An Invariant P -Adic Integral Associated with Daehee Numbers

By Taekyun Kim. 2002

61 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/481cd7641b44fbab02e38f3f87146fbd1d2f1a4c

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In Algebra and Number Theory

In Mathematical Physics

Citations in the corpus

A New approach to q-zeta function (2005, unknown): “By (5) and (6), we obtain the following Witt’s formula.”
Daehee Numbers and polynomials (2013, unknown): “p f (x) dμ0 (x) = lim n→∞ 1 pn pn−1 ∑ x=0 f (x) , (see [6, 7]) .”
Explicit formulas for p-adic integrals: approach to p-adic distributions and some families of special numbers and polynomials. (2019, methodology): “In order to define invariant p-adic z-integrals, Kim [55] gave the following distribution on Zp: Let μz ( a+ pZp ) = z [pN : z] , where [x : z] = 1− z 1− z .”
Multiple p-adic L-function (2005, unknown): “These p-adic L-functions interpolate the values Lp(1− n, χ) = − 1 n (1− χn(p)p )Bn,χn , for n ∈ N = {1, 2, · · · , } , where Bn,χ denote the nth generalized Bernoulli numbers associated with the primitive Dirichlet character χ, and χn = χw , with w the Teichmüller character, cf.[1-24].”
New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials (2007, methodology): “By using q-Volkenborn integration (see for detail [9], [10], [11], [12], [14], [27]), the first author defined generating function of the new twisted (h, q)-extension of Bernoulli numbers, B (h) n,w(q) by means of the following generating function[25]: F (h) w,q(t) = I1(w qe) = log q + t wqhet − 1 (”
$q$-Volkenborn Integration and Its Applications (2005, background): “0≤j<pN f(j)μq(j + p Zp), cf.[7, 8, 9, 11], which represents a q-analogue of Riemann sums for f .”