Jacobi Theta Functions over Number Fields

@inproceedings{Richter2004JacobiTF,
  title={Jacobi Theta Functions over Number Fields},
  author={Olav K. Richter and Howard Skogman},
  year={2004}
}
We use Jacobi theta functions to construct examples of Jacobi forms over number fields. We determine the behavior under modular transformations by regarding certain coefficients of the Jacobi theta functions as specializations of symplectic theta functions. In addition, we show how sums of those Jacobi theta functions appear as a single coefficient of a symplectic theta function. 2000 Mathematics Subject Classification: 11F55; 11F27, 11F41 

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Theta functions of harmonic coefficients over number fields

  • O Richter
  • J Number Theory
  • 2002
Highly Influential
6 Excerpts

Theta functions of indefinite quadratic forms over real number fields

  • O Richter
  • Proc Amer Math Soc
  • 2000
Highly Influential
14 Excerpts

On modular forms of weight one from real quadratic fields and theta functions

  • H Stark
  • J Ramanujan Math Soc
  • 1988
Highly Influential
5 Excerpts

The Theory of Jacobi Forms

  • M Eichler, D Zagier
  • 1985
Highly Influential
6 Excerpts

Theta functions of quadratic forms over imaginary quadratic fields

  • O Richter
  • Acta Arith
  • 2000
Highly Influential
4 Excerpts

On theta functions associated to indefinite quadratic forms

  • S Friedberg
  • J Number Theory
  • 1986
Highly Influential
3 Excerpts

Uber die L-Funktionen und den Dirichletschen Primzahlsatz f€ur einen beliebigen Zahlk€orper

  • E Hecke
  • Nachrichten der K. Gesellschaft der…
  • 1917
Highly Influential
3 Excerpts

Jacobi forms of several variables and the Maaß space

  • A Krieg
  • J Number Theory
  • 1996
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