[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2021.43.2.221

MODULAR TRANSFORMATION FORMULAE COMING FROM GENERALIZED NON-HOLOMORPHIC EISENSTEIN SERIES AND INFINITE SERIES IDENTITIES

Lim, Sung Geun (Department of Mathematics Education, Mokwon University)

Publication Information

Honam Mathematical Journal / v.43, no.2, 2021 , pp. 221-237 More about this Journal

Abstract

B. C. Berndt has found modular transformation formulae for a large class of functions coming from generalized Eisenstein series. Using those formulae, he established a lot of infinite series identities, some of which explain many infinite series identities given by Ramanujan. Continuing his work, the author proved a lot of new infinite series identities. Moreover, recently the author found transformation formulae for a class of functions coming from generalized non-holomorphic Eisenstein series. In this paper, using those formulae, we evaluate a few new infinite series identities which generalize the author's previous results.

Keywords

Modular transformation; Infinite series identities;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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