Stable Klingen Vectors and Paramodular Newforms
Springer International Publishing (Verlag)
978-3-031-45176-8 (ISBN)
Siegel paramodular forms have connections with the theory of automorphic representations and the Langlands program, Galois representations, the arithmetic of abelian surfaces, and algorithmic number theory. Providing a useful standard source on the subject, the book will be of interest to graduate students and researchers working in the above fields.
lt;b>Jennifer Johnson-Leung is a professor in the Department of Mathematics and Statistical Science at the University of Idaho. She received her PhD from the California Institute of Technology in 2005. Her research focuses on Siegel modular forms, Iwasawa theory, and special values of L-functions.
Brooks Roberts is a member of the Department of Mathematics and Statistical Science at the University of Idaho. He received his PhD from the University of Chicago in 1992. He is a co-author of the book Local Newforms for GSp(4) (Springer). His research focuses on Siegel modular forms, representation theory, and the theta correspondence.
Ralf Schmidt is a professor in the Department of Mathematics at the University of North Texas. He received his PhD from Hamburg University in 1998. He is a co-author of the books Transfer of Siegel Cusp Forms of Degree 2 (Memoirs of the AMS), Local Newforms for GSp(4) (Springer), and Elements of the Representation Theory of the Jacobi Group (Birkhäuser). His research focuses on Siegel modular forms and representation theory.
- Introduction. - Part I Local Theory. - 2. Background. - 3. Stable Klingen Vectors. - 4. Some Induced Representations. - 5. Dimensions. - 6. Hecke Eigenvalues and Minimal Levels. - 7. The Paramodular Subspace. - 8. Further Results About Generic Representations. - 9. Iwahori-Spherical Representations. - Part II Siegel Modular Forms. - 10. Background on Siegel Modular Forms. - 11. Operators on Siegel Modular Forms. - 12. Hecke Eigenvalues and Fourier Coefficients.
Erscheinungsdatum | 29.12.2023 |
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Reihe/Serie | Lecture Notes in Mathematics |
Zusatzinfo | XVII, 362 p. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 581 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | Fourier Coefficients of Paramodular Newforms • Fourier Coefficients of Siegel Modular Newforms • Hecke Eigenvalues for Paramodular Newforms • Hecke Eigenvalues for Siegel Modular Forms • Hecke Operators on Siegel Modular Forms • Klingen Vectors • Level Lowering Operators • Paramodular Hecke Operators • Representations of GSp(4) • Representation Theory of GSp(4) • Siegel modular forms • Siegel Modular Forms with Paramodular Level • Siegel Modular Newforms • Stable Klingen Vectors |
ISBN-10 | 3-031-45176-7 / 3031451767 |
ISBN-13 | 978-3-031-45176-8 / 9783031451768 |
Zustand | Neuware |
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