This paper deals with the local nonarchimedean L-factors of Piateskii-Shapiro L-series for automorphic representations group GSp(4). The factors may have exceptional poles that a priori depend on choice Bessel model. We compute split models and show their independence from complements previous results regular part these L-factors.

There is reason to believe that there is a close relation between the irreducible representations, in the sense of harmonic analysis, of the group of rational points on a reductive algebraic group over a local field and the representations of the Weil group of the local field in a certain associated complex group. There should also be a relation, although it will not be so close, between the re...

We study the subconvexity problem for GL3(R) L-functions in t-aspect using integral representations by combining techniques employed Michel–Venkatesh their of corresponding GL2 with ideas from recent works Munshi, Holowinsky–Nelson and Lin. Our main objective is to give – perspective automorphic representation theory a possible explanation origin “key identity” arising latter series works.