Analytic Continuation of Dirichlet Series with Almost Periodic Coefficients
We consider Dirichlet series ζ[subscript g,α](s)=∑[∞ over n=1]g(nα)e[superscript −λ[subscript n]s] for fixed irrational α and periodic functions g. We demonstrate that for Diophantine α and smooth g, the line Re(s) = 0 is a natural boundary in the Taylor series case λ[subscript n] = n, so that the u...
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| Format: | Article |
| Language: | English |
| Published: |
SP Birkhäuser Verlag Basel,
2016-12-01T19:33:10Z.
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| Subjects: | |
| Online Access: | Get fulltext |