Discrete Approximation by a Dirichlet Series Connected to the Riemann Zeta-Function
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In the paper, a Dirichlet series ζuN(s) whose shifts ζuN(s+ikh), k=0,1,⋯, h>0, approximate analytic non-vanishing functions defined on the right-hand side of the critical strip is considered. This series is closely connected to the Riemann zeta-function. The sequence uN→∞ and uN≪N2 as N→∞.
2012 ◽
Vol 87
(3)
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pp. 452-461
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1947 ◽
Vol 53
(10)
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pp. 976-982
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1984 ◽
Vol 19
(1)
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pp. 85-102
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2018 ◽
Vol 14
(02)
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pp. 371-382
2007 ◽
Vol 62
(6)
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pp. 251-252
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