Averages of Ramanujan sums: note on two papers by E. Alkan

DOI10.1007/S11139-014-9577-4zbMath1322.11009arXiv1305.6018OpenAlexW3103380722MaRDI QIDQ2254856

László Tóth

Publication date: 6 February 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6018

zbMATH Keywords

gamma functionRamanujan sumsBernoulli numbers and polynomialsJordan's functionweighted averages of Ramanujan sums

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Arithmetic functions; related numbers; inversion formulas (11A25) Trigonometric and exponential sums (general theory) (11L03)

Related Items (7)

On the polynomial Ramanujan sums over finite fields ⋮ Sums of averages of generalized Ramanujan sums ⋮ Unnamed Item ⋮ Sums of logarithmic averages of gcd-sum functions ⋮ On the mean square average of Dirichlet \(L\)-function over characters of odd parity in a special case ⋮ Certain weighted averages of generalized Ramanujan sums ⋮ ON AN APPLICATION OF EXTENDED RAMANUJAN SUMS

Cites Work

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• On the mean square average of special values of \(L\)-functions
• Distribution of averages of Ramanujan sums
• Some Remarks on a Paper of V. A. Liskovets
• Some remarks on Ramanujan sums and cyclotomic polynomials
• The discrete Fourier transform of $r$-even functions
• RAMANUJAN SUMS AND THE BURGESS ZETA FUNCTION
• A Multivariate Arithmetic Function of Combinatorial and Topological Significance
• DEFINING POWER SUMS OF n AND φ(n) INTEGERS
• Number Theory

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