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On the factorization of p-adic L-series. (English) Zbl 0472.12011


MSC:

11R42 Zeta functions and \(L\)-functions of number fields
11S40 Zeta functions and \(L\)-functions
11R11 Quadratic extensions
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References:

[1] Cassou-Noguès, P.:p-adicL-functions for elliptic curves with complex multiplication. Thesis. Bordeaux 1978
[2] Ferrero, B., Greenberg, R.: On the behavior ofp-adicL-functions ats=0. Invent. Math.50, 91-102 (1978) · Zbl 0441.12003
[3] Gross, B., Koblitz, N.: Gauss sums and thep-adic ?-function. Ann. of Math.109, 569-581 (1979) · Zbl 0406.12010
[4] Iwasawa, K.: Lectures onp-adicL-functions. Annals of Math. Studies 74, Princeton University Press 1972
[5] Katz, N.:p-adic interpolation of real analytic Eisenstein series. Ann. of Math.104, 459-571 (1976) · Zbl 0354.14007
[6] Katz, N.:p-adicL-functions for CM fields. Invent. Math.49, 199-297 (1978) · Zbl 0417.12003
[7] Kubert, D., Lang, S.: Modular units inside cyclotomic units. Bull. Math. Soc. France 1979 · Zbl 0409.12007
[8] Kubota, T., Leopoldt, H.W.: Einep-adische Theorie der, Zeta-Werte I. J. Reine Angew. Math.214/215, 328-339 (1964) · Zbl 0186.09103
[9] Manin, J., Vishik, S.:p-adic Hecke series for quadratic imaginary fields. Math. Sbornik V95, 137 (1974) · Zbl 0329.12016
[10] Robert, G.: Unités élliptiques. Bull. Soc. Math. France Supplément. Mémoire No. 36, 1973
[11] Serre, J-P.: Sur le résidu de la fonction zêtap-adique d’un corps de nombres. pp. 183-188. C. R. Acad. Sci. Paris 1978
[12] Stark, H.M.: Class fields and modular forms of weight one. Lect. Notes Math.601, pp. 277-287. Berlin, Heidelberg New York, 1977 · Zbl 0363.12010
[13] Vishik, S.: Thep-adic zeta function of an imaginary quadratic field and the Leopoldt regulator. Math. Sbornik Tom102, 144 (1977) · Zbl 0443.12007
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