Some new Eisenstein series containing the Borweins’ cubic theta functions and convolution sum ∑i+4j=nσ(i)σ(j)

Shruthi; B. R.Srivatsa Kumar

doi:10.1007/s13370-020-00774-5

Some new Eisenstein series containing the Borweins’ cubic theta functions and convolution sum ∑i+4j=nσ(i)σ(j)

Shruthi
, B. R.Srivatsa Kumar^*

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

In this paper, we obtain some new Eisenstein series identities containing the Borweins’ cubic theta functions using (p, k)-parameterization. Further, as an application of this, we evaluate the convolution sum ∑i+4j=nσ(i)σ(j).

Original language	English
Pages (from-to)	971-982
Number of pages	12
Journal	Afrika Matematika
Volume	31
Issue number	5-6
DOIs	https://doi.org/10.1007/s13370-020-00774-5
Publication status	Published - 01-09-2020

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s13370-020-00774-5

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abstract = "In this paper, we obtain some new Eisenstein series identities containing the Borweins{\textquoteright} cubic theta functions using (p, k)-parameterization. Further, as an application of this, we evaluate the convolution sum ∑i+4j=nσ(i)σ(j).",

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Some new Eisenstein series containing the Borweins’ cubic theta functions and convolution sum ∑i+4j=nσ(i)σ(j)

Abstract

All Science Journal Classification (ASJC) codes

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