Finite Ramanujan expansions and shifted convolution sums of arithmetical functions, II

Giovanni Coppola, M. Ram Murty

Type: Article

Publication Date: 2017-10-14

Citations: 4

DOI: https://doi.org/10.1016/j.jnt.2017.09.022

View Publication

Locations

Journal of Number Theory - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Finite Ramanujan expansions and shifted convolution sums of arithmetical functions	2016	Giovanni Coppola M. Ram Murty Biswajyoti Saha
+ PDF Chat	On the error term in a Parseval type formula in the theory of Ramanujan expansions	2015	Giovanni Coppola M. Ram Murty Biswajyoti Saha
+	On Ramanujan-Fourier expansions	2023	David T. Nguyen
+	On the error term in a Parseval type formula in the theory of Ramanujan expansions II	2015	Giovanni Coppola M. Ram Murty Biswajyoti Saha
+ PDF Chat	Ramanujan series for arithmetical functions	2013	M. Ram Murty
+	AFFINE CONVOLUTIONS, RAMANUJAN–FOURIER EXPANSIONS AND SOPHIE GERMAIN PRIMES	2022	ELIEZER FUENTES
+	Ramanujan expansions of bounded arithmetic functions	1980	J. Spilker
+	A SURVEY OF RAMANUJAN EXPANSIONS	2010	Lutz Lucht
+	Ramanujan Expansions of Certain Arithmetic Functions	2018	R. Sivaramakrishnan
+	Ramanujan Expansions of Multiplicative Arithmetic Functions	2019	R. Sivaramakrishnan
+ PDF Chat	On Ramanujan expansions of certain arithmetical functions	1976	Hubert Delange
+	A note on arithmetical functions with absolutely convergent Ramanujan expansions	2015	Biswajyoti Saha
+	A map of Ramanujan expansions	2017	Giovanni Coppola
+ PDF Chat	Some asymptotic formulae involving Cohen-Ramanujan expansions	2024	Arya Chandran K Vishnu Namboothiri
+ PDF Chat	On a Ramanujan type expansion of arithmetical functions	2023	Arya Chandran K Vishnu Namboothiri
+ PDF Chat	On Ramanujan smooth expansions for a general arithmetic function	2024	Giovanni Coppola
+	Chapter 13 of Ramanujan's second notebook: integrals and asymptotic expansions	1984	Bruce C. Berndt Ronald J. Evans
+ PDF Chat	Ramanujan expansions of multiplicative functions	1983	Richard Warlimont
+	On asymptotics of shifted sums of Dirichlet convolutions	2023	Jiseong Kim
+	A smooth summation of Ramanujan expansions	2020	Giovanni Coppola

Works That Cite This (4)

Action	Title	Year	Authors
+	AFFINE CONVOLUTIONS, RAMANUJAN–FOURIER EXPANSIONS AND SOPHIE GERMAIN PRIMES	2022	ELIEZER FUENTES
+	On Ramanujan expansions with multiplicative coefficients	2021	Maurizio Laporta
+ PDF Chat	An elementary property of correlations	2019	Giovanni Coppola
+ PDF Chat	On Ramanujan expansions and primes in arithmetic progressions	2024	Maurizio Laporta

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	On the error term in a Parseval type formula in the theory of Ramanujan expansions	2015	Giovanni Coppola M. Ram Murty Biswajyoti Saha
+ PDF Chat	Primes in tuples III: On the difference {$p_{n + \nu}- p_n$}	2006	D. A. Goldston J. Pintz C. Y. Yildirim
+	Ramanujan — Fourier series and a theorem of Ingham	2014	H. Gopalakrishna Gadiyar M. Ram Murty R. Padma
+	Expansions of Arithmetical Functions in Infinite Series	1932	R. D. Carmichael
+	Higher correlations of divisor sums related to primes III: small gaps between primes	2007	D. A. Goldston C. Y. Yıldırım
+ PDF Chat	Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes	1923	G. H. Hardy J. E. Littlewood
+ PDF Chat	Primes in tuples II	2010	D. A. Goldston J. Pintz C. Y. Yıldırım
+ PDF Chat	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao
+ PDF Chat	Small gaps between primes	2014	James Maynard
+	Finite Ramanujan expansions and shifted convolution sums of arithmetical functions	2016	Giovanni Coppola M. Ram Murty Biswajyoti Saha