General Dirichlet series and Bohr’s equivalence theorem

1990 ◽  
pp. 161-189
Author(s):  
Tom M. Apostol
Keyword(s):  
Dirichlet Series ◽  
Equivalence Theorem ◽  
General Dirichlet Series

scholarly journals Variants of a theorem of Helson on general Dirichlet series

2020 ◽  
Vol 279 (5) ◽  
pp. 108569 ◽  
Author(s):  
Andreas Defant ◽  
Ingo Schoolmann
Keyword(s):  
Dirichlet Series ◽  
General Dirichlet Series

A discrete universality theorem for general Dirichlet series

Analysis ◽  
2006 ◽  
Vol 26 (3) ◽  
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.

scholarly journals Vector-valued general Dirichlet series

2020 ◽  
Author(s):  
Daniel Carando ◽  
Andreas Defant ◽  
Felipe Marceca ◽  
Ingo Schoolmann
Keyword(s):  
Dirichlet Series ◽  
General Dirichlet Series ◽  
Vector Valued

Summation Formulae for Coefficients of L-functions

2005 ◽  
Vol 57 (3) ◽  
pp. 494-505 ◽  
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.

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