SPECIFIC CONVOLUTION SUMS AND DIFFERENTIAL COEFFICIENTS UTILIZING SERIES IDENTITIES

Rao B. Ashwath; H. C. Vidya

SPECIFIC CONVOLUTION SUMS AND DIFFERENTIAL COEFFICIENTS UTILIZING SERIES IDENTITIES

Rao B. Ashwath
, H. C. Vidya

Research output: Contribution to journal › Article › peer-review

Abstract

In his notebooks, Ramanujan noted various degrees of appealing Eisenstein series relations. In addition, Shaun Cooper mentioned a number of identities involving theta functions and Eisenstein series in his work.This work establishes certain differential identities involving Eisenstein series of various levels, eta-functions, and series identities. Additionally, the Eisenstein series of levels 5 and 7 is being used to evaluate the convolution sum.

Original language	English
Pages (from-to)	184-190
Number of pages	7
Journal	Global and Stochastic Analysis
Volume	12
Issue number	3
Publication status	Published - 05-2025

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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title = "SPECIFIC CONVOLUTION SUMS AND DIFFERENTIAL COEFFICIENTS UTILIZING SERIES IDENTITIES",

abstract = "In his notebooks, Ramanujan noted various degrees of appealing Eisenstein series relations. In addition, Shaun Cooper mentioned a number of identities involving theta functions and Eisenstein series in his work.This work establishes certain differential identities involving Eisenstein series of various levels, eta-functions, and series identities. Additionally, the Eisenstein series of levels 5 and 7 is being used to evaluate the convolution sum.",

author = "Ashwath, \{Rao B.\} and Vidya, \{H. C.\}",

year = "2025",

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AU - Ashwath, Rao B.

AU - Vidya, H. C.

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N2 - In his notebooks, Ramanujan noted various degrees of appealing Eisenstein series relations. In addition, Shaun Cooper mentioned a number of identities involving theta functions and Eisenstein series in his work.This work establishes certain differential identities involving Eisenstein series of various levels, eta-functions, and series identities. Additionally, the Eisenstein series of levels 5 and 7 is being used to evaluate the convolution sum.

AB - In his notebooks, Ramanujan noted various degrees of appealing Eisenstein series relations. In addition, Shaun Cooper mentioned a number of identities involving theta functions and Eisenstein series in his work.This work establishes certain differential identities involving Eisenstein series of various levels, eta-functions, and series identities. Additionally, the Eisenstein series of levels 5 and 7 is being used to evaluate the convolution sum.

UR - https://www.scopus.com/pages/publications/105006883728

UR - https://www.scopus.com/pages/publications/105006883728#tab=citedBy

M3 - Article

AN - SCOPUS:105006883728

SN - 2248-9444

VL - 12

SP - 184

EP - 190

JO - Global and Stochastic Analysis

JF - Global and Stochastic Analysis

IS - 3

ER -

SPECIFIC CONVOLUTION SUMS AND DIFFERENTIAL COEFFICIENTS UTILIZING SERIES IDENTITIES

Abstract

All Science Journal Classification (ASJC) codes

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