ARITHMETICAL FOURIER SERIES AND THE MODULAR RELATION-Reference-Cited by-同舟云学术

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ARITHMETICAL FOURIER SERIES AND THE MODULAR RELATION

Published:2012 Issue:2 Volume:66 Page:411-427
ISSN:1340-6116
Container-title:Kyushu Journal of Mathematics
language:en
Short-container-title:Kyushu J. Math.

Author:

CHAKRABORTY K.,KANEMITSU S.,TSUKADA H.

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/kyushujm/66/2/66_411/_pdf

Reference21 articles.

1. [Ber1] B. C. Berndt. Periodic Bernoulli numbers, Summation Formulas and Applications: Theory and Application of Special Functions. Academic Press, New York, 1975.

2. [Ber2] B. C. Berndt. Classical theorems on quadratic residues. Enseign. Math. (2) 22 (1976), 261-304.

3. [Vi2] K. Chakraborty, S. Kanemitsu and H. Tsukada. Vistas of Special Functions II. World Scientific, Singapore, 2009.

4. [Dav1] H. Davenport. On some infinite series involving arithmetic functions. Quart. J. Math. 8 (1937), 8-13, and in Collected Papers of H. Davenport IV, Academic Press London, 1977, pp. 1781-1786.

5. [Dav2] H. Davenport. On some infinite series involving arithmetic functions II, Quart. J. Math. 8 (1937), 313-320, and in Collected Papers of H. Davenport IV, Academic Press, London, 1977, pp. 1787-1794.

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1. On Popov's explicit formula and the Davenport expansion;Czechoslovak Mathematical Journal;2023-03-08

2. On arithmetic series involving the fractional part function;Tsukuba Journal of Mathematics;2022-07-01

3. A generalized Davenport expansion;Proceedings of the Edinburgh Mathematical Society;2021-08

4. A note on arithmetic Diophantine series;Czechoslovak Mathematical Journal;2021-06-30

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