تقرير
Conjectures for the Integral Moments and Ratios of L-functions in Even characteristic
| العنوان: | Conjectures for the Integral Moments and Ratios of L-functions in Even characteristic |
|---|---|
| المؤلفون: | MacMillan, J. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11M38, 11M06, 11G20 |
| الوصف: | In this paper, we extend to the function field setting the heuristics developed by Conrey, Farmer, Keating, Rubinstein and Snaith for the integral moments of L-functions. Also, we adapt to function field setting the heuristics first developed by Conrey, Farmer and Zirnbauer to the study of mean values of ratios of L-functions. Specifically, we obtain an asymptotic formula for the integral moments and ratios of the quadratic Dirichlet L-functions $L(s,\chi_u)$ over the rational function field $\mathbb{F}_q(T)$, when $q$ is a power of 2 and over a given family. As an application, we calculate the one-level density for the zeros of these L-functions. Comment: 37 pages, Comments are welcome. arXiv admin note: text overlap with arXiv:1407.3099 by other authors |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2110.00477 |
| رقم الأكسشن: | edsarx.2110.00477 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |