Logarithmic derivatives of Dirichlet L -functions and the periods of abelian varieties

Greg W. Anderson

Compositio Mathematica (1982)

  • Volume: 45, Issue: 3, page 315-332
  • ISSN: 0010-437X

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Anderson, Greg W.. "Logarithmic derivatives of Dirichlet $L$-functions and the periods of abelian varieties." Compositio Mathematica 45.3 (1982): 315-332. <http://eudml.org/doc/89538>.

@article{Anderson1982,
author = {Anderson, Greg W.},
journal = {Compositio Mathematica},
keywords = {logarithmic derivatives; periods of CM-varieties; limit formulas for L- series; linear combinations of Dirichlet characters; periods of Fermat curves; p-adic L-series; period distribution},
language = {eng},
number = {3},
pages = {315-332},
publisher = {Martinus Nijhoff Publishers},
title = {Logarithmic derivatives of Dirichlet $L$-functions and the periods of abelian varieties},
url = {http://eudml.org/doc/89538},
volume = {45},
year = {1982},
}

TY - JOUR
AU - Anderson, Greg W.
TI - Logarithmic derivatives of Dirichlet $L$-functions and the periods of abelian varieties
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 45
IS - 3
SP - 315
EP - 332
LA - eng
KW - logarithmic derivatives; periods of CM-varieties; limit formulas for L- series; linear combinations of Dirichlet characters; periods of Fermat curves; p-adic L-series; period distribution
UR - http://eudml.org/doc/89538
ER -

References

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  1. [B] M. Boyarsky: p-Adic gamma functions and Dwork cohomology. Trans. Am. Math. Soc.257 (1980), 350-369. Zbl0475.14017MR552263
  2. [CW] C. Chevalley and A. Weil: Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionskörper, Hamb. Abh.10 (1934), 358-361. Zbl0009.16001JFM60.0098.01
  3. [FG] B. Ferrero and R. Greenberg: On the behavior of p-adic L-functions at s = 0. Inv. Math.50 (1978), 90-102. Zbl0441.12003MR516606
  4. [GK] B.H. Gross and N. Koblitz: Gauss sums and the p-adic Γ-function, Ann. of Math.109 (1979), 569-581. Zbl0406.12010
  5. [GR] B.H. Gross(appendix by D. Rohrlich): On the periods of abelian integrals and a formula of Chowla and Selberg, Inv. Math.45 (1978), 193-211. Zbl0418.14023MR480542
  6. [H] T. Honda: Isogeny classes of abelian varieties over finite fields, J. Math. Soc. Japan20 (1968), 83-95. Zbl0203.53302MR229642
  7. [S] G. Shimura: Automorphic forms and the periods of abelian varieties. J. Math. Soc. Japan31 (1979), 561-592. Zbl0456.10015MR535097
  8. [W] A. Weil: Sur les périodes des intégrales abéliennes. Comm. Pure Appl. Math.29 (1976), 813-819. Zbl0342.14020MR422164
  9. [WW] E.T. Whittaker and G.N. Watson: A Course of Modem Analysis, Cambridge Univ. Press, Cambridge1902. JFM45.0433.02

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