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On p-adic L-functions over real quadratic fields. (English) Zbl 0305.12008


MSC:

11R42 Zeta functions and \(L\)-functions of number fields
11R11 Quadratic extensions
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References:

[1] Cartier, P., Roy, Y.: Certains calculs numériques relatifs à l’interpolationp-adique des séries de Dirichlet. In: Modular functions of one variable III, pp. 269-349. Lecture Notes in Mathematics350. Berlin-Heidelberg-New York: Springer 1973
[2] Coates, J., Lichtenbaum, S.: Onl-adic zeta functions. Ann. of Math.98, 498-550 (1973) · Zbl 0279.12005 · doi:10.2307/1970916
[3] Coates, J., Sinnott, W.: An analogue of Stickelberger’s theorem for the higherK-groups. Inventiones math. (to appear) · Zbl 0282.12006
[4] Iwasawa, K.: Onp-adicL-functions. Ann. of Math.89, 198-205 (1969) · Zbl 0186.09201 · doi:10.2307/1970817
[5] Kubota, T., Leopoldt, H.: Einep-adische Theorie der Zetawerte. J. reine u. angew. Math.214/215, 328-339 (1964) · Zbl 0186.09103
[6] Rideout, D.: A generalization of Stickelberger’s theorem. Ph. D. thesis, McGill University, Montreal (1970)
[7] Serre, J.-P.: Formes modulaires et fonctions zêtap-adiques. In: Modular functions of one variable III, pp. 191-268. Lecture Notes in Mathematics350. Berlin-Heidelberg-New York: Springer 1973
[8] Siegel, C.: Bernoullische Polynome und quadratischer Zahlkörper. Göttingen Nachr.2, 7-38 (1968) · Zbl 0273.12002
[9] Siegel, C.: Über die Fourierschen Koeffizienten von Modulformen. Göttingen Nachr.3, 15-56 (1970) · Zbl 0225.10031
[10] Sinnott, W.: Ph. D. thesis, Stanford University, Stanford (1974)
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