The periods of abelian varieties with complex multiplication and the spectral values of certain zeta functions

Goro Shimura

Mémoires de la Société Mathématique de France (1980)

  • Volume: 2, page 103-106
  • ISSN: 0249-633X

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Shimura, Goro. "The periods of abelian varieties with complex multiplication and the spectral values of certain zeta functions." Mémoires de la Société Mathématique de France 2 (1980): 103-106. <http://eudml.org/doc/94812>.

@article{Shimura1980,
author = {Shimura, Goro},
journal = {Mémoires de la Société Mathématique de France},
keywords = {periods of Abelian varieties; values of zeta functions; complex multiplication; CM-field; CM-type},
language = {eng},
pages = {103-106},
publisher = {Société mathématique de France},
title = {The periods of abelian varieties with complex multiplication and the spectral values of certain zeta functions},
url = {http://eudml.org/doc/94812},
volume = {2},
year = {1980},
}

TY - JOUR
AU - Shimura, Goro
TI - The periods of abelian varieties with complex multiplication and the spectral values of certain zeta functions
JO - Mémoires de la Société Mathématique de France
PY - 1980
PB - Société mathématique de France
VL - 2
SP - 103
EP - 106
LA - eng
KW - periods of Abelian varieties; values of zeta functions; complex multiplication; CM-field; CM-type
UR - http://eudml.org/doc/94812
ER -

References

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  1. [1] G. SHIMURA, On some arithmetic properties of modular forms of one and several variables, Ann. of Math. 102 (1975), 491-515. Zbl0327.10028MR58 #10758
  2. [2] G. SHIMURA, On the derivatives of theta functions and modular forms, Duke Math. J. 44 (1977), 365-387. Zbl0371.14023MR57 #5911
  3. [3] G. SHIMURA, Automorphic forms and the periods of abelian varieties, J. Math. Soc. Japan, 31 (1979), 561-592. Zbl0456.10015MR81j:10034
  4. [4] G. SHIMURA, The arithmetic of certain zeta functions and automorphic forms on orthogonal groups, to appear in Ann. of Math., 110 (1980). Zbl0438.12003MR81g:10041

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