Effective Upper Bound Estimates for $|ζ'(1/2+it)|$ via Exponential Sums
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908573562306560 |
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| author | Liu, Ting Ma, Jinjin Chang, Binjie Xiong, Xinhua |
| author_facet | Liu, Ting Ma, Jinjin Chang, Binjie Xiong, Xinhua |
| contents | In this paper, we use methods of exponential sums to derive a formula for estimating effective upper bounds of $|ζ'(1/2+it)|$. Different effective upper bounds can be obtained by choosing different parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02041 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective Upper Bound Estimates for $|ζ'(1/2+it)|$ via Exponential Sums Liu, Ting Ma, Jinjin Chang, Binjie Xiong, Xinhua Number Theory 11M06, 11L07 In this paper, we use methods of exponential sums to derive a formula for estimating effective upper bounds of $|ζ'(1/2+it)|$. Different effective upper bounds can be obtained by choosing different parameters. |
| title | Effective Upper Bound Estimates for $|ζ'(1/2+it)|$ via Exponential Sums |
| topic | Number Theory 11M06, 11L07 |
| url | https://arxiv.org/abs/2510.02041 |