Zeta functions for the Riemann zeros
Copyright policy ) Voros, André;
Zeta functions for the Riemann zeros
A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structures, plus countably many special values) are explicitly displayed.
Riemann zeros, \(\zeta (s)\) and \(L(s, \chi)\), Riemann Zeta function, meromorphic functions, Dirichlet series, Other Dirichlet series and zeta functions, Mellin transform, Hadamard factorization
Riemann zeros, \(\zeta (s)\) and \(L(s, \chi)\), Riemann Zeta function, meromorphic functions, Dirichlet series, Other Dirichlet series and zeta functions, Mellin transform, Hadamard factorization
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).13 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 13
Average
Top 10%
Average
gold
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