A remark on a converse theorem of Cogdell and Piatetski-Shapiro

TL;DR

This paper reestablishes a global converse theorem by Cogdell and Piatetski-Shapiro using purely global techniques, providing a new perspective on their original result.

Contribution

It offers a new proof of a known converse theorem employing only global methods, simplifying and clarifying the original approach.

Findings

Reproved the global converse theorem of Cogdell and Piatetski-Shapiro

Demonstrated the effectiveness of purely global methods in this context

Provided insights that may influence future proofs in automorphic forms

Abstract

In this paper, we reprove a global converse theorem of Cogdell and Piatetski-Shapiro using purely global methods.