Theta operator on Hermitian modular forms over the Eisenstein field

Nagaoka, Shoyu; Takemori, Sho

doi:10.1007/s11139-018-0111-y

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Structure Over Z[1/2 1/3]1

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2019

2023

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Cited by 4 publications

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“…In [6] Theorem 2, we obtained the similar type bounds as this statement, but they are not same. We can modify the proof in the similar way as in [8] Proposition 4.5.…”

Section: Structure Over Z[1/2 1/3]mentioning

confidence: 99%

A ring of symmetric Hermitian modular forms of degree $2$ with integral Fourier coefficients

Kikuta

2019

Preprint

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We determine the structure over Z of the ring of symmetric Hermitian modular forms with respect to Q( √ −1) of degree 2 (with a character), whose Fourier coefficients are integers. Namely, we give a set of generators consisting of 24 modular forms. As an application of our structure theorem, we give the Sturm bounds of such the modular forms of weight k with 4 | k, in the case p = 2, 3. We remark that the bounds for p ≥ 5 are already known.

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“…In [6] Theorem 2, we obtained the similar type bounds as this statement, but they are not same. We can modify the proof in the similar way as in [8] Proposition 4.5.…”

Section: Structure Over Z[1/2 1/3]mentioning

confidence: 99%