Geodesic
The $\mathfrak p$-adic zeta-fucntion of an imaginary quadratic field and the Leopoldt regualtor
Sbornik. Mathematics, Tome 31 (1977) no. 2, pp. 151-158 
M. M. Vishik. The $\mathfrak p$-adic zeta-fucntion of an imaginary quadratic field and the Leopoldt regualtor. Sbornik. Mathematics, Tome 31 (1977) no. 2, pp. 151-158. http://geodesic.mathdoc.fr/item/SM_1977_31_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper gives a construction of the $\mathfrak p$-adic zeta-function of an imaginary quadratic field which can be used to express the class number with conductor $\mathfrak p^n$ of complex multiplication fields. We obtain an exact formula for the norm of the Leopoldt regulator of such fields; this formula follows from the existence of a $\Gamma$-module associated to the regulator. Bibliography: 9 titles.

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[7] C. L. Siegel, Lectures on Advanced Analytic Number Theory, Tata Institut, Bombay, 1961 | MR

[8] M. M. Vishik, “Nearkhimedovy mery, svyazannye s ryadami Dirikhle”, Matem. sb., 99(141) (1976), 248–260 | Zbl

[9] B. Mazur, “$p$-Adic Analytic Number Theory of Elliptic Curves and Abelian Varieties over $\mathbf{Q}$”, Proc. Int. Congr. of Math., Vancouver, 1974, 369–377 | MR