Results 31 to 40 of about 29,410 (152)

Upper bounds for moments of Dirichlet L$L$‐functions to a fixed modulus

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract We study the 2kth$2k{\rm th}$ moment of central values of the family of Dirichlet L$L$‐functions to a fixed prime modulus and establish sharp upper bounds for all real k∈[0,2]$k \in [0,2]$.
Peng Gao, Liangyi Zhao
wiley   +1 more source

Counting primes with a given primitive root, uniformly

open access: yesMathematika, 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

open access: yesProceedings 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

Implications of Lee-Yang Theorem In Quantum Gravity

open access: yes, 2019
The contributions of this note are twofold: First, it gives a generic recipe to apply Lee-Yang Theorem to solutions of Einstein field equations. Secondly, this existence of the applicability of Lee-Yang Theorem on a partition function of spacetime ...
Chuang, William Huanshan
core  

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