A discrete universality theorem for general Dirichlet series

Renata Macaitiene

doi:10.1524/anly.2006.26.99.373

A discrete universality theorem for general Dirichlet series

Analysis ◽

10.1524/anly.2006.26.99.373 ◽

2006 ◽

Vol 26 (3) ◽

Cited By ~ 1

Author(s):

Renata Macaitiene

Keyword(s):

Dirichlet Series ◽

General Dirichlet Series ◽

Universality Theorem ◽

Discrete Universality

We prove a discrete universality theorem for functions given by general Dirichlet series, satisfying several conditions.

A discrete universality theorem for general Dirichlet series

Analysis ◽

10.1524/anly.2007.26.3.373 ◽

2007 ◽

Vol 26 (3) ◽

pp. 373-381

Author(s):

Renata Macaitiene

Keyword(s):

Dirichlet Series ◽

General Dirichlet Series ◽

Universality Theorem ◽

Discrete Universality

Joint discrete limit theorems in the space of analytic functions for general Dirichlet series

Lithuanian Mathematical Journal ◽

10.1007/s10986-005-0009-4 ◽

2005 ◽

Vol 45 (1) ◽

pp. 84-93 ◽

Cited By ~ 2

Author(s):

R. Macaitienė

Keyword(s):

Dirichlet Series ◽

Analytic Functions ◽

Limit Theorems ◽

Space Of Analytic Functions ◽

General Dirichlet Series

General Dirichlet series and Bohr’s equivalence theorem

Modular Functions and Dirichlet Series in Number Theory - Graduate Texts in Mathematics ◽

10.1007/978-1-4612-0999-7_8 ◽

1990 ◽

pp. 161-189

Author(s):

Tom M. Apostol

Keyword(s):

Dirichlet Series ◽

Equivalence Theorem ◽

General Dirichlet Series

Variants of a theorem of Helson on general Dirichlet series

Journal of Functional Analysis ◽

10.1016/j.jfa.2020.108569 ◽

2020 ◽

Vol 279 (5) ◽

pp. 108569 ◽

Cited By ~ 4

Author(s):

Andreas Defant ◽

Ingo Schoolmann

Keyword(s):

Dirichlet Series ◽

General Dirichlet Series

Sets of values of general Dirichlet series

Duke Mathematical Journal ◽

10.1215/s0012-7094-68-03508-4 ◽

1968 ◽

Vol 35 (1) ◽

pp. 79-82 ◽

Cited By ~ 2

Author(s):

Robert Spira

Keyword(s):

Dirichlet Series ◽

General Dirichlet Series

Vector-valued general Dirichlet series

Studia Mathematica ◽

10.4064/sm200127-24-4 ◽

2020 ◽

Author(s):

Daniel Carando ◽

Andreas Defant ◽

Felipe Marceca ◽

Ingo Schoolmann

Keyword(s):

Dirichlet Series ◽

General Dirichlet Series ◽

Vector Valued

Corrigendum to “A uniqueness property of general Dirichlet series” [J. Number Theory 206 (2020) 123–137]

Journal of Number Theory ◽

10.1016/j.jnt.2020.02.002 ◽

2020 ◽

Vol 213 ◽

pp. 462-463

Author(s):

Anup B. Dixit

Keyword(s):

Number Theory ◽

Dirichlet Series ◽

Uniqueness Property ◽

General Dirichlet Series

Discrete Limit Theorems for General Dirichlet Series. II

Lithuanian Mathematical Journal ◽

10.1023/b:lima.0000019858.76674.53 ◽

2004 ◽

Vol 44 (1) ◽

pp. 71-77 ◽

Cited By ~ 3

Author(s):

R. Macaitienė

Keyword(s):

Dirichlet Series ◽

Limit Theorems ◽

General Dirichlet Series

A Joint Limit Theorem for General Dirichlet Series

Lithuanian Mathematical Journal ◽

10.1023/b:lima.0000019854.08406.73 ◽

2004 ◽

Vol 44 (1) ◽

pp. 18-35 ◽

Cited By ~ 1

Author(s):

J. Genys ◽

A. Laurinčikas

Keyword(s):

Limit Theorem ◽

Dirichlet Series ◽

General Dirichlet Series ◽

Joint Limit Theorem ◽

Joint Limit

Summation Formulae for Coefficients of L-functions

Canadian Journal of Mathematics ◽

10.4153/cjm-2005-021-5 ◽

2005 ◽

Vol 57 (3) ◽

pp. 494-505 ◽

Cited By ~ 21

Author(s):

John B. Friedlander ◽

Henryk Iwaniec

Keyword(s):

Functional Equation ◽

Dirichlet Series ◽

Summation Formula ◽

General Dirichlet Series ◽

Summation Formulae

AbstractWith applications inmind we establish a summation formula for the coefficients of a general Dirichlet series satisfying a suitable functional equation. Among a number of consequences we derive a generalization of an elegant divisor sum bound due to F. V. Atkinson.