-adic interpolation of special values of Hecke L-functions
Pierre Colmez, Leila Schneps (1992)
Compositio Mathematica
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Pierre Colmez, Leila Schneps (1992)
Compositio Mathematica
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Yakov Varshavsky (1998)
Publications Mathématiques de l'IHÉS
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Arnt Volkenborn (1974)
Mémoires de la Société Mathématique de France
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Haruzo Hida (1988)
Annales de l'institut Fourier
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Let and be holomorphic common eigenforms of all Hecke operators for the congruence subgroup of with “Nebentypus” character and and of weight and , respectively. Define the Rankin product of and by Supposing and to be ordinary at a prime , we shall construct a -adically analytic -function of three variables which interpolate the values for integers with by regarding all the ingredients , and as variables. Here is the Petersson...
Andrei Khrennikov, Shinichi Yamada, Arnoud van Rooij (1999)
Annales mathématiques Blaise Pascal
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Victor Alexandru, Nicolae Popescu, Alexandru Zaharescu (2003)
Journal de théorie des nombres de Bordeaux
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Let be a prime number, the field of -adic numbers and the completion of the algebraic closure of . In this paper we obtain a representation theorem for rigid analytic functions on which are equivariant with respect to the Galois group , where is a lipschitzian element of and denotes the -neighborhood of the -orbit of .
Bernd Sing (2009)
Actes des rencontres du CIRM
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