Multiple Gamma Function and Its Application to Computation of Series
, 2003 The multiple gamma function $\Gamma_n$, defined by a recurrence-functional equation as a generalization of the Euler gamma function, was originally introduced by Kinkelin, Glaisher, and Barnes around 1900.
Adamchik, V. S.
core +3 more sources
Combinations of $L$-functions and Their Non-coincident Zeros for $\sigma>1$
, 2020 The purpose of this note is to build upon work of Booker--Thorne and Righetti concerning zeros of algebraic combinations of $L$-functions. Namely, we show that two generic combinations of functions from a wide class of Euler products have non-coincident ...
Kirila, Scott
core
Evaluation of a ln tan integral arising in quantum field theory
, 2007 We analytically evaluate a dilogarithmic integral that is prototypical of volumes of ideal tetrahedra in hyperbolic geometry. We additionally obtain new representations of the Clausen function Cl_2 and the Catalan constant G=Cl_2(\pi/2), as well as new ...
Abramowitz M. +6 more
core +2 more sources
El problema de π-geografía y el problema de Hurwitz
Ingeniería y Ciencia, 2009 Sea d ≥ 2 un entero y una partición de d. En este artículo se estudia el problema de para qué pares de enteros (a, b) existe un recubrimiento ramificado F : ∑ → D2 = {z ∈ C : |z| 6 ≤ 1} que tenga a valores críticos, x(∑) = −b, y tal que la monodromía ...
Carlos Cadavid, Juan D. Vélez-C.
doaj
The Kronecker limit formulas via the distribution relation [PDF]
, 2008 In this paper, we give a proof of the classical Kronecker limit formulas using the distribution relation of the Eisenstein-Kronecker series. Using a similar idea, we then prove $p$-adic analogues of the Kronecker limit formulas for the $p$-adic ...
Bannai, Kenichi, Kobayashi, Shinichi
core
What works? Lessons from a pretrial qualitative study to inform a multi-component intervention for refugees and asylum seekers: Learning Through Play and EMDR Group Traumatic Episode Protocol. [PDF]
J Community Psychol, 2023 Kaptan SK +4 more
europepmc +1 more source
Note on Coleman's formula for the absolute Frobenius on Fermat curves
, 2019 Coleman calculated the absolute Frobenius on Fermat curves explicitly. In this paper we show that a kind of $p$-adic continuity implies a large part of his formula.
Kashio, Tomokazu
core
Monotone and fast computation of Euler's constant. [PDF]
J Inequal Appl, 2017 Adell JA, Lekuona A.
europepmc +1 more source
Persistence of the immune response after 4CMenB vaccination, and the response to an additional booster dose in infants, children, adolescents, and young adults. [PDF]
Hum Vaccin Immunother, 2019 Martinón-Torres F +3 more
europepmc +1 more source
On limit distribution of the Hurwitz zeta-function
Open Mathematics, 2010 Laurinčikas Antanas
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