| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594651 | Journal of Number Theory | 2010 | 7 Pages |
Abstract
In this paper, we prove a new formula for circular summation of theta functions, which greatly extends Ramanujan's circular summation of theta functions and a very recent result of Zeng. Some applications of this circular summation formula are given. Also, an imaginary transformation for multiple theta functions is derived.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
