Title: General Dirichlet series and Bohr’s equivalence theorem
Abstract: This chapter treats a class of series, called general Dirichlet series, which includes both power series and ordinary Dirichlet series as special cases. Most of the chapter is devoted to a method developed by Harald Bohr [6] in 1919 for studying the set of values taken by Dirichlet series in a half-plane. Bohr introduced an equivalence relation among Dirichlet series and showed that equivalent Dirichlet series take the same set of values in certain half-planes. The theory uses Kronecker’s approximation theorem discussed in the previous chapter. At the end of the chapter applications are given to the Riemann zeta function and to Dirichlet L-functions.
Publication Year: 1990
Publication Date: 1990-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 1
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