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Automorphic forms and sums of squares over function fields.

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Publication:1970611
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DOI10.1006/jnth.1999.2454zbMath1034.11035OpenAlexW2008872334MaRDI QIDQ1970611

Lynne H. Walling, Kathy D. Merrill, Jeffrey Hoffstein

Publication date: 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/30ad7bc8a61493fdc08b730ef0012eead1a6bd1c


Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)


Related Items

On the function field analogue of Landau's theorem on sums of squares, On counting polynomials over finite fields, On the degree of modular parametrizations over function fields., Theta series of quaternion algebras over function fields.



Cites Work

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  • Quadratic forms on \(\mathbb{F}_ q[T\)]
  • Sums of squares over function fields
  • Explicit Siegel theory: An algebraic approach
  • Sums of an even number of squares in \(GF[p^n,x\).]
  • Sums of an odd number of squares in \(\text{GF}[p^n,x\)]
  • Average values of L-series in function fields.
  • Indefinite quadratic forms and Eisenstein series
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