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

Toshiyuki Kikuta; Sho Takemori

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arXiv · 1508.01610

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

Toshiyuki Kikuta·Sho Takemori

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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.

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BibTeX RIS

Toshiyuki Kikuta, Sho Takemori. 2015-08-07. Sturm bounds for Siegel modular forms of degree 2 and odd weights. https://arxiv.org/abs/1508.01610

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