ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

DEVELOPMENT OF LOVEJOY AND OSBURN’S OVERPARTITION FUNCTIONS

Journal: INTERNATIONAL JOURNAL OF RESEARCH -GRANTHAALAYAH (Vol.3, No. 1)

Publication Date:

Authors : ; ;

Page : 41-49

Keywords : Convenience; congruent; modulo 8; prime factorizations; parity;

Source : Downloadexternal Find it from : Google Scholarexternal

Abstract

In 2008, Lovejoy and Osburn defined the generating function.In 2009, Byungchan Kim defined the generating function. This paper shows how to discuss the generating functions. Byungchan Kim also defined with increasing relation and overpartition congruences mod 4,8 and 64. In 2006, Berndt found the relation has two values with certain restrictions and various formulae by the common term. This paper shows how to prove the four Theorems about overpartitions modulo 8.These Theorems satisfy the arithmetic properties of the overpartition function modulo 8.

Last modified: 2015-02-12 17:54:00