关于临界线上Epstein zeta函数零点间空隙的注记
数论
2017-03-13 v2
摘要
证明了与正定整二元二次型相关的Epstein zeta函数在充分大的正数下有一个零点,满足。这是对M. Jutila和K. Srinivas的结果(Bull. London Math. Soc. 37 (2005) 45--53)的改进。
引用
@article{arxiv.1602.06069,
title = {A note on the gaps between zeros of Epstein's zeta-functions on the critical line},
author = {Stephan Baier and Srinivas Kotyada and Usha Keshav Sangale},
journal= {arXiv preprint arXiv:1602.06069},
year = {2017}
}
备注
17 pages, major revisions, expanded version of the earlier draft, to appear in Functiones et Approximatio