Trigonometric sums through Ramanujan’s theory of theta functions-Reference-Cited by-同舟云学术

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Trigonometric sums through Ramanujan’s theory of theta functions

Published:2021-02-18 Issue: Volume: Page:
ISSN:1382-4090
Container-title:The Ramanujan Journal
language:en
Short-container-title:Ramanujan J

Author:

Harshitha K. N.,Vasuki K. R.,Yathirajsharma M. V.

Funder

University Grants Commission

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s11139-020-00349-9.pdf

Reference15 articles.

1. Acton, F.S., Rosser, J.B., Underwood, F.: Advanced problems and solutions: solutions: 4420. Am. Math. Monthly 59(5), 337–338 (1952)

2. Bailey, W.N.: Series of hypergeometric type which are infinite in both direction. Q. J. Math. 7, 105–115 (1936)

3. Bailey, W.N.: A further note on two of Ramanujan’s formulae Quart. J. Math. 3, 158–160 (1952)

4. Beck, M., Berndt, B.C., Chan, O.-Y., Zaharescu, A.: Determinations of analogues of Gauss sums and other trigonometric sums. Int. J. Number Theory 1(3), 333–356 (2005)

5. Beck, M., Mary, Halloran: Finite trigonometric character sums via discrete Fourier analysis. Int. J. Number Theory 6, 51–67 (2010)

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1. On a finite sum of cosecants appearing in various problems;Journal of Mathematical Analysis and Applications;2024-11

2. Evaluations and relations for finite trigonometric sums;Research in the Mathematical Sciences;2024-08-19

3. Finite trigonometric sums arising from Ramanujan’s theta functions;The Ramanujan Journal;2023-09-12

4. ON CERTAIN q-TRIGONOMETRIC IDENTITIES ANALOGOUS TO THAT OF GOSPER’S;Rocky Mountain Journal of Mathematics;2023-04-01

5. Human and automated approaches for finite trigonometric sums;The Ramanujan Journal;2022-12-02

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