Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지
DOI QR코드

DOI QR Code

ARITHMETIC OF MODULAR FORMS

  • Choi, SoYoung (Department of Mathematics Education and RINS Gyeongsang National University)
  • Received : 2017.09.14
  • Accepted : 2017.10.16
  • Published : 2017.11.15
Download PDF
⟨ Previous Next ⟩

Abstract

We investigate congruence properties of Fourier coefficients of modular forms for ${\Gamma}^+_0(2)$.

Keywords

References

  1. D. Choi and Y. Choie, Linear relations among the Fourier coefficients of modular forms on groups ${\Gamma}_0(N)$ of genus zero and their applications, J. Math. Anal. Appl. 326 (2007), no. 1, 655-666. https://doi.org/10.1016/j.jmaa.2006.03.031
  2. S. Choi, Congruence properties of coefficients of modular forms for ${\Gamma}^+_0(5)$, J. Chungcheong Math. Soc. 26 (2013), no. 4, 923-926. https://doi.org/10.14403/jcms.2013.26.4.923
  3. S. Choi and C. H. Kim, Basis for the space of weakly holomorphic modular forms in higher level cases, J. Number Theory, 133 (2013), 1300-1311. https://doi.org/10.1016/j.jnt.2012.09.015
  4. Y. Choie, W. Kohnen, and K. Ono, Linear relations between modular form coefficients and non-ordinary primes, Bull. London Math. Soc. 37 (2005), no. 3, 335-341. https://doi.org/10.1112/S0024609305004285