Results 31 to 40 of about 29,410 (152)
Upper bounds for moments of Dirichlet L$L$‐functions to a fixed modulus
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
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
Extreme values of derivatives of the Riemann zeta function. [PDF]
Yang D.
europepmc +1 more source
Crossing estimates for the Ising model on general s‐embeddings
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
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
On closure problems and the zeros of the Riemann zeta function [PDF]
Norman Levinson
openalex +1 more source
Separation of zeros of the Riemann zeta-function [PDF]
Robert S. Lehman
openalex +1 more source

