a

Proofs of some conjectures of Sun on the relations between t(a, b, c; n) and N(a, b, c; n) (Journal Article)

By: Contributor(s): Material type: TextTextSeries: Indian Journal of Pure and Applied Mathematics ; , Volume 54: Number 4, December 2023Publication details: New Delhi :Indian National Science Academy | Springer ,2023Description: 1081-1098pISSN:
  • 0019-5588
Subject(s): Online resources:
Contents:
***______{For Hard Copy, Please visit Library.}________***
Summary: Abstract: Let and be the set of integers and the set of positive integers, respectively. For and, let N(a, b, c; n) be the number of representations of n as and t(a, b, c; n) be the number of representations of n as.Recently, Sun established many relations between t(a, b, c; n) and and listed 43 relations need to be confirmed. More recently, Xia and Zhang proved 19 relations conjectured by Sun. In this paper, by employing Ramanujan’s theta function identities, we prove the remaining 24 relations.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Call number Status Date due Barcode
Periodicals Periodicals RIE BPL Library Not for loan

***______{For Hard Copy, Please visit Library.}________***


Abstract: Let and be the set of integers and the set of positive integers, respectively. For and, let N(a, b, c; n) be the number of representations of n as and t(a, b, c; n) be the number of representations of n as.Recently, Sun established many relations between t(a, b, c; n) and and listed 43 relations need to be confirmed. More recently, Xia and Zhang proved 19 relations conjectured by Sun. In this paper, by employing Ramanujan’s theta function identities, we prove the remaining 24 relations.

There are no comments on this title.

to post a comment.

Find us on the map

Contact Us

RIE Bhopal
Shyamla Hills
Bhopal
Madhya pradesh - 46003.
E-mail: library.riebpl@gmail.com
Phone: + 91 (0) 755 2522003

Powered by Koha