Results 31 to 40 of about 101,614 (60)
On nonextendibility of series Dirichlet
The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: Е. Дагене. О непродолжаемости рядов Дирихле E. Dagienė.
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On Lacunary Dirichlet Series [PDF]
I. I. Hirschman, J. A. Jenkins
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Note on Dirichlet Series. IV. On the Singularities of Dirichlet Series [PDF]
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Dirichlet series in function fields
AbstractWe study certain functions from the p-adic integers to a locally compact field of characteristic p: finite linear combinations of exponentials and their uniform limits (which we call Dirichlet series). Our main result is that such a Dirichlet series is determined by its restriction to an arbitrarily small open subset of the p-adic integers.
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On Dirichlet series with identical beginnings
AbstractIt is shown that if Vinogradov's conjecture is false for a Dirichlet character (mod q), then ζ(s) and L(s) are very similar in regions of the critical strip where ζ(s), L(s) are small. In particular, ζ(s) = L(s + h(s)) (where h(s) → 0) in such regions.
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Las series de potencias constituyeron una herramienta esencial manejada por Weierstrass en el siglo XIX dentro de su programa de aritmetización del Análisis Matemático. Más tarde, a principios del siglo XX, en conexión con la función zeta de Riemann se inició un estudio intensivo de las series de Dirichlet, que constituyen el objeto fundamental de este
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