Bessel periods and anticyclotomic 𝑝-adic spinor 𝐿-functions

IF 1.2 2区数学 Q1 MATHEMATICS Transactions of the American Mathematical Society Pub Date : 2024-02-29 DOI:10.1090/tran/9143

Ming-Lun Hsieh, Shunsuke Yamana

引用次数: 0

Abstract

We construct the anticyclotomic p p -adic L L -function that interpolates a square root of central values of twisted spinor L L -functions of a quadratic base change of a Siegel cusp form of genus 2 2 with respect to a paramodular group of square-free level.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

贝塞尔周期和反循环𝑝-自旋𝐿函数

我们构建了反循环 p p -adic L L -函数，该函数可插值属 2 2 的西格尔凹凸形二次基变的扭曲旋量 L L -函数中心值的平方根，与无平方级的准偶数群有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Transactions of the American Mathematical Society 数学-数学

CiteScore

2.30

自引率

7.70%

发文量

171

审稿时长

3-6 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles in all areas of pure and applied mathematics. To be published in the Transactions, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Papers of less than 15 printed pages that meet the above criteria should be submitted to the Proceedings of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.

期刊最新文献

Degenerative temporomandibular joint diseases and their relation with sleep and emotional disturbance. A compact extension of Journé’s 𝑇1 theorem on product spaces Solving the Kerzman’s problem on the sup-norm estimate for \overline{∂} on product domains Soap bubbles and convex cones: optimal quantitative rigidity Endomorphisms of mapping tori