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

2018/01/11 by Eleftherios Tsiokos, Tsiokos, Eleftherios
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #Representation Theory (math.RT) #math.GR #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1801.03925

3 pages

arxiv created 2018/01/11 · arxiv updated 2018/01/12

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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