arXiv Open Access 2024

Asymptotic formulas for the logarithm of general L-functions at and near s=1

Kohji Matsumoto Yumiko Umegaki

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Abstrak

We consider a general form of L-function L(s) defined by an Euler product and satisfies several analytic assumptions. We show several asymptotic formulas for L(1) and log L(1). In particular those asymptotic formulas are valid for Dirichlet L-functions attached to almost all Dirichlet characters. Our theorems should be compared with former results due to Elliott, Montgomery and Weinberger, etc.

Topik & Kata Kunci

math.NT

Penulis (2)

Kohji Matsumoto

Yumiko Umegaki

Format Sitasi

APA MLA BibTeX

Matsumoto, K., Umegaki, Y. (2024). Asymptotic formulas for the logarithm of general L-functions at and near s=1. https://arxiv.org/abs/2401.17610

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓