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

Eleftherios Tsiokos

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

Number Theory 2015-12-01 v1 Representation Theory

Authors: Eleftherios Tsiokos

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 $(n)\circ(k,2^{n-1})$ . 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.

Keywords

GL(n)-automorphic functions convoluted Fourier coefficients unipotent orbits Fourier coefficients identities automorphic forms conjecture

Cite

@article{arxiv.1511.09374,
  title  = {Convoluted Fourier Coefficients of GL(n)-Automorphic Functions. Part 1},
  author = {Eleftherios Tsiokos},
  journal= {arXiv preprint arXiv:1511.09374},
  year   = {2015}
}

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