TARU PUBLICATIONS
Author

Subham De

Department of Mathematics, Hauz Khas, Indian Institute of Technology Delhi, New Delhi, Delhi, 110016, India

ORCID 0009-0001-3265-4354
Published papers
2
Citations
0
Views
604
Downloads
358

Publications

2 papers
Open Access Research Article·pp. 2685–2698·Vol. 29, Issue 7Jul 2026

A combinatorial approach towards Ramanujan’s partition congruences modulo 5, 7 and 11 in terms of its corresponding cranks

Subham De

Published Online: 30 Mar 2026DOI: 10.47974/JDMSC-2416

In this paper: This paper presents a combinatorial interpretation of Ramanujan’s celebrated partition congruences: p(5n + 4) ≡ 0(mod 5), p(7n + 5) ≡ 0(mod 7) and, p(11n + 6) ≡ 0(mod 11), where p(n) denotes the numbe...

AbstractReferencesFull Text PDF (574 KB)Views: 221Downloads: 143Citations: 0
Open Access Research Article·pp. 2757–2772·Vol. 29, Issue 7Jul 2026

On some specific order estimates for the Mertens function and its relation to the non-trivial zeros of ζ(s)

Subham De

Published Online: 12 Mar 2026DOI: 10.47974/JDMSC-2414

In this paper: This article presents a brief overview of the Mertens function M(n) and Redheffer matrices An, deriving specific order estimates for M(n) to investigate the distribution of non-trivial zeros of the Ri...

AbstractReferencesFull Text PDF (710 KB)Views: 383Downloads: 215Citations: 0