We give some p-adic integral representations for the two-variable p-adic L-functions introduced recently by G. Fox. For powers of the Teichm眉ller character, we use the integral representation to extend the L-function to a larger domain, in which it is a meromorphic function in the first ...
p-adicL-functionμ-invariant11R2311G40Using the idea of Sinnott, Gillard and Schneps, we prove the μ-invariant is zero for the two-variable primitive p-adic L-function constructed by Kang (2012), which arises naturally in the study of Iwasawa theory for an elliptic curve with complex ...
Kovalevskaya, On Diophantine approximation of dependent quantities in the p-adic case, Mathematical Notes 73(1) (2003) 21–35 (translation of Mat. Zametki, 73(1) (2003) 22–37). Google Scholar [5] V. Bernik On the exact order of approximation of zero by values of integral polynomials ...
arXiv:1312.7009v1 [math.FA] 25 Dec 2013.ON ORTHOGONAL p-ADIC WAVELET BASESS. EVDOKIMOV AND M. SKOPINAAbstract. A variety of different orthogonal wavelet bases has been foundin L 2 (R) for the last three decades. It appeared that similar constructionsalso exist for functions defined on ...
38 RIZWANUR KHAN_ NON-VANISHING OF DIRICHLET $L$-FUNCTIONS 1:03:08 ABHISHEK SAHA_ THE MANIN CONSTANT AND $P$-ADIC BOUNDS ON DENOMINATORS OF THE FOU 1:07:20 ADRIAN DIACONU_ SECONDARY TERMS IN THE ASYMPTOTICS OF MOMENTS OF $L$-SERIES 1:14:11 PHILIPPE MICHEL_ SOME EXTENSIONS OF DUKE'S...
By using multiplep-adicq-integrals, we define thep-adicq-L-function inn-variables and theq-extension ofp-adic log multiple gamma functions. From these definitions, we show that the values of thep-adicq-L-function at positive integers can be expressed in terms of theq-extension ofp-adi...
An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichl
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38 RIZWANUR KHAN_ NON-VANISHING OF DIRICHLET $L$-FUNCTIONS 1:03:08 ABHISHEK SAHA_ THE MANIN CONSTANT AND $P$-ADIC BOUNDS ON DENOMINATORS OF THE FOU 1:07:20 ADRIAN DIACONU_ SECONDARY TERMS IN THE ASYMPTOTICS OF MOMENTS OF $L$-SERIES 1:14:11 PHILIPPE MICHEL_ SOME EXTENSIONS OF DUKE'S...
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