The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions
Binyong Sun
TL;DR
This paper proves a nonvanishing hypothesis at infinity for Rankin-Selberg convolutions involving GL(n) and GL(n-1), advancing understanding of automorphic forms and L-functions.
Contribution
It establishes the nonvanishing hypothesis at infinity specifically for Rankin-Selberg convolutions of GL(n) and GL(n-1), a significant step in automorphic L-function theory.
Findings
Proved nonvanishing at infinity for specific Rankin-Selberg convolutions
Enhanced understanding of automorphic L-functions for GL(n)
Provided new techniques for nonvanishing results
Abstract
We prove the nonvanishing hypothesis at infinity for Rankin-Selberg convolutions for .
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Analytic Number Theory Research