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[SÁCH][B] Cyclotomic fields I and II
S Lang - 2012 - books.google.com
Kummer's work on cyclotomic fields paved the way for the development of algebraic number
theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However …
theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However …
[SÁCH][B] Congruences for L-functions
J Urbanowicz, KS Williams - 2000 - books.google.com
In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear
congruence involving class numbers of imaginary quadratic fields modulo a certain power of …
congruence involving class numbers of imaginary quadratic fields modulo a certain power of …
The p-adic generalized twisted (h, q)-Euler-l-function and its applications
M Cenkci - arxiv preprint arxiv:0704.1397, 2007 - arxiv.org
arxiv:0704.1397v1 [math.NT] 11 Apr 2007 Page 1 arxiv:0704.1397v1 [math.NT] 11 Apr 2007
The p-adic Generalized Twisted (h, q)-Euler-l-Function and Its Applications Mehmet Cenkci …
The p-adic Generalized Twisted (h, q)-Euler-l-Function and Its Applications Mehmet Cenkci …
Raabe's formula for -adic gamma and zeta functions
H Cohen, E Friedman - Annales de L'institut Fourier, 2008 - numdam.org
The classical Raabe formula computes a definite integral of the logarithm of Euler's Γ-
function. We compute p-adic integrals of the p-adic log Γ-functions, both Diamond's and …
function. We compute p-adic integrals of the p-adic log Γ-functions, both Diamond's and …
[PDF][PDF] Congruence relations of Ankeny–Artin–Chowla type for real quadratic fields
N Fellini - arxiv preprint arxiv:2410.20934, 2024 - researchgate.net
Abstract In 1951, Ankeny, Artin, and Chowla published a brief note containing four
congruence relations involving the class number of Q (√ d) for positive squarefree integers …
congruence relations involving the class number of Q (√ d) for positive squarefree integers …
[PDF][PDF] Further Remarks on multiple p-adic L-function of two variables
arxiv:math/0612005v1 [math.NT] 30 Nov 2006 Page 1 arxiv:math/0612005v1 [math.NT] 30
Nov 2006 Further Remarks on Multiple p-adic qL-Function of Two Variables ∗ Mehmet Cenkci …
Nov 2006 Further Remarks on Multiple p-adic qL-Function of Two Variables ∗ Mehmet Cenkci …
Multiple two-variable p-adic qL-function and its behavior at s = 0
The objective of this paper is to construct a multiple p-adic qL-function of two variables which
interpolates multiple generalized q-Bernoulli polynomials. By using this function, we solve a …
interpolates multiple generalized q-Bernoulli polynomials. By using this function, we solve a …
[HTML][HTML] On p-adic Diamond–Euler log gamma functions
MS Kim, S Hu - Journal of Number Theory, 2013 - Elsevier
Text In this paper, using the fermionic p-adic integral on Z p, we define the corresponding p-
adic Log Gamma functions, so-called p-adic Diamond–Euler Log Gamma functions. We then …
adic Log Gamma functions, so-called p-adic Diamond–Euler Log Gamma functions. We then …
[HTML][HTML] The (S,{2})-Iwasawa theory
S Hu, MS Kim - Journal of Number Theory, 2016 - Elsevier
Iwasawa made the fundamental discovery that there is a close connection between the ideal
class groups of Z p-extensions of cyclotomic fields and the p-adic analogue of Riemann's …
class groups of Z p-extensions of cyclotomic fields and the p-adic analogue of Riemann's …
[SÁCH][B] Zeros of p-adic L-functions and densities relating to Bernoulli numbers
RF Sunseri - 1980 - search.proquest.com
A prime p is said to be irregular if it divides the numerator of the Bernoulli number B (, i) for
some even integer i between 1 and p-2. For every irregular pair (p, i) with p< 125,000 it is …
some even integer i between 1 and p-2. For every irregular pair (p, i) with p< 125,000 it is …