Dwork超曲面的zeta函数的亚纯延拓
数论
2010-12-07 v3
摘要
我们考虑 中具有射影方程 (X_1^5+X_2^5+X_3^5+X_4^5+X_5^5) = 5\lambda X_1 X_2... X_5 的一参数超曲面族（将参数记为 ），证明与其上同调附加的Galois表示是潜在自守的，因此该族的zeta函数在整个复平面上具有亚纯延拓。
引用
@article{arxiv.0811.1588,
title = {Meromorphic continuation for the zeta function of a Dwork hypersurface},
author = {Thomas Barnet-Lamb},
journal= {arXiv preprint arXiv:0811.1588},
year = {2010}
}
备注
13 pages; final version, to appear in Algebra and Number Theory. This version does not incorporate any minor changes (e.g. typographical changes) made in proof