Residue of some Eisenstein series

Residue of some Eisenstein series

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 pur...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2024-12, Vol.55 (4), p.1180-1197
1. Verfasser: Nagaoka, Shoyu
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Real variables
Residues
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Zusammenfassung: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 ) at s = m / 2 .
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-023-00419-w