Functional independence of the singularities of a class of Dirichlet series

Jerzy Kaczorowski, Alberto Perelli

Type: Article

Publication Date: 1998-04-01

Citations: 20

DOI: https://doi.org/10.1353/ajm.1998.0012

View Publication

Locations

American Journal of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	On the algebraic differential independence of $$ \Gamma $$ and $$ \zeta $$	2023	Feng Lü Shuxin Jiang
+	On algebraic independence of dirichlet series	1986	Harold N. Shapiro Gerson H. Sparer
+ PDF Chat	On the linear independence of the set of Dirichlet exponents	2012	Artūras Dubickas
+	p-adic Preliminaries	1980	Serge Lang
+	p-adic Preliminaries	1990	Serge Lang
+	On the Algebraic Difference Independence of the Euler Gamma Function $$\Gamma $$ and Dirichlet Series	2022	Xiaomin Li Hassan Tahir Xueyuan Gao
+	Joint universality for Dirichlet L-functions and zeros of their linear combinations in the $$\chi $$-aspect	2016	Hidehiko Mishou Hirofumi Nagoshi
+	Singularities of Functions	1950	Mary Michail Geary
+ PDF Chat	Functional independence of theta constants	1968	H. E. Rauch
+	Difference independence of the Euler gamma function	2023	Qiongyan Wang Yao Xiao
+ PDF Chat	Character sums over unions of intervals	2014	Xuancheng Shao
+	GAUSS SUMS AND THE p-ADIC GAMMA FUNCTION	1980	Neal Koblitz
+	Linear Independence of Values of Dirichlet L-Functions	2014	M. Ram Murty Purusottam Rath
+	The Singularities of a Function Defined by a Dirichlet Series	1927	D. V. Widder
+	Algebraic independence of arithmetic gamma values and Carlitz zeta values	2009	Chieh-Yu Chang Matthew A. Papanikolas Dinesh S. Thakur Jing Yu
+ PDF Chat	On the Functional Independence of Ratios of Theta Functions	1927	Solomon Lefschetz
+	Tauberian and Summability Theorems on Dirichlet's Series	1935	V. Ganapathy Iyer
+	p-adic distributions	2011	S. Albeverio A. Yu. Khrennikov V. M. Shelkovich
+	Integral functions	2011	K.A. Stroud Dexter Booth
+	INTEGRAL FUNCTIONS	1966	E. G. Phillips

Works That Cite This (20)

Action	Title	Year	Authors
+ PDF Chat	Notes on the Riemann zeta Function-III	1999	R. Balasubramanian K. Ramachandra A. Sankaranarayanan Babushri Srinivas Kedukodi
+ PDF Chat	Periods of sets of lengths: a quantitative result and an associated inverse problem	2008	Wolfgang Schmid
+ PDF Chat	Structural results for semigroup subsets defined by factorization properties dependent on $$\Omega $$ Ω functions	2014	Maciej Radziejewski
+	Algebraic differential equations with functional coefficients concerning ζ and Γ	2015	Bao Qin Li Zhuan Ye
+ PDF Chat	Analytic monoids and factorization problems	2016	Jerzy Kaczorowski
+ PDF Chat	The asymptotic behaviour of the counting functions of \varOmega -sets in arithmetical semigroups	2014	Maciej Radziejewski
+ PDF Chat	On the distribution of algebraic numbers with prescribed factorization properties	2005	Maciej Radziejewski
+ PDF Chat	Distinct zeros of L-functions	1998	Enrico Bombieri Alberto Perelli
+ PDF Chat	On the asymptotic behavior of some counting functions	2005	Maciej Radziejewski Wolfgang Schmid
+ PDF Chat	Notes on the Riemann zeta-function, II	1999	K. Ramachandra A. Sankaranarayanan

Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	The k-functions in multiplicative number theory. I. On complex explicit formulae	1990	Jerzy Kaczorowski
+	Multiplicative Number Theory	1980	H. Davenport
+ PDF Chat	The Distribution of Prime Numbers	1933	A. E. Ingham
+ PDF Chat	�ber Dirichletsche Reihen und algebraische Differentialgleichungen	1920	Alexander Ostrowski
+ PDF Chat	Selberg’s conjectures and Artin 𝐿-functions	1994	M. Ram Murty
+ PDF Chat	On the Selberg class of Dirichlet series: small degrees	1993	J. Brian Conrey Amit Ghosh
+	Oscillatory properties of arithmetical functions. II	1987	Jerzy Kaczorowski J. Pintz
+	Algebraic Dependence of Arithmetic Functions	1962	J. Popken