On p-adic L-functions
Séminaire Bourbaki : volume 1988/89, exposés 700-714, Astérisque, no. 177-178 (1989), Talk no. 701, 27 p.
@incollection{SB_1988-1989__31__33_0,
     author = {Coates, John},
     title = {On $p$-adic $L$-functions},
     booktitle = {S\'eminaire Bourbaki : volume 1988/89, expos\'es 700-714},
     series = {Ast\'erisque},
     note = {talk:701},
     pages = {33--59},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {177-178},
     year = {1989},
     mrnumber = {1040567},
     zbl = {0706.11064},
     language = {en},
     url = {http://archive.numdam.org/item/SB_1988-1989__31__33_0/}
}
TY  - CHAP
AU  - Coates, John
TI  - On $p$-adic $L$-functions
BT  - Séminaire Bourbaki : volume 1988/89, exposés 700-714
AU  - Collectif
T3  - Astérisque
N1  - talk:701
PY  - 1989
SP  - 33
EP  - 59
IS  - 177-178
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/SB_1988-1989__31__33_0/
LA  - en
ID  - SB_1988-1989__31__33_0
ER  - 
%0 Book Section
%A Coates, John
%T On $p$-adic $L$-functions
%B Séminaire Bourbaki : volume 1988/89, exposés 700-714
%A Collectif
%S Astérisque
%Z talk:701
%D 1989
%P 33-59
%N 177-178
%I Société mathématique de France
%U http://archive.numdam.org/item/SB_1988-1989__31__33_0/
%G en
%F SB_1988-1989__31__33_0
Coates, John. On $p$-adic $L$-functions, in Séminaire Bourbaki : volume 1988/89, exposés 700-714, Astérisque, no. 177-178 (1989), Talk no. 701, 27 p. http://archive.numdam.org/item/SB_1988-1989__31__33_0/

1. Bloch, S., Kato, K., p-adic étale cohomology, Publ. Math. I.H.E.S. No. 63 (1986),107-152. | Numdam | MR | Zbl

2. Cassou-Nogues, P.,Valeurs aux entiers negatifs des fonctions zêta et fonctions zêta p-adiques, Invent. Math. 51 (1979),29-59. | MR | Zbl

3. Coates, J., Flach, M.,The symmetric square of an elliptic curve, to appear.

4. Coates, J., Perrin-Riou, B., On p-adic L-functions attached to motives over Q, Advanced Studies in Pure Math. 17 (1989), 23-54. | MR | Zbl

5. Coates, J., On the main conjectures of Iwasawa theory, to appear in Proceedings of 1989 Durham Symposium on L-functions in Arithmetic. | MR

6. Coleman, R., Dilogarithms, regulators, and p-adic L-functions, Invent. Math. 69 (1982), 171-208. | MR | Zbl

7. Coleman, R., De Shalit, E., p-adic regulators on curves and special values of p-adic L-functions, Invent. Math. 93 (1988), 239-266. | MR | Zbl

8. Colmez, P., Résidu en s=1 des fonctions zeta p-adiques, Invent. Math. 91 (1988), 371-389. | MR | Zbl

9. Deligne, P., Les constantes des équations fonctionelles des fonctions L, Antwerp II,Springer L.N. 349 (1973), 501-595. | MR | Zbl

10. Deligne, P.,Valeurs de fonctions L et périodes d'intégrales, Proc. Symp. Pure Math. A.M.S. 33 (1979), Vol. 2, 313-346. | MR | Zbl

11. Deligne, P., Ribet, K., Values of abelian L-functions at negative integers over totally real fields, Invent. Math. 59 (1980), 227-286. | MR | Zbl

12. Faltings, G., p-adic Hodge theory, Journal A.M.S. 1 (1988), 255-299. | MR | Zbl

13. Ferrero, B., Greenberg, R., On the behaviour of p-adic L-functions at s=0, Invent. Math. 50 (1978), 91-102. | MR | Zbl

14. Fontaine, J-M., Messing, W., p-adic periods and p-adic etale cohomology, Contemp. Math. A.M.S. 67 (1987),179-207. | MR | Zbl

15. Gelbart, S., Jacquet, H., A relation between automorphic representations of GL(2) and GL(3), Ann. Sc. E.N.S. 11 (1978),471-542. | Numdam | MR | Zbl

16. Haran, S., p-adic L-functions for modular forms, Compositio Math. 62 (1987), 31-46. | Numdam | MR | Zbl

17. Iwasawa, K., On p-adic L-functions, Ann. of Math. 89 (1969), 198-205. | MR | Zbl

18. Katz, N., p-adic interpolation of real analytic Eisenstein series, Ann. of Math. 104 (1976),459-571. | MR | Zbl

19. Kubota, T., Leopoldt, H., Eine p-adische theorie der zetawerte, Crelle 214/215 (1964), 328-339. | MR | Zbl

20. Manin, J., Periods of parabolic forms and p-adic Hecke series, Math. Sbornik A.M.S. 21 (1973), 371-393. | Zbl

21. Manin, J.,Values of p-adic Hecke series at integer points of the critical strip, Math. Sbornik A.M.S. 22 (1974), 631-637. | Zbl

22. Manin, J.,Vishik, M., p-adic Hecke series of imaginary quadratic fields, Math. Sbornik A.M.S. 24 (1974), 345-371. | Zbl

23. Mazur, B., Swinnerton-Dyer, P., Arithmetic of Weil curves, Invent. Math. 18 (1972), 183-266. | MR | Zbl

24. Mazur, B.,Tate, J., Teitelbaum, J., On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer, Invent. Math. 84 (1986), 1-48. | MR | Zbl

25. Mazur, B., Wiles, A., Class fields of abelian extensions of Q , Invent. Math. 76 (1984),179-330. | MR | Zbl

26. Panciskin, A., Non-archimedean automorphic L-functions (in Russian), Moscow University (1988). | Zbl

27. Perrin-Riou, B., Points de Heegner et dérivées de fonctions L p-adiques, Invent. Math. 89 (1987), 455-510. | MR | Zbl

28. Rubin, K., Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication, Invent. Math. 89 (1987), 527-560. | MR | Zbl

29. Schmidt, C-G., p-adic measures attached to automorphic representations of GL(3), Invent. Math. 92 (1988), 597-631. | MR | Zbl

30. Serre, J-P., Facteurs locaux des fonctions zêta des variétés algébriques, Oeuvres, Vol.2, 581-592.

31. Serre, J-P., Sur le r6sidu de la fonction zêta p-adique d'un corps de nombres, C.R.A.S. Paris 287 (1978), 183-188. | MR | Zbl

32. Sturm, J., Special; values of zeta functions and Eisenstein series of half integral weight, Amer. J. Math. 102 (1980), 219-240. | MR | Zbl

33. Sturm, J., Evaluation of the symmetric square at the near center point, to appear. | MR | Zbl

34. Wagstaff, S., The irregular primes to 125000, Math. Computation 32 (1978), 583-591. | MR | Zbl

35. Yager, R., p-adic measures on Galois groups, Invent. Math. 76 (1984), 331- 343. | MR | Zbl

36. Hida, H.,. A p-adic measure attached to the zeta functions associated with two elliptic modular forms I, Invent. Math. 79 (1985), 159-195. | MR | Zbl

37. Hida, H., p-adic L-functions for base change lifts of GL(2) to GL(3), to appear. | MR | Zbl