Cusp forms of weight 1/2 and pairs of quadratic forms
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912497176412160 |
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| author | Biró, András |
| author_facet | Biró, András |
| contents | We prove a spectral summation formula for the product of four Fourier coefficients of half-integral weight cusp forms in Kohnen's subspace. The other side of the formula involves certain generalized class numbers of pairs of quadratic forms with integer coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02522 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cusp forms of weight 1/2 and pairs of quadratic forms Biró, András Number Theory We prove a spectral summation formula for the product of four Fourier coefficients of half-integral weight cusp forms in Kohnen's subspace. The other side of the formula involves certain generalized class numbers of pairs of quadratic forms with integer coefficients. |
| title | Cusp forms of weight 1/2 and pairs of quadratic forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.02522 |