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

Department of Mathematics, Manipal Institute of Technology, Manipal

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

2 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
Journal	Afrika Matematika
DOIs	https://doi.org/10.1007/s13370-020-00774-5
Publication status	Published - 01-09-2020

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1007/s13370-020-00774-5

Cite this

@article{0d39c8d26fff46fda2590612a963285e,

title = "Some new Eisenstein series containing the Borweins{\textquoteright} cubic theta functions and convolution sum ∑i+4j=nσ(i)σ(j)",

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).",

author = "Shruthi and Kumar, {B. R.Srivatsa}",

year = "2020",

month = sep,

day = "1",

doi = "10.1007/s13370-020-00774-5",

language = "English",

journal = "Afrika Matematika",

issn = "1012-9405",

publisher = "Springer Science + Business Media",

}

TY - JOUR

T1 - Some new Eisenstein series containing the Borweins’ cubic theta functions and convolution sum ∑i+4j=nσ(i)σ(j)

AU - Shruthi,

AU - Kumar, B. R.Srivatsa

PY - 2020/9/1

Y1 - 2020/9/1

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=85079499546&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85079499546&partnerID=8YFLogxK

U2 - 10.1007/s13370-020-00774-5

DO - 10.1007/s13370-020-00774-5

M3 - Article

AN - SCOPUS:85079499546

SN - 1012-9405

JO - Afrika Matematika

JF - Afrika Matematika

ER -

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

Access to Document

Other files and links

Fingerprint

Cite this