Residue of some Eisenstein series

Shoyu Nagaoka ()
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Shoyu Nagaoka: Yamato University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 4, 1180-1197

Abstract: Abstract The real analytic Eisenstein series is a special function that has been studied classically. Its generalization to the case of many variables has been studied extensively. Moreover, the analytic properties of certain Eisenstein series on the Siegel modular groups have also been investigated. The purpose of this study is to provide concrete forms of the residue of $$E_0^{(m)}(z,s)$$ E 0 ( m ) ( z , s ) at $$s=m/2$$ s = m / 2 .

Keywords: Eisenstein series; Siegel modular groups; 11F46; 11F30 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00419-w

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