INFINITE SERIES RELATION FROM A MODULAR TRANSFORMATION FORMULA FOR THE GENERALIZED EISENSTEIN SERIES

• 발행기관: 충청수학회
• 저자명: Sung-Geun Lim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 2, 299~312쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.05.30

영문 초록

In 1970s, B. C. Berndt proved a transformation for- mula for a large class of functions that includes the classical Dedekind eta function. From this formula, he evaluated several classes of in¯- nite series and found a lot of interesting in¯nite series identities. In this paper, using his formula, we ¯nd new in¯nite series identities.

목차

1. Introduction and preliminaries

References