Ramanujan Theta Function Identities and Quadratic Numbers
Hemant Masal, Hemant Bhate, Subhash Kendre
TL;DR
This paper explores the connection between Ramanujan theta functions, their identities, and quadratic numbers, revealing new mathematical identities and generating functions related to these functions.
Contribution
It introduces new Ramanujan theta function identities and generating functions for quadratic numbers, expanding the theoretical understanding of these mathematical objects.
Findings
New Ramanujan theta function identities
Generation of functions for quadratic numbers
Eigenvector expressions of the discrete Fourier transform
Abstract
Eigenvectors of the discrete Fourier transform can be expressed using Ramanujan theta functions. New theta function identities, Ramanujan theta function identities, and generating functions for the quadratic numbers are a consequence.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Mathematical Theories and Applications