Sturm bounds for Siegel modular forms of degree 2 and odd weights

Toshiyuki Kikuta; Sho Takemori

Sturm bounds for Siegel modular forms of degree 2 and odd weights

Number Theory 2015-08-10 v1

Authors: Toshiyuki Kikuta , Sho Takemori

Abstract

We correct the proof of the theorem in the previous paper presented by the first named author, which concerns Sturm bounds for Siegel modular forms of degree $2$ and of even weights modulo a prime number dividing $2\cdot 3$ . We give also Sturm bounds for them of odd weights for any prime numbers, and we prove their sharpness. The results cover the case where Fourier coefficients are algebraic numbers.

Keywords

Siegel modular forms Sturm bounds odd weights degree 2 Fourier coefficients algebraic numbers

Cite

@article{arxiv.1508.01610,
  title  = {Sturm bounds for Siegel modular forms of degree 2 and odd weights},
  author = {Toshiyuki Kikuta and Sho Takemori},
  journal= {arXiv preprint arXiv:1508.01610},
  year   = {2015}
}

Related papers

View all related →