Trigonometric sums through Ramanujan's theory of theta functions
type: Item
instance of: scholarly article
title: Trigonometric sums through Ramanujan's theory of theta functions
zbMATH Open document ID: 1483.11168
author: K. N. Harshitha
author: K. R. Vasuki
author: M. V. Yathirajsharma
published in: The Ramanujan Journal
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 11F20
Mathematics Subject Classification ID: 33C75
zbMATH DE Number: 7490453
zbMATH Keywords: trigonometric sums
zbMATH Keywords: Ramanujan's general theta function
zbMATH Keywords: modular equations
MaRDI profile type: Publication
full work available at URL: s11139-020-00349-9
OpenAlex ID: W3132707220
cites work: SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
cites work: A FURTHER NOTE ON TWO OF RAMANUJAN'S FORMULAE
cites work: DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS
cites work: FINITE TRIGONOMETRIC CHARACTER SUMS VIA DISCRETE FOURIER ANALYSIS
cites work: Q4000402
cites work: Q4276250
cites work: Explicit evaluations and reciprocity theorems for finite trigonometric sums
cites work: Finite trigonometric sums and class numbers
cites work: A new class of theta-function identities originating in Ramanujan's notebooks
cites work: Weighted trigonometric sums over a half-period
cites work: Some Eisenstein series identities related to modular equations of the seventh order.
cites work: Q5513003
cites work: Ramanujan's Eisenstein series of level 7 and 14
DOI: 10.1007/S11139-020-00349-9
description: scientific article; zbMATH DE number 7490453