p -adic interpolation of special values of Hecke L-functions

Pierre Colmez; Leila Schneps

Compositio Mathematica (1992)

  • Volume: 82, Issue: 2, page 143-187
  • ISSN: 0010-437X

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Colmez, Pierre, and Schneps, Leila. "$p$-adic interpolation of special values of Hecke L-functions." Compositio Mathematica 82.2 (1992): 143-187. <http://eudml.org/doc/90151>.

@article{Colmez1992,
author = {Colmez, Pierre, Schneps, Leila},
journal = {Compositio Mathematica},
keywords = {-adic interpolation; Hecke -function; special value},
language = {eng},
number = {2},
pages = {143-187},
publisher = {Kluwer Academic Publishers},
title = {$p$-adic interpolation of special values of Hecke L-functions},
url = {http://eudml.org/doc/90151},
volume = {82},
year = {1992},
}

TY - JOUR
AU - Colmez, Pierre
AU - Schneps, Leila
TI - $p$-adic interpolation of special values of Hecke L-functions
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 82
IS - 2
SP - 143
EP - 187
LA - eng
KW - -adic interpolation; Hecke -function; special value
UR - http://eudml.org/doc/90151
ER -

References

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  2. [C-W] Coates, J., Wiles, A.: On p-adic L-functions and elliptic units. J. Austral. Math. Soc. A26 (1978), 1-25. Zbl0442.12007MR510581
  3. [Co1] Colmez, P.: Algébricité de valeurs spéciales de fonctionsL. Inv. Math.95 (1989), 161-205. Zbl0666.12008MR969417
  4. [Co2] Colmez, P.: Résidu en s=1 des fonctions zêta p-adiques. Inv. Math.91 (1988), 371-389. Zbl0651.12010MR922806
  5. [D] Deligne, P.: Valeurs de fonctions L et périodes d'intégrales. Proc. Symp. Pure Math.33 (1979), 313-346. Zbl0449.10022MR546622
  6. [d Sh] de Shalit, E.: Iwasawa Theory of Elliptic Curves with Complex Multiplication. Perspectives in Mathematics, Vol. 3, Academic Press, 1987. Zbl0674.12004MR917944
  7. [H-S] Harder, G., Schappacher, N.: Special values of Hecke L-functions and Abelian integrals (Lecture Notes in Math., Vol. 1111, pp. 17-49). Berlin- Heidelberg-New York: Springer, 1985. Zbl0561.10012MR797414
  8. [K] Katz, N.: p-Adic interpolation of real analytic Eisenstein series. Ann. Math.104 (1976), 459-571. Zbl0354.14007MR506271
  9. [L] Lang, S.: Algebraic number theory. Addison-Wesley (1970). Zbl0211.38404MR282947
  10. [M-V] Manin, J., Višik, M.: p-adic Hecke series of imaginary quadratic fields. Math. Sbornik (N.S.) 95 (1974), 357-383. English trans.: Math. USSR-Sb.24 (1974), 345-371. Zbl0329.12016MR371861
  11. [P-R] Perrin-Riou, B.: Périodes p-adiques. C. R. Acad. Sci. tôme 300, série 1 (1985), p. 455-457. Zbl0602.14023MR788970
  12. [Sch] Schmidt, W.: Diophantine Approximation. Lecture Notes in Math.785, Berlin- Heidelberg-New York: Springer, 1980. Zbl0421.10019MR568710
  13. [Se] Serre, J. -P.: Sur le résidu de la fonction zêta p-adique d'un corps de nombres, C. R. Acad. Sci. Paris A287, 83-126 (1978). Zbl0393.12026
  14. [Sh] Shintani, T.: An evaluation of zeta-functions of totally real algebraic fields at non-positive integers. J. Fac. Sci., Univ. Tokyo, Sect. IA 23 (1976), 393-417. Zbl0349.12007MR427231
  15. [T] Tilouine, J.: Fonctions L p-adiques à deux variables et Z2p-extensions. Bull. Soc. Math. France114 (1986), 3-66. Zbl0606.14024MR860650
  16. [Wa] Waldschmidt, M.: Les travaux de C. V. Čudnovskiĭ sur les Nombres Transcendents. Sém. Bourbaki488 (1975/76), Lecture Notes in Math.567, Berlin-Heidelberg-New York: Springer, 1977. Zbl0345.10020MR439764
  17. [W1] Weil, A.: On a certain type of characters of the idèle class group of an algebraic number field. In: Proc. Int. Symp. on Alg. Number Theory Tokyo (1955), p. 1-7. Zbl0073.26303MR83523
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