Zobrazeno 1 - 10
of 23
pro vyhledávání: '"K. R. Vasuki"'
Autor:
K. R., Vasuki1 vasukUkr@hotmail.com, A., Darshan2 darshmath@gmail.com
Publikováno v:
Journal of Ramanujan Society of Mathematics & Mathematical Sciences. 2022, Vol. 9 Issue 2, p1-10. 10p.
Autor:
K. R. Vasuki, G. Vinay
Publikováno v:
The Journal of Analysis. 30:1485-1495
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0abeb25938a3dd175f68b5e10c64194a
https://doi.org/10.1007/s41478-022-00414-0
https://doi.org/10.1007/s41478-022-00414-0
Autor:
K. Pushpa, K. R. Vasuki
Publikováno v:
Arabian Journal of Mathematics. 11:355-378
Ramanujan recorded Eisenstein series identities of level 5 of weight 2. The objective of this article is to prove these identities by classical method and also we find some new Eisenstein series identities for level 7. Finally we make use of these re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d3916003a0054b8a5bdc5c3521e84d5
https://doi.org/10.1007/s40065-022-00360-6
https://doi.org/10.1007/s40065-022-00360-6
Autor:
K. Pushpa, K. R. Vasuki
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 53:1110-1121
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f887bdc29ed75fc172e0a9eba4bbaef
https://doi.org/10.1007/s13226-022-00222-z
https://doi.org/10.1007/s13226-022-00222-z
Autor:
K. R. Vasuki, A. I. Vijaya Shankar
Publikováno v:
Indian Journal of Pure and Applied Mathematics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69c870ab75651ecbd9e0da8f709a24ba
https://doi.org/10.1007/s13226-022-00323-9
https://doi.org/10.1007/s13226-022-00323-9
Autor:
K. R. Vasuki, M. V. Yathirajsharma
Publikováno v:
The Ramanujan Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9eae5441ca3cc9f4477dd8b1d07cdd13
https://doi.org/10.1007/s11139-022-00630-z
https://doi.org/10.1007/s11139-022-00630-z
Autor:
K. R. Vasuki, K. Pushpa
Publikováno v:
Glasgow Mathematical Journal. 64:434-453
The article focuses on the evaluation of convolution sums $${W_k}(n): = \mathop \sum \nolimits_{_{m < {n \over k}}} \sigma (m)\sigma (n - km)$$ involving the sum of divisor function $$\sigma (n)$$ for k =21, 33, and 35. In this article, our aim is to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9da63c494e5d2bc44715f87087688fde
https://doi.org/10.1017/s0017089521000203
https://doi.org/10.1017/s0017089521000203
Publikováno v:
The Ramanujan Journal. 57:931-948
The mathematics literature contains many generalized trigonometric sums which are evaluated through contour integration methods, algebraic methods or through discrete Fourier analysis methods. The purpose of this paper is to show how Ramanujan’s th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::365a4eca68a5e8892afa30f9dd9eb75b
https://doi.org/10.1007/s11139-020-00349-9
https://doi.org/10.1007/s11139-020-00349-9
Autor:
K. R. Vasuki, M. V. Yathirajsharma
Publikováno v:
The Ramanujan Journal. 56:743-752
On page 237–238 of his second notebook, Ramanujan recorded five modular equations of composite degree 25. Berndt proved all these using the method of parametrization. He also expressed that his proofs undoubtedly often stray from the path followed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd89178c34ae9a02cc1f36f11d9ec29d
https://doi.org/10.1007/s11139-020-00276-9
https://doi.org/10.1007/s11139-020-00276-9
Autor:
K. R. Vasuki, Mahadevaswamy
Publikováno v:
The Ramanujan Journal. 51:553-561
In this paper, we prove six Ramanujan’s modular equations of septic degree by employing Ramanujan’s $$_1\psi _1$$ summation formula and certain theta function identities.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d7bbc72f3babfe0a0031ed8379a48e9
https://doi.org/10.1007/s11139-018-0118-4
https://doi.org/10.1007/s11139-018-0118-4