General Properties of Dirichlet Series

Author(s):  
Hervé Queffelec ◽  
Martine Queffelec
Author(s):  
Hervé Queffélec ◽  
Martine Queffélec

1948 ◽  
Vol 8 (2) ◽  
pp. 43-49
Author(s):  
P. Vermes

In a recent paper some general properties of γ-matrices were proved and Dienes' theorem on regular γ-matrices extended to semiregular γ-matrices and the binomial series. In section 2 of this paper the previous results will be extended to certain classes of Taylor series. Section 3 gives some new results on Borel's exponential summation, and section 4 introduces matrices efficient for Taylor series on the circle of convergence and others efficient for Dirichlet series on the line of convergence. A knowledge of the definitions and results of the paper mentioned above is assumed.


1990 ◽  
Vol 88 (2) ◽  
pp. 233-250 ◽  
Author(s):  
Detlev Buchholz ◽  
Claudio D'Antoni ◽  
Roberto Longo

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