A Note on a Fourier Expansion of Automorphic Functions that Nontrivially Involves the Euclidean Algorithm

Eleftherios Tsiokos

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arXiv · 1801.03925

A Note on a Fourier Expansion of Automorphic Functions that Nontrivially Involves the Euclidean Algorithm

Eleftherios Tsiokos

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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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Eleftherios Tsiokos. 2018-01-11. A Note on a Fourier Expansion of Automorphic Functions that Nontrivially Involves the Euclidean Algorithm. https://arxiv.org/abs/1801.03925

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