On special values of theta functions of genus two

Ehud De Shalit; Eyal Z. Goren

Annales de l'institut Fourier (1997)

  • Volume: 47, Issue: 3, page 775-799
  • ISSN: 0373-0956

Abstract

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We study a certain finitely generated multiplicative subgroup of the Hilbert class field of a quartic CM field. It consists of special values of certain theta functions of genus 2 and is analogous to the group of Siegel units. Questions of integrality of these specials values are related to the arithmetic of the Siegel moduli space.

How to cite

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De Shalit, Ehud, and Goren, Eyal Z.. "On special values of theta functions of genus two." Annales de l'institut Fourier 47.3 (1997): 775-799. <http://eudml.org/doc/75244>.

@article{DeShalit1997,
abstract = {We study a certain finitely generated multiplicative subgroup of the Hilbert class field of a quartic CM field. It consists of special values of certain theta functions of genus 2 and is analogous to the group of Siegel units. Questions of integrality of these specials values are related to the arithmetic of the Siegel moduli space.},
author = {De Shalit, Ehud, Goren, Eyal Z.},
journal = {Annales de l'institut Fourier},
keywords = {theta functions; complex multiplication; units},
language = {eng},
number = {3},
pages = {775-799},
publisher = {Association des Annales de l'Institut Fourier},
title = {On special values of theta functions of genus two},
url = {http://eudml.org/doc/75244},
volume = {47},
year = {1997},
}

TY - JOUR
AU - De Shalit, Ehud
AU - Goren, Eyal Z.
TI - On special values of theta functions of genus two
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 3
SP - 775
EP - 799
AB - We study a certain finitely generated multiplicative subgroup of the Hilbert class field of a quartic CM field. It consists of special values of certain theta functions of genus 2 and is analogous to the group of Siegel units. Questions of integrality of these specials values are related to the arithmetic of the Siegel moduli space.
LA - eng
KW - theta functions; complex multiplication; units
UR - http://eudml.org/doc/75244
ER -

References

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