Moment of Kummer sums weighted by $L$-functions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917573156667392 |
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| author | Bag, Nilanjan |
| author_facet | Bag, Nilanjan |
| contents | The main purpose of this article is to study higher order moments of Kummer sums weighted by $L$-functions using estimates for character sums and analytic methods. The results of this article complement a conjecture of Zhang Wenpeng (2002). Also the results in this article give analogous results of Kummer's conjecture (1846). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13580 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moment of Kummer sums weighted by $L$-functions Bag, Nilanjan Number Theory 11L05, 11L07 The main purpose of this article is to study higher order moments of Kummer sums weighted by $L$-functions using estimates for character sums and analytic methods. The results of this article complement a conjecture of Zhang Wenpeng (2002). Also the results in this article give analogous results of Kummer's conjecture (1846). |
| title | Moment of Kummer sums weighted by $L$-functions |
| topic | Number Theory 11L05, 11L07 |
| url | https://arxiv.org/abs/2401.13580 |