Values ofp-adicL-functions and ap-adic Poisson kernel
نویسندگان
چکیده
منابع مشابه
p-adic measures and square roots of special values of triple product L-functions
Introduction Let p be a prime number. In this note, we combine the methods of Hida with the results of [HK1] to define a p-adic analytic function, the squares of whose special values are related to the values of triple product L-functions at their centers of symmetry. More precisely, let f , g, and h be classical normalized cuspidal Hecke eigenforms of level 1 and (even) weights k, l, and m, re...
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Introduction 1 1. Basic notions 6 1.1. Motives for rational and homological equivalence 6 1.2. Algebraic Hecke characters 7 1.3. The motive of a Hecke character 8 1.4. Deligne-Scholl motives 9 1.5. Modular parametrisations attached to CM forms 10 1.6. Generalised Heegner cycles and Chow-Heegner points 13 1.7. A special case 15 2. Chow-Heegner points over Cp 15 2.1. The p-adic Abel-Jacobi map 15...
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We give a proof of the irrationality of the p-adic zeta-values ζp(k) for p = 2, 3 and k = 2, 3. Such results were recently obtained by F.Calegari as an application of overconvergent p-adic modular forms. In this paper we present an approach using classical continued fractions discovered by Stieltjes. In addition we show irrationality of some other p-adic L-series values, and values of the p-adi...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1990
ISSN: 0020-9910,1432-1297
DOI: 10.1007/bf01231508