Results 51 to 60 of about 19,927 (139)

Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator [PDF]

, 2013
A spectral reformulation of the Riemann hypothesis was obtained in [LaMa2] by the second author and H. Maier in terms of an inverse spectral problem for fractal strings.
Herichi, Hafedh, Lapidus, Michel L.
core  

Counting primes with a given primitive root, uniformly

Mathematika, Volume 71, Issue 4, October 2025.
Abstract The celebrated Artin conjecture on primitive roots asserts that given any integer g$g$ that is neither −1$-1$ nor a perfect square, there is an explicit constant A(g)>0$A(g)>0$ such that the number Π(x;g)$\Pi (x;g)$ of primes p⩽x$p\leqslant x$ for which g$g$ is a primitive root is asymptotically A(g)π(x)$A(g)\pi (x)$ as x→∞$x\rightarrow \infty$
Kai (Steve) Fan, Paul Pollack
wiley   +1 more source

Crossing estimates for the Ising model on general s‐embeddings

Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.
Abstract We prove Russo–Seymour–Welsh‐type crossing estimates for the FK–Ising model on general s‐embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than 1, provided it satisfies a mild non‐degeneracy assumption. This result extends the work of Chelkak and provides a general framework to prove that the usual connection ...
Rémy Mahfouf
wiley   +1 more source

Spectral spacing correlations for chaotic and disordered systems

, 2000
New aspects of spectral fluctuations of (quantum) chaotic and diffusive systems are considered, namely autocorrelations of the spacing between consecutive levels or spacing autocovariances.
Bohigas, O., Leboeuf, P., Sanchez, M. -J.   +2 more
core   +1 more source

Raising Series to A Power

Indian Journal of Science and Technology
Objective. Let be a formal power series and let . In this note, we consider the function . We find that if has a series expansion at , then its coefficients are polynomials in .
S. Sriram, A. D. Christopher
semanticscholar   +1 more source

Characteristic polynomials, spectral-based Riemann-Zeta functions and entropy indices of n-dimensional hypercubes. [PDF]

J Math Chem, 2023
Balasubramanian K.
europepmc   +1 more source

Evanescent wave in multiple slit diffraction and n-array antennas in metamaterial using Cesàro convergence. [PDF]

Sci Rep, 2023
Nellambakam Y, Haritha K, Shiv Chaitanya KVS.   +2 more
europepmc   +1 more source

Riemann hypothesis

, 2019
This work is dedicated to the promotion of the results Hadamard, Landau E., Walvis A., Estarmann T and Paul R. Chernoff for pseudo zeta functions.
Durmagambetov, A.
core  

The UV prolate spectrum matches the zeros of zeta. [PDF]

Proc Natl Acad Sci U S A, 2022
Connes A, Moscovici H.
europepmc   +1 more source

Extreme values of derivatives of the Riemann zeta function. [PDF]

Mathematika, 2022
Yang D.
europepmc   +1 more source