A Note on a Fourier Expansion of Automorphic Functions that Nontrivially Involves the Euclidean Algorithm
Number Theory
2018-01-12 v1 Group Theory
Representation Theory
Abstract
We extend the Fourier expansion of automorphic functions of Piateski-Shapiro and Shalika in a way that the Euclidean algorithm appears nontrivially. Then, we discuss a potential application in the Rankin-Selberg method.
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Cite
@article{arxiv.1801.03925,
title = {A Note on a Fourier Expansion of Automorphic Functions that Nontrivially Involves the Euclidean Algorithm},
author = {Eleftherios Tsiokos},
journal= {arXiv preprint arXiv:1801.03925},
year = {2018}
}
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3 pages