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Results tagged with dirichlet-series
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user 74668
2
votes
2
answers
250
views
Does there exist a known Dirichlet series verifying all these conditions and have non trivia...
Let $s=α+iβ$ be a complex number. Consider the Dirichlet series of the form $$f(s)=∑_{n=1}^{∞}(a_{n})/n^{s}$$
where $(a_{n})_{n≥1}$ is a real sequence.
We consider the class of Dirichlet series sati …
- 1,197
1
vote
2
answers
213
views
A rapidly-converging series of the Hasse–Weil L-function associated with an elliptic curve o...
I know that for some L-series there is still a rapidly-converging series. My question is about the existence of a such a series for the Dirichlet series of the Hasse–Weil L-function associated with an …
- 1,197
0
votes
1
answer
196
views
The $k^{th}$ derivative of a L-function has necessarily infinitely many zeros
My current question is concerned with a reference (paper or book) containing a proof of this result: The $k^{th}$ derivative of a L-function has necessarily infinitely many zeros.
- 1,197