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Schmidt, Ralf
- Ramanujan-Type Results for Siegel Cusp Forms of Degree 2
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Authors
Ameya Pitale
1,
Ralf Schmidt
1
Affiliations
1 Department of Mathematics, University of Oklahoma, Norman, OK 73019, US
1 Department of Mathematics, University of Oklahoma, Norman, OK 73019, US
Source
Journal of the Ramanujan Mathematical Society, Vol 24, No 1 (2009), Pagination: 87-111Abstract
A result of Chai-Faltings on Satake parameters of Siegel cusp forms together with the classification of unitary, unramified, irreducible, admissible representations of GSp4 over a p-adic field, imply that the local components of the automorphic representation of GSp4 attached to a cuspidal Siegel eigenform of degree 2 must lie in certain families. Applications include estimates on Hecke eigenvalues, an improved domain of convergence of the standard L-function, and a new characterization of the Maaß space.
- Some Remarks on Local Newforms for GL(2)
Abstract Views :182 |
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Authors
Affiliations
1 Fachrichtung 6.1 Mathematik, Universitat des Saarlandes, Postfach 15 11 50, 66041 Saarbrucken, DE
1 Fachrichtung 6.1 Mathematik, Universitat des Saarlandes, Postfach 15 11 50, 66041 Saarbrucken, DE
Source
Journal of the Ramanujan Mathematical Society, Vol 17, No 2 (2002), Pagination: 115–147Abstract
Local newforms for representations of GL(2) over a non-archimedean local field are computed in various models. Several formulas relating newforms and ε-factors are obtained.
- On Klingen Eisenstein Series with Level in Degree Two
Abstract Views :442 |
PDF Views:1
Authors
Ralf Schmidt
1,
Alok Shukla
2
Affiliations
1 Department of Mathematics, University of North Texas, Denton, US
2 Department of Mathematics, University of Manitoba, Winnipeg, CA
1 Department of Mathematics, University of North Texas, Denton, US
2 Department of Mathematics, University of Manitoba, Winnipeg, CA
Source
Journal of the Ramanujan Mathematical Society, Vol 34, No 4 (2019), Pagination: 373-388Abstract
We give a representation theoretic approach to the Klingen lift in degree 2, generalizing the classical construction of Klingen Eisenstein series to arbitrary levels for both paramodular and Siegel congruence subgroups.References
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