Convoluted Fourier Coefficients of GL(n)-Automorphic Functions. Part 1

2015/11/30 by Tsiokos, Eleftherios
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1511.09374

Abstract

We study certain cases of convoluted Fourier coefficients of GL_n-automorphic functions. We establish identities that express them in terms of Fourier coefficients related to unipotent orbits. The most general case that is studied is (n)∘(k,2^n-1). The conclusions for this case is only up to a conjecture that I state. However there are certain special cases and other examples that are not based on any conjecture.

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