CONSTRUCTION OF DIFFERENTIAL IDENTITIES INVOLVING η-FUNCTIONS AND THE ASSESSMENT OF CONVOLUTION SUM

H. C. Vidya*, Pragathi B. Shetty*, B. Ashwath Rao*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In his notebooks, Ramanujan recorded an extensive list of sophisticated correlations pertaining to the Eisenstein series. Shaun cooper mentioned various identities in his book, including Eisenstein series of level 10 and k-functions. In this article, we show a few application of these series in the invention of equations that involves class one infinite series and k-functions. Additionally, we generate numerous differential identities that involves k-functions. We supply an elementary method of determining a discrete convolution sum by utilizing relations including Eisenstein series and k-functions and assess a visually appealing representation for the discrete convolution sum.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalGlobal and Stochastic Analysis
Volume12
Issue number1
Publication statusPublished - 01-2025

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Discrete Mathematics and Combinatorics

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