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DEVELOPMENT OF LOVEJOY AND OSBURN’S OVERPARTITION FUNCTIONS

期刊名字: INTERNATIONAL JOURNAL OF RESEARCH -GRANTHAALAYAH (Vol.3, No. 1)

Publication Date:

论文作者 : ; ;

起始页码 : 41-49

关键字 : Convenience; congruent; modulo 8; prime factorizations; parity;

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论文摘要

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.

更新日期: 2015-02-12 17:54:00