Rational points on ellipsoids and modular forms
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929230349074432 |
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| author | Burrin, Claire Gröbner, Matthias |
| author_facet | Burrin, Claire Gröbner, Matthias |
| contents | The theory of modular forms and spherical harmonic analysis are applied to establish new best bounds towards the counting and equidistribution of rational points on spheres and other higher dimensional ellipsoids, in what may be viewed as a textbook display of the 'unreasonable effectiveness' of modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_18008 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational points on ellipsoids and modular forms Burrin, Claire Gröbner, Matthias Number Theory 11F12, 11F30, 11E25 The theory of modular forms and spherical harmonic analysis are applied to establish new best bounds towards the counting and equidistribution of rational points on spheres and other higher dimensional ellipsoids, in what may be viewed as a textbook display of the 'unreasonable effectiveness' of modular forms. |
| title | Rational points on ellipsoids and modular forms |
| topic | Number Theory 11F12, 11F30, 11E25 |
| url | https://arxiv.org/abs/2401.18008 |