|
|||||
|
|
Congruence Restricted Modular Forms |
|
| Authors: | Kurt?Ludwick author-information" > author-information__contact u-icon-before" > mailto:KELUDWICK@salisbury.edu" title=" KELUDWICK@salisbury.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Department of Mathematics and Computer Science, Salisbury University, Salisbury, Maryland, 21801 |
| Abstract: | Given f(z), a modular form on a congruence subgroup (of the full modular group), we construct the function f(z;r,t) by summing over the terms of the Fourier expansion of f(z) with index congruent to r modulo t. In this paper, we determine a condition on the multiplier system of f(z) which guarantees that f(z;r,t) is itself a modular form on a (smaller) congruence subgroup.2000 Mathematics Subject Classification: Primary—11F11; Secondary—11F30 |
| Keywords: | modular forms Fourier expansions multiplier systems |
| 本文献已被 SpringerLink 等数据库收录！ | |