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LIFTING PUZZLES IN DEGREE FOUR

Part of: Numerical analysis Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  06 July 2009

CRIS POOR ,
NATHAN C. RYAN  and
DAVID S. YUEN
CRIS POOR*
Affiliation:
Department of Mathematics, Fordham University, Bronx, NY 10458-5165, USA (email: poor@fordham.edu)
NATHAN C. RYAN
Affiliation:
Department of Mathematics, Bucknell University, Lewisburg, PA 17837, USA (email: nathan.ryan@bucknell.edu)
DAVID S. YUEN
Affiliation:
Department of Mathematics and Computer Science, Lake Forest College, 555 North Sheridan Road, Lake Forest, IL 60045, USA (email: yuen@lakeforest.edu)
*
✉For correspondence; e-mail: poor@fordham.edu
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Abstract

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We identify the majority of Siegel modular eigenforms in degree four and weights up to 16 as being Duke–Imamoḡlu–Ikeda or Miyawaki–Ikeda lifts. We give two examples of eigenforms that are probably also lifts but of an undiscovered type.

Keywords

Siegel modular formsSatake parametersMiyawaki–Ikeda lifts

MSC classification

Secondary: 11F46: Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms 11F60: Hecke-Petersson operators, differential operators (several variables) 65-04: Explicit machine computation and programs (not the theory of computation or programming)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 1 , August 2009 , pp. 65 - 82
Copyright
Copyright © Australian Mathematical Society 2009

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