A proof of the Riemann hypothesis on nontrivial zeros of the Riemann zeta function
Nail Musin
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Condensate and superfluid fraction of homogeneous Bose gases in a self-consistent Popov approximation. [PDF]
Vianello C, Salasnich L.
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Exploring a distinct group of analytical functions linked with Bernoulli's Lemniscate using the q-derivative. [PDF]
Al-Shbeil I +3 more
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Population genomics and distribution modeling revealed the history and suggested a possible future of the endemic Agave aurea (Asparagaceae) complex in the Baja California Peninsula. [PDF]
Klimova A +3 more
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A Dyadic–Rotational Decomposition of the Riemann Zeta Function
Ryckman, Patrick
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Is the Riemann Zeta Function in a Short Interval a 1-RSB Spin Glass?
Fyodorov, Hiary & Keating established an intriguing connection between the maxima of log-correlated processes and the ones of the Riemann zeta function on a short interval of the critical line.
L. Arguin, Warren Tai
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Extreme values of the Riemann zeta function and its argument
Mathematische Annalen, 2017We combine our version of the resonance method with certain convolution formulas for ζ(s)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
A. Bondarenko, K. Seip
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On the extreme values of the Riemann zeta function on random intervals of the critical line
, 2016In the present paper, we show that under the Riemann hypothesis, and for fixed $$h, \epsilon > 0$$h,ϵ>0, the supremum of the real and the imaginary parts of $$\log \zeta (1/2 + it)$$logζ(1/2+it) for $$t \in [UT -h, UT + h]$$t∈[UT-h,UT+h] are in the ...
J. Najnudel
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The Riemann hypothesis and universality of the Riemann zeta-function
Mathematica Slovaca, 2018We prove that, under the Riemann hypothesis, a wide class of analytic functions can be approximated by shifts ζ(s + iγk), k ∈ ℕ, of the Riemann zeta-function, where γk are imaginary parts of nontrivial zeros of ζ(s).
R. Garunkštis, A. Laurinčikas
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