Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 264-273.

• Articles • Previous Articles     Next Articles

An Extension for Ramanujan's Circular Summation and Its Applications

Luo Qiuming   

  1. Department of Mathematics, Chongqing Normal University, Chongqing Higher Education Mega Center, Huxi Campus, Chongqing 401331
  • Received:2014-03-08 Revised:2014-10-22 Online:2015-04-25 Published:2015-04-25

Abstract:

In this paper, we generalized the Ramanujan's circular summation formula and give an elementary proof of them. Some applications are also considered.

Key words: Ramanujan's circular summation, Extension, Elementary proof, Theta functions

CLC Number: 

  • O156.4
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