@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},
author = {Collectif},
series = {Ast\'erisque},
note = {talk:701},
publisher = {Soci\'et\'e math\'ematique de France},
number = {177-178},
year = {1989},
zbl = {0706.11064},
mrnumber = {1040567},
language = {en},
url = {http://www.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 DA - 1989/// IS - 177-178 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1988-1989__31__33_0/ UR - https://zbmath.org/?q=an%3A0706.11064 UR - https://www.ams.org/mathscinet-getitem?mr=1040567 LA - en ID - SB_1988-1989__31__33_0 ER -
Coates, John. On $p$-adic $L$-functions, dans Séminaire Bourbaki : volume 1988/89, exposés 700-714, Astérisque, no. 177-178 (1989), Exposé no. 701, 27 p. http://www.numdam.org/item/SB_1988-1989__31__33_0/
1. , , p-adic étale cohomology, Publ. Math. I.H.E.S. No. 63 (1986),107-152. | Numdam | MR 849653 | Zbl 0613.14017
2. ,Valeurs aux entiers negatifs des fonctions zêta et fonctions zêta p-adiques, Invent. Math. 51 (1979),29-59. | MR 524276 | Zbl 0408.12015
3. , ,The symmetric square of an elliptic curve, to appear.
4. , , On p-adic L-functions attached to motives over Q, Advanced Studies in Pure Math. 17 (1989), 23-54. | MR 1097608 | Zbl 0783.11039
5. , On the main conjectures of Iwasawa theory, to appear in Proceedings of 1989 Durham Symposium on L-functions in Arithmetic. | MR 1097606
6. , Dilogarithms, regulators, and p-adic L-functions, Invent. Math. 69 (1982), 171-208. | MR 674400 | Zbl 0516.12017
7. , , p-adic regulators on curves and special values of p-adic L-functions, Invent. Math. 93 (1988), 239-266. | MR 948100 | Zbl 0655.14010
8. , Résidu en s=1 des fonctions zeta p-adiques, Invent. Math. 91 (1988), 371-389. | MR 922806 | Zbl 0651.12010
9. , Les constantes des équations fonctionelles des fonctions L, Antwerp II,Springer L.N. 349 (1973), 501-595. | MR 349635 | Zbl 0271.14011
10. ,Valeurs de fonctions L et périodes d'intégrales, Proc. Symp. Pure Math. A.M.S. 33 (1979), Vol. 2, 313-346. | MR 546622 | Zbl 0449.10022
11. , , Values of abelian L-functions at negative integers over totally real fields, Invent. Math. 59 (1980), 227-286. | MR 579702 | Zbl 0434.12009
12. , p-adic Hodge theory, Journal A.M.S. 1 (1988), 255-299. | MR 924705 | Zbl 0764.14012
13. , , On the behaviour of p-adic L-functions at s=0, Invent. Math. 50 (1978), 91-102. | MR 516606 | Zbl 0441.12003
14. , , p-adic periods and p-adic etale cohomology, Contemp. Math. A.M.S. 67 (1987),179-207. | MR 902593 | Zbl 0632.14016
15. , , A relation between automorphic representations of GL(2) and GL(3), Ann. Sc. E.N.S. 11 (1978),471-542. | Numdam | MR 533066 | Zbl 0406.10022
16. , p-adic L-functions for modular forms, Compositio Math. 62 (1987), 31-46. | Numdam | MR 892149 | Zbl 0618.10027
17. , On p-adic L-functions, Ann. of Math. 89 (1969), 198-205. | MR 269627 | Zbl 0186.09201
18. , p-adic interpolation of real analytic Eisenstein series, Ann. of Math. 104 (1976),459-571. | MR 506271 | Zbl 0354.14007
19. , , Eine p-adische theorie der zetawerte, Crelle 214/215 (1964), 328-339. | MR 163900 | Zbl 0186.09103
20. , Periods of parabolic forms and p-adic Hecke series, Math. Sbornik A.M.S. 21 (1973), 371-393. | Zbl 0293.14008
21. ,Values of p-adic Hecke series at integer points of the critical strip, Math. Sbornik A.M.S. 22 (1974), 631-637. | Zbl 0304.14013
22. ,, p-adic Hecke series of imaginary quadratic fields, Math. Sbornik A.M.S. 24 (1974), 345-371. | Zbl 0329.12016
23. , , Arithmetic of Weil curves, Invent. Math. 18 (1972), 183-266. | MR 354674 | Zbl 0245.14015
24. ,, , On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer, Invent. Math. 84 (1986), 1-48. | MR 830037 | Zbl 0699.14028
25. , , Class fields of abelian extensions of Q , Invent. Math. 76 (1984),179-330. | MR 742853 | Zbl 0545.12005
26. , Non-archimedean automorphic L-functions (in Russian), Moscow University (1988). | Zbl 0667.10017
27. , Points de Heegner et dérivées de fonctions L p-adiques, Invent. Math. 89 (1987), 455-510. | MR 903381 | Zbl 0645.14010
28. , Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication, Invent. Math. 89 (1987), 527-560. | MR 903383 | Zbl 0628.14018
29. , p-adic measures attached to automorphic representations of GL(3), Invent. Math. 92 (1988), 597-631. | MR 939477 | Zbl 0656.10023
30. , Facteurs locaux des fonctions zêta des variétés algébriques, Oeuvres, Vol.2, 581-592.
31. , Sur le r6sidu de la fonction zêta p-adique d'un corps de nombres, C.R.A.S. Paris 287 (1978), 183-188. | MR 506177 | Zbl 0393.12026
32. , Special; values of zeta functions and Eisenstein series of half integral weight, Amer. J. Math. 102 (1980), 219-240. | MR 564472 | Zbl 0433.10015
33. , Evaluation of the symmetric square at the near center point, to appear. | MR 1011550 | Zbl 0705.11027
34. , The irregular primes to 125000, Math. Computation 32 (1978), 583-591. | MR 491465 | Zbl 0377.10002
35. , p-adic measures on Galois groups, Invent. Math. 76 (1984), 331- 343. | MR 742854 | Zbl 0555.12006
36. ,. A p-adic measure attached to the zeta functions associated with two elliptic modular forms I, Invent. Math. 79 (1985), 159-195. | MR 774534 | Zbl 0573.10020
37. , p-adic L-functions for base change lifts of GL(2) to GL(3), to appear. | MR 1044829 | Zbl 0705.11033
