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Indefinite quadratic forms and Eisenstein series
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James Lee Hafner
Published/Copyright:
August 26, 2008
Abstract
We use geometric algebra and the theory of automorphic forms to realize theta series attached to an indefinite quadratic form as the sum of a specific Eisenstein series and an L2-function. From this we obtain explicit formulas for the measure of the representation of an integer by an indefinite quadratic form.
Received: 1997-11
Published Online: 2008-08-26
Published in Print: 1999-May
© de Gruyter 1999
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Articles in the same Issue
- Simple automorphism groups of cycle-free partial orders
- Beurling generalized integers with the Delone Property
- Indefinite quadratic forms and Eisenstein series
- Lax embeddings of polar spaces in finite projective spaces
- Disjoint unions of complex affine subspaces interpolating for Ap
- Boundary compactifications of SL(2, ℝ) and SL(2, ℂ)
Articles in the same Issue
- Simple automorphism groups of cycle-free partial orders
- Beurling generalized integers with the Delone Property
- Indefinite quadratic forms and Eisenstein series
- Lax embeddings of polar spaces in finite projective spaces
- Disjoint unions of complex affine subspaces interpolating for Ap
- Boundary compactifications of SL(2, ℝ) and SL(2, ℂ)