p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight
SCIE
SCOPUS
- Title
- p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight
- Authors
- Choi, D; Choie, Y
- Date Issued
- 2010-01
- Publisher
- HEBREW UNIV MAGNES PRESS
- Abstract
- Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL (2)(a"currency sign) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on I"(0)(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space.
- Keywords
- LINEAR RELATIONS; CONGRUENCES; VALUES; GENUS; SERIES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/26314
- DOI
- 10.1007/S11856-010-0002-4
- ISSN
- 0021-2172
- Article Type
- Article
- Citation
- ISRAEL JOURNAL OF MATHEMATICS, vol. 175, no. 1, page. 61 - 83, 2010-01
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.