Bounds for moments of quadratic Dirichlet character sums of prime moduli
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917879712055296 |
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| author | Zhao, Yuetong |
| author_facet | Zhao, Yuetong |
| contents | Assuming the generalized Riemann hypothesis, we evaluate sharp upper bounds for the shifted moments of quadratic Dirichlet L-functions with moduli 8p, where p ranges over odd primes. We then apply this result to prove bounds for the moments of quadratic Dirichlet character sums with prime moduli. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19151 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounds for moments of quadratic Dirichlet character sums of prime moduli Zhao, Yuetong Number Theory Assuming the generalized Riemann hypothesis, we evaluate sharp upper bounds for the shifted moments of quadratic Dirichlet L-functions with moduli 8p, where p ranges over odd primes. We then apply this result to prove bounds for the moments of quadratic Dirichlet character sums with prime moduli. |
| title | Bounds for moments of quadratic Dirichlet character sums of prime moduli |
| topic | Number Theory |
| url | https://arxiv.org/abs/2412.19151 |