تقرير
A modular relation involving non-trivial zeros of the Dedekind zeta function, and the Generalized Riemann Hypothesis
| العنوان: | A modular relation involving non-trivial zeros of the Dedekind zeta function, and the Generalized Riemann Hypothesis |
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| المؤلفون: | Dixit, Atul, Gupta, Shivajee, Vatwani, Akshaa |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | We give a number field analogue of a result of Ramanujan, Hardy and Littlewood, thereby obtaining a modular relation involving the non-trivial zeros of the Dedekind zeta function. We also provide a Riesz-type criterion for the Generalized Riemann Hypothesis for $\zeta_K(s)$. New elegant transformations are obtained when $K$ is a quadratic extension, one of which involves the modified Bessel function of the second kind. Comment: To appear in Journal of Mathematical Analysis and Applications |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2206.09134 |
| رقم الأكسشن: | edsarx.2206.09134 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |