On the error term in a Parseval type formula in the theory of Ramanujan expansions. II.

DOI10.1016/J.JNT.2015.09.023zbMath1396.11005arXiv1507.07862OpenAlexW4243710577MaRDI QIDQ897574

Giovanni Coppola, Biswajyoti Saha, M. Ram Murty

Publication date: 7 December 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07862

zbMATH Keywords

error termsRamanujan expansionsParseval type formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic functions in probabilistic number theory (11K65)

Related Items (7)

Finite Ramanujan expansions and shifted convolution sums of arithmetical functions. II. ⋮ AFFINE CONVOLUTIONS, RAMANUJAN–FOURIER EXPANSIONS AND SOPHIE GERMAIN PRIMES ⋮ On the Hardy-Littlewood prime tuples conjecture and higher convolutions of Ramanujan sums ⋮ Correlations and distribution of essentially bounded functions in short intervals ⋮ Finite Ramanujan expansions and shifted convolution sums of arithmetical functions ⋮ On correlations of certain multiplicative functions ⋮ A note on arithmetical functions with absolutely convergent Ramanujan expansions

Cites Work

• On the error term in a Parseval type formula in the theory of Ramanujan expansions
• A note on arithmetical functions with absolutely convergent Ramanujan expansions
• Ramanujan-Fourier series and a theorem of Ingham
• Unnamed Item

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