2015
DOI: 10.1134/s0001434615030189
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Yet another representation for reciprocals of the nontrivial zeros of the riemann zeta function

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Cited by 2 publications
(3 citation statements)
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“…More generally, N n=1 d k (n) can be asymptotically expressed as N times a polynomial of degree k − 1 in ln(N), which in turn can be described as the residue at z = 1 of z −1 ζ(z) k N z . See [169] for an application of {γ j } ∞ j=0 to asymptotic series for E n (ω) and E n (Ω), [361] for a generalization, and [362,363,364,365,366,367,368] for connections to the Riemann hypothesis. 2.22.…”
Section: Stieltjes Constantsmentioning
confidence: 99%
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“…More generally, N n=1 d k (n) can be asymptotically expressed as N times a polynomial of degree k − 1 in ln(N), which in turn can be described as the residue at z = 1 of z −1 ζ(z) k N z . See [169] for an application of {γ j } ∞ j=0 to asymptotic series for E n (ω) and E n (Ω), [361] for a generalization, and [362,363,364,365,366,367,368] for connections to the Riemann hypothesis. 2.22.…”
Section: Stieltjes Constantsmentioning
confidence: 99%
“…Further work regarding Li's criterion, which is equivalent to Riemann's hypothesis and which involves the Stieltjes constants, appears in [362,363]. A different criterion is due to Matiyasevich [364,365]; the constant − ln(4π) + γ + 2 = 0.0461914179... = 2(0.0230957089...) comes out as a special case. See also [366,367,368].…”
Section: 31mentioning
confidence: 99%
“…[2, Eqs. 3.2(7) and 3.8(4)], [4], [5], [6]). This comment likely applies to any other choice of F (z) [7], [8].…”
Section: Introductionmentioning
confidence: 99%