Journal of Siberian Federal University. Mathematics & Physics / Some New Congruence Identities of General Partition for pr(n)

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (1)
Authors
B. R. Srivatsa Kumar; Shruthi Shruthi; Halgar J. Gowtham
Contact information
B. R. Srivatsa Kumar: Manipal Institute of Technology Manipal Academy of Higher Education Manipal – 576 104, India; OCRID: 0000-0002-5684-9834; Shruthi Shruthi: Manipal Institute of Technology Manipal Academy of Higher Education Manipal – 576 104, India; OCRID: 0000-0002-3305-0085; Halgar J. Gowtham: Manipal Institute of Technology Manipal Academy of Higher Education Manipal – 576 104, India; OCRID: 0000-0001-5276-2363
Keywords
q-identity; partition congruence; Ramanujan’s general partition function congruences
Abstract

In the present work, we deduce some new congruences modulo 3 and 5 for pr(n), where r 2 f�����(3 + 3);�����(5 + 3) j is any non-negative integerg. Our emphasis throughout this paper is to exhibit the use of q-identities to generate the congruences for pr(n)

Pages
75–79
DOI
10.17516/1997-1397-2022-15-1-75-79
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/144948