DEVELOPMENT OF LOVEJOY AND OSBURN’SOVERPARTITION FUNCTIONS

https://doi.org/10.29121/granthaalayah.v3.i1.2015.3052

In 2008, Lovejoy and Osburn defined the generating function for .In 2009, Byungchan Kim defined the generating function for .This paper shows how to discuss the generating functions for and . Byungchan Kim also defined with increasing relation and overpartitioncongruences 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.

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Creator	Granthaalayah Editor
Publisher	International Journal of Research - GRANTHAALAYAH
Classification	Science Fundamental Science
Date Issued	2015-01-31
Resource Type	Research Article
Format	html
Language	English
Date Of Record Creation	2021-04-10 04:30:12
Date Of Record Release	2021-04-10 04:30:12
Date Last Modified	2021-04-10 04:30:12

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