta Arith. 164, No. 2, 181--208 (2014; Zbl 1320.11081) Full Text: DOI arXiv
Lao, Huixue; Sankaranarayanan, Ayyadurai The distribution of Fourier coefficients of cusp forms over sparse sequences. (English) Zbl 1303.11055 Acta Arith. 163, No. 2, 101-110 (2014). Reviewer: Günter Köhler (Würzburg) MSC: 11F30 11F66 PDFBibTeX XMLCite \textit{H. Lao} and \textit{A. Sankaranarayanan}, Acta Arith. 163, No. 2, 101--110 (2014; Zbl 1303.11055) Full Text: DOI
Prasad, D. (ed.); Rajan, C. S. (ed.); Sankaranarayanan, A. (ed.); Sengupta, J. (ed.) Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. (English) Zbl 1293.11002 Studies in Mathematics. Tata Institute of Fundamental Research 22. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). xiv, 696 p. (2013). MSC: 11-06 00B25 11Fxx 11Mxx PDFBibTeX XMLCite \textit{D. Prasad} (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (2013; Zbl 1293.11002)
Sankaranarayanan, Ayyadurai On the estimation of nonlinear twists of the Liouville function. (English) Zbl 1300.11084 Ill. J. Math. 56, No. 2, 551-569 (2012). Reviewer: Michael Th. Rassias (Princeton) MSC: 11L07 11M06 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Ill. J. Math. 56, No. 2, 551--569 (2012; Zbl 1300.11084) Full Text: Euclid
Lao, Huixue; Sankaranarayanan, Ayyadurai On the mean-square of the error term related to \(\sum_{n\leq x} \lambda^2 (n^j)\). (English) Zbl 1232.11061 Sci. China, Math. 54, No. 5, 855-864 (2011). Reviewer: Aleksandar Ivić (Beograd) MSC: 11F66 11F11 11F30 11M06 PDFBibTeX XMLCite \textit{H. Lao} and \textit{A. Sankaranarayanan}, Sci. China, Math. 54, No. 5, 855--864 (2011; Zbl 1232.11061) Full Text: DOI
Choie, Y. J.; Sankaranarayanan, A.; Sengupta, J. On the sign changes of Hecke eigenvalues. (English) Zbl 1247.11077 Adhikari, Sukumar Das (ed.) et al., Number theory and applications. Proceedings of the international conferences on number theory and cryptography, Allahabad, India, December 2006 and February 2007. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-97-5/hbk). 25-32 (2009). Reviewer: Yuk-Kam Lau (Pokfulam) MSC: 11F66 11M41 PDFBibTeX XMLCite \textit{Y. J. Choie} et al., in: Number theory and applications. Proceedings of the international conferences on number theory and cryptography, Allahabad, India, December 2006 and February 2007. New Delhi: Hindustan Book Agency. 25--32 (2009; Zbl 1247.11077)
Lao, Huixue; Sankaranarayanan, Ayyadurai The average behavior of Fourier coefficients of cusp forms over sparse sequences. (English) Zbl 1225.11059 Proc. Am. Math. Soc. 137, No. 8, 2557-2565 (2009). MSC: 11F30 11F11 11F66 PDFBibTeX XMLCite \textit{H. Lao} and \textit{A. Sankaranarayanan}, Proc. Am. Math. Soc. 137, No. 8, 2557--2565 (2009; Zbl 1225.11059) Full Text: DOI
Sankaranarayanan, A. Higher moments of certain \(L\)-functions on the critical line. (English) Zbl 1291.11115 Lith. Math. J. 47, No. 3, 277-310 (2007); reprint Liet. Mat. Rink. 47, No. 3, 341-380 (2007). MSC: 11M06 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Lith. Math. J. 47, No. 3, 277--310 (2007; Zbl 1291.11115) Full Text: DOI
Sankaranarayanan, A.; Sengupta, J. Zero-density estimate of \(L\)-functions attached to Maass forms. (English) Zbl 1137.11035 Acta Arith. 127, No. 3, 273-284 (2007). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11F66 11M41 PDFBibTeX XMLCite \textit{A. Sankaranarayanan} and \textit{J. Sengupta}, Acta Arith. 127, No. 3, 273--284 (2007; Zbl 1137.11035) Full Text: DOI
Sankaranarayanan, A. On a sum involving Fourier coefficients of cusp forms. (English) Zbl 1162.11337 Lith. Math. J. 46, No. 4, 459-474 (2006) and Liet. Mat. Rink. 46, No. 4, 565-583 (2006). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 11F30 11F66 11F11 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Lith. Math. J. 46, No. 4, 459--474 (2006; Zbl 1162.11337) Full Text: DOI
Sankaranarayanan, Ayyadurai; Sengupta, Jyothi Omega theorems for a class of \(L\)-functions. (A note on the Rankin-Selberg zeta-function). (English) Zbl 1163.11041 Funct. Approximatio, Comment. Math. 36, 119-131 (2006). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 11F66 11M41 11M06 PDFBibTeX XMLCite \textit{A. Sankaranarayanan} and \textit{J. Sengupta}, Funct. Approximatio, Comment. Math. 36, 119--131 (2006; Zbl 1163.11041) Full Text: DOI
Matsumoto, Kohji; Sankaranarayanan, A. On the mean square of standard \(L\)-functions attached to Ikeda lifts. (English) Zbl 1191.11016 Math. Z. 253, No. 3, 607-622 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 11F66 11M41 PDFBibTeX XMLCite \textit{K. Matsumoto} and \textit{A. Sankaranarayanan}, Math. Z. 253, No. 3, 607--622 (2006; Zbl 1191.11016) Full Text: DOI
Kohnen, W.; Sankaranarayanan, A.; Sengupta, J. The quadratic mean of automorphic \(L\)-functions. (English) Zbl 1109.11030 Böcherer, Siegfried (ed.) et al., Automorphic forms and zeta functions. In memory of Tsuneo Arakawa. Proceedings of the conference, Rikkyo University, Tokyo, Japan, September 4–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-632-5/hbk). 262-279 (2006). Reviewer: B. Z. Moroz (Bonn) MSC: 11F66 11M41 11F37 PDFBibTeX XMLCite \textit{W. Kohnen} et al., in: Automorphic forms and zeta functions. In memory of Tsuneo Arakawa. Proceedings of the conference, Rikkyo University, Tokyo, Japan, September 4--7, 2004. Hackensack, NJ: World Scientific. 262--279 (2006; Zbl 1109.11030)
Sankaranarayanan, A. On Hecke \(L\)-functions associated with cusp forms. II: On the sign changes of \(S_f(T)\). (English) Zbl 1220.11069 Ann. Acad. Sci. Fenn., Math. 31, No. 1, 213-238 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 11F66 11M41 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Ann. Acad. Sci. Fenn., Math. 31, No. 1, 213--238 (2006; Zbl 1220.11069) Full Text: EuDML EMIS
Garaev, M. Z.; Sankaranarayanan, A. The sum involving derivative of \(\zeta(s)\) over simple zeros. (English) Zbl 1168.11318 J. Number Theory 117, No. 1, 122-130 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 11M06 PDFBibTeX XMLCite \textit{M. Z. Garaev} and \textit{A. Sankaranarayanan}, J. Number Theory 117, No. 1, 122--130 (2006; Zbl 1168.11318) Full Text: DOI
Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. Notes on prime number theorem. II. (English) Zbl 1214.11104 J. Indian Math. Soc., New Ser. 72, No. 1-4, 13-18 (2005). Reviewer: Olaf Ninnemann (Berlin) MSC: 11N05 11M26 11N37 PDFBibTeX XMLCite \textit{K. Ramachandra} et al., J. Indian Math. Soc., New Ser. 72, No. 1--4, 13--18 (2005; Zbl 1214.11104)
Maier, H.; Sankaranarayanan, A. On an exponential sum involving the Möbius function. (English) Zbl 1115.11053 Hardy-Ramanujan J. 28, 10-29 (2005). Reviewer: Roger Heath-Brown (Oxford) MSC: 11M06 11L07 PDFBibTeX XMLCite \textit{H. Maier} and \textit{A. Sankaranarayanan}, Hardy-Ramanujan J. 28, 10--29 (2005; Zbl 1115.11053)
Maier, H.; Sankaranarayanan, A. On a certain general exponential sum. (English) Zbl 1107.11031 Int. J. Number Theory 1, No. 2, 183-192 (2005). Reviewer: Wolfgang Haneke (Marburg) MSC: 11L07 11M06 11N05 PDFBibTeX XMLCite \textit{H. Maier} and \textit{A. Sankaranarayanan}, Int. J. Number Theory 1, No. 2, 183--192 (2005; Zbl 1107.11031) Full Text: DOI
Maier, H.; Sankaranarayanan, A. On the error term of an asymptotic formula of Ramanujan. (English) Zbl 1079.11050 Acta Arith. 117, No. 2, 171-180 (2005). Reviewer: Ekkehard Krätzel (Jena) MSC: 11N37 11M06 11N05 PDFBibTeX XMLCite \textit{H. Maier} and \textit{A. Sankaranarayanan}, Acta Arith. 117, No. 2, 171--180 (2005; Zbl 1079.11050) Full Text: DOI
Sankaranarayanan, A. Mean-square upper bound of Hecke \(L\)-functions on the critical line. (English) Zbl 1075.11041 Hardy-Ramanujan J. 26, 2-17 (2003). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11F66 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Hardy-Ramanujan J. 26, 2--17 (2003; Zbl 1075.11041) Full Text: Link
Ramachandra, K.; Sankaranarayanan, A. On an asymptotic formula of Srinivasa Ramanujan. (English) Zbl 1036.11045 Acta Arith. 109, No. 4, 349-357 (2003). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N37 11N05 11M06 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Acta Arith. 109, No. 4, 349--357 (2003; Zbl 1036.11045) Full Text: DOI
Sankaranarayanan, A. On Hecke \(L\)-functions associated with cusp forms. (English) Zbl 1056.11028 Acta Arith. 108, No. 3, 217-234 (2003). Reviewer: Aleksandar Ivić (Beograd) MSC: 11F66 11F11 11M41 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Acta Arith. 108, No. 3, 217--234 (2003; Zbl 1056.11028) Full Text: DOI
Sankaranarayanan, A. Fundamental properties of symmetric square \(L\)-functions. II. (English) Zbl 1120.11036 Funct. Approximatio, Comment. Math. 30, 89-115 (2002). Reviewer: Roma Kacinskaite (Siauliai) MSC: 11M06 11F66 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Funct. Approximatio, Comment. Math. 30, 89--115 (2002; Zbl 1120.11036)
Sankaranarayanan, A. Fundamental properties of symmetric square \(L\)-functions. I. (English) Zbl 1116.11032 Ill. J. Math. 46, No. 1, 23-43 (2002). Reviewer: Roma Kačinskaitė (Vilnius) MSC: 11F66 11M06 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Ill. J. Math. 46, No. 1, 23--43 (2002; Zbl 1116.11032)
Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. Notes on the Riemann zeta-function. V. (English) Zbl 0998.11046 Hardy-Ramanujan J. 23, 2-9 (2000). Reviewer: Matti Jutila (Turku) MSC: 11M06 PDFBibTeX XMLCite \textit{R. Balasubramanian} et al., Hardy-Ramanujan J. 23, 2--9 (2000; Zbl 0998.11046)
Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. Notes on the Riemann zeta-function. IV. (English) Zbl 0960.11041 Hardy-Ramanujan J. 22, 34-41 (1999). MSC: 11M06 PDFBibTeX XMLCite \textit{R. Balasubramanian} et al., Hardy-Ramanujan J. 22, 34--41 (1999; Zbl 0960.11041)
Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. Notes on the Riemann zeta-function. III. (English) Zbl 0960.11040 Hardy-Ramanujan J. 22, 23-33 (1999). MSC: 11M06 PDFBibTeX XMLCite \textit{R. Balasubramanian} et al., Hardy-Ramanujan J. 22, 23--33 (1999; Zbl 0960.11040)
Ramachandra, K.; Sankaranarayanan, A. Notes on the Riemann zeta-function. II. (English) Zbl 0958.11059 Acta Arith. 91, No. 4, 351-365 (1999). Reviewer: M.Jutila (Turku) MSC: 11M06 11M41 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Acta Arith. 91, No. 4, 351--365 (1999; Zbl 0958.11059) Full Text: DOI EuDML
Sankaranarayanan, A.; Srinivas, K. On a method of Balasubramanian and Ramachandra (on the abelian group problem). (English) Zbl 0884.11040 Rend. Semin. Mat. Univ. Padova 97, 135-161 (1997). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N37 11N45 11M06 PDFBibTeX XMLCite \textit{A. Sankaranarayanan} and \textit{K. Srinivas}, Rend. Semin. Mat. Univ. Padova 97, 135--161 (1997; Zbl 0884.11040) Full Text: Numdam EuDML
Ramachandra, K.; Sankaranarayanan, A. Hardy’s theorem for zeta-function of quadratic forms. (English) Zbl 0864.11044 Proc. Indian Acad. Sci., Math. Sci. 106, No. 3, 217-226 (1996). Reviewer: A.Ivić (Beograd) MSC: 11M41 11E45 11M06 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Proc. Indian Acad. Sci., Math. Sci. 106, No. 3, 217--226 (1996; Zbl 0864.11044) Full Text: DOI
Ramachandra, K.; Sankaranarayanan, A.; Srinivas, K. Ramanujan’s lattice point problem, prime number theory and other remarks. (English) Zbl 0824.11061 Hardy-Ramanujan J. 19, 2-56 (1996). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11P21 11N05 11-02 11M26 11M20 11N25 PDFBibTeX XMLCite \textit{K. Ramachandra} et al., Hardy-Ramanujan J. 19, 2--56 (1996; Zbl 0824.11061)
Ramachandra, K.; Sankaranarayanan, A. On some theorems of Littlewood and Selberg. IV. (English) Zbl 0819.11030 Acta Arith. 70, No. 1, 79-84 (1995). Reviewer: K.Ramachandra (Bombay) MSC: 11M06 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Acta Arith. 70, No. 1, 79--84 (1995; Zbl 0819.11030) Full Text: DOI EuDML
Sankaranarayanan, A. Zeros of quadratic zeta-functions on the critical line. (English) Zbl 0819.11032 Acta Arith. 69, No. 1, 21-38 (1995). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11M41 11R42 11E45 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Acta Arith. 69, No. 1, 21--38 (1995; Zbl 0819.11032) Full Text: DOI EuDML
Ramachandra, K.; Sankaranarayanan, A. A remark on Vinogradov’s mean-value theorem. (English) Zbl 0869.11064 J. Anal. 3, 111-129 (1995). Reviewer: A.Ivić (Beograd) MSC: 11M06 11L07 11N05 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, J. Anal. 3, 111--129 (1995; Zbl 0869.11064)
Ramachandra, K.; Sankaranarayanan, A. On the zeros of a class of generalized Dirichlet series. XVI. (English) Zbl 0824.11051 Math. Scand. 75, No. 2, 178-184 (1994). Reviewer: K.Ramachandra (Bombay) MSC: 11M06 11M41 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Math. Scand. 75, No. 2, 178--184 (1994; Zbl 0824.11051) Full Text: DOI EuDML
Sankaranarayanan, A.; Srinivas, K. Mean-value theorem of Riemann zeta-function over short intervals. (English) Zbl 0786.11054 J. Number Theory 45, No. 3, 320-326 (1993). Reviewer: A.Perelli (Genova) MSC: 11M06 PDFBibTeX XMLCite \textit{A. Sankaranarayanan} and \textit{K. Srinivas}, J. Number Theory 45, No. 3, 320--326 (1993; Zbl 0786.11054) Full Text: DOI
Ramachandra, K.; Sankaranarayanan, A. On some theorems of Littlewood and Selberg. I. (English) Zbl 0778.11047 J. Number Theory 44, No. 3, 281-291 (1993). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, J. Number Theory 44, No. 3, 281--291 (1993; Zbl 0778.11047) Full Text: DOI
Balasubramanian, R.; Ramachandra, K.; Sankaranarayanan, A. On the frequency of Titchmarsh’s phenomenon for \(\zeta{}(s)\). VIII. (English) Zbl 0761.11033 Proc. Indian Acad. Sci., Math. Sci. 102, No. 1, 1-12 (1992). Reviewer: K.Ramachandra (Bombay) MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{R. Balasubramanian} et al., Proc. Indian Acad. Sci., Math. Sci. 102, No. 1, 1--12 (1992; Zbl 0761.11033) Full Text: DOI
Sankaranarayanan, A.; Srinivas, K. On the papers of Ramachandra and Kátai. (English) Zbl 0768.11032 Acta Arith. 62, No. 4, 373-382 (1992). Reviewer: A.Ivić (Beograd) MSC: 11M06 11N37 PDFBibTeX XMLCite \textit{A. Sankaranarayanan} and \textit{K. Srinivas}, Acta Arith. 62, No. 4, 373--382 (1992; Zbl 0768.11032) Full Text: DOI EuDML
Ramachandra, K.; Sankaranarayanan, A. Notes on the Riemann zeta-function. (English) Zbl 0807.11039 J. Indian Math. Soc., New Ser. 57, No. 1-4, 67-77 (1991). Reviewer: M.Jutila (Turku) MSC: 11M06 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, J. Indian Math. Soc., New Ser. 57, No. 1--4, 67--77 (1991; Zbl 0807.11039)
Ramachandra, K.; Sankaranarayanan, A. On some theorems of Littlewood and Selberg. III. (English) Zbl 0748.11043 Ann. Acad. Sci. Fenn., Ser. A I, Math. 16, No. 1, 139-149 (1991). Reviewer: M.Jutila (Turku) MSC: 11M41 11M06 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Ann. Acad. Sci. Fenn., Ser. A I, Math. 16, No. 1, 139--149 (1991; Zbl 0748.11043) Full Text: DOI
Ramachandra, K.; Sankaranarayanan, A. On some theorems of Littlewood and Selberg. II. (English) Zbl 0748.11042 Ann. Acad. Sci. Fenn., Ser. A I, Math. 16, No. 1, 131-137 (1991). Reviewer: Matti Jutila (Turku) MSC: 11M41 11M06 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Ann. Acad. Sci. Fenn., Ser. A I, Math. 16, No. 1, 131--137 (1991; Zbl 0748.11042) Full Text: DOI
Ramachandra, K.; Sankaranarayanan, A. Note on a paper by H. L. Montgomery (Omega theorems for the Riemann zeta- function). (English) Zbl 0743.11044 Publ. Inst. Math., Nouv. Sér. 50(64), 51-59 (1991). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Publ. Inst. Math., Nouv. Sér. 50(64), 51--59 (1991; Zbl 0743.11044) Full Text: EuDML
Ramachandra, K.; Sankaranarayanan, A. A remark on \(\zeta(2n)\). (English) Zbl 0635.10036 Indian J. Pure Appl. Math. 18, 891-895 (1987). Reviewer: Wolfgang Haneke (Marburg) MSC: 11M06 PDFBibTeX XMLCite \textit{K. Ramachandra} and \textit{A. Sankaranarayanan}, Indian J. Pure Appl. Math. 18, 891--895 (1987; Zbl 0635.10036)
Sankaranarayanan, A. An identity involving Riemann zeta function. (English) Zbl 0625.10031 Indian J. Pure Appl. Math. 18, 794-800 (1987). Reviewer: W.Haneke MSC: 11M06 11B39 PDFBibTeX XMLCite \textit{A. Sankaranarayanan}, Indian J. Pure Appl. Math. 18, 794--800 (1987; Zbl 0625.10031)