Results 161 to 170 of about 1,611,376 (286)
Euler–Riemann–Dirichlet Lattices: Applications of η(s) Function in Physics
MathematicsWe discuss applications of the Dirichlet η(s) function in physics. To this end, we provide an introductory description of one-dimensional (1D) ionic crystals, which are well-known in the condensed matter physics literature, to illustrate the central ...
Hector Eduardo Roman
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On Recent Strategies Proposed for Proving the Riemann Hypothesis [PDF]
, 2003 E. Elizalde +2 more
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The Future of Non‐Invasive Brain Stimulation in Sleep Medicine
Journal of Sleep Research, Volume 34, Issue 5, October 2025.ABSTRACT Non‐invasive brain stimulation (NIBS) methods carry particular appeal as non‐pharmacological approaches to inducing or improving sleep. However, intense research efforts to use transcranial magnetic stimulation (TMS) and electrical stimulation (tES) for sleep modulation have not yet delivered evidence‐based NIBS treatments in sleep medicine ...
Lukas B. Krone +3 more
wiley +1 more source
Möbius convolutions and the Riemann hypothesis
International Journal of Mathematics and Mathematical Sciences, 2005 Luis Báez-Duarte
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Dreaming of Better Treatments: Advances in Drug Development for Sleep Medicine and Chronotherapy
Journal of Sleep Research, Volume 34, Issue 5, October 2025.ABSTRACT Throughout history, the development of new sleep medicines has been driven by progress in our understanding of the mechanisms underlying sleep. Ancient civilisations used their understanding of the sedative nature of natural herbs and compounds to induce sleep.
Brooke A. Prakash +5 more
wiley +1 more source
Jensen polynomials are not a plausible route to proving the Riemann Hypothesis [PDF]
Advances in Mathematics, 2020 D. Farmer
semanticscholar +1 more source
From the 1-2-3 conjecture to the Riemann hypothesis [PDF]
European journal of combinatorics (Print), 2020 J. Grytczuk
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Note for the Riemann Hypothesis
Let $\Psi(n) = n \cdot \prod_{q \mid n} \left(1 + \frac{1}{q} \right)$ denote the Dedekind $\Psi$ function where $q \mid n$ means the prime $q$ divides $n$. Define, for $n \geq 3$; the ratio $R(n) = \frac{\Psi(n)}{n \cdot \log \log n}$ where $\log$ is the natural logarithm. Let $N_{n} = 2 \cdot \ldots \cdot q_{n}$ be the primorial of order $n$.
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