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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SP Birkhäuser Verlag Basel
2016
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| Online Access: | http://hdl.handle.net/1721.1/105497 |