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On the geometric side of the Arthur trace formula for the symplectic group of rank 2 / Werner Hoffmann, Satoshi Wakatsuki.
Math/Physics/Astronomy Library QA3 .A57 no.1224
Available
- Format:
- Book
- Author/Creator:
- Hoffmann, Werner, 1959- author.
- Wakatsuki, Satoshi, 1977- author.
- Series:
- Memoirs of the American Mathematical Society ; no. 1224.
- Memoirs of the American Mathematical Society, 0065-9266 ; number 1224
- Language:
- English
- Subjects (All):
- Selberg trace formula.
- Trace formulas.
- Geometry, Algebraic.
- Symplectic groups.
- Physical Description:
- v, 88 pages ; 26 cm.
- Place of Publication:
- Providence, RI : American Mathematical Society, 2018.
- Summary:
- "We study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank 2 over any algebraic number field. In particular, we express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke L-functions, and the Shintani zeta function for the space of binary quadratic forms."-- Page v.
- Contents:
- Introduction
- Preliminaries
- A formula of Labesse and Langlands
- Shintani zeta function for the space of binary quadratic forms
- Structure of GSp(2)
- The geometric side of the race formula for GSp(2)
- The geometric side of the race formula for Sp(2).
- Notes:
- "September 2018. Volume 255. Number 1224 (seventh of 7 numbers)."
- Includes bibliographical references.
- ISBN:
- 9781470431020
- 1470431025
- OCLC:
- 1039667392
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