Results 61 to 70 of about 427 (155)
Finite trigonometric sums arising from Ramanujan's theta functions [PDF]
, 2022 Bruce C. Berndt +2 more
openalex +1 more source
Ramanujan’s convolution sum twisted by Dirichlet characters
International Journal of Number Theory, 2019 We find formulas for convolutions of sum of divisor functions twisted by the Dirichlet character [Formula: see text], which are analogous to Ramanujan’s formula for convolution of usual sum of divisor functions. We use the theory of modular forms to prove our results.
Aygin, Zafer Selcuk, Hong, Nankun
openaire +2 more sources
𝑁-tuple sum analogues for Ramanujan-type congruences
Proceedings of the American Mathematical Society, 2022 In this paper we prove supercongruence relations for truncated N N -tuple sums of basic hypergeometric series. As an application, we give double, triple, and quadruple sum analogues of some Ramanujan-type supercongruences.
openaire +3 more sources
Sums of averages of generalized Ramanujan sums
Journal of Number Theory, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Some convolution identities based upon Ramanujan's bilateral sum [PDF]
, 1994 H. M. Srivastava
openalex +1 more source
Discussing Hindu Studies From the Inside Out
Religious Studies Review, Volume 51, Issue 2, Page 373-385, June 2025.
Divya Cherian +3 more
wiley +1 more source
An analogue of Ramanujan's sum with respect to regular integers (mod\n $r$) [PDF]
, 2010 Pentti Haukkanen, László Tóth
openalex +2 more sources
, 2019 The primary Carmichael numbers were recently introduced as a special subset of the Carmichael numbers. A primary Carmichael number $m$ has the unique property that for each prime factor $p$ the sum of the base-$p$ digits of $m$ equals $p$. The first such
Kellner, Bernd C.
core
Properties of Lerch Sums and Ramanujan's Mock Theta Functions [PDF]
, 2018 Nikos Bagis
openalex +1 more source
An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a "Weltkonstante"-or-how Ramanujan split temperatures. [PDF]
Ramanujan J, 2021 Faulhuber M.
europepmc +1 more source