Dirichlet Series
المؤلف:
Bohr, H.
المصدر:
"Zur Theorie der allgemeinen Dirichletschen Reihen." Math. Ann. 79
الجزء والصفحة:
...
23-8-2020
1082
Dirichlet Series
A series
where 
and 
are complex and ![<span style=]()
{lambda(n)}" src="https://mathworld.wolfram.com/images/equations/DirichletSeries/Inline3.gif" style="height:15px; width:35px" /> is a monotonic increasing sequence of real numbers. The numbers 
are called the exponents, and 
are called the coefficients. When 
, then 
, the series is a normal Dirichlet L-series. The Dirichlet series is a special case of the Laplace-Stieltjes transform.
REFERENCES:
Apostol, T. M. "General Dirichlet Series and Bohr's Equivalence Theorem." Ch. 8 in Modular Functions and Dirichlet Series in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 161-189, 1997.
Bohr, H. "Zur Theorie der allgemeinen Dirichletschen Reihen." Math. Ann. 79, 136-156, 1919.
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