Results 61 to 70 of about 27,853 (183)
Abstract Under the generalized Riemann hypothesis, we use Beurling–Selberg extremal functions to bound the mean and mean square of the argument of Dirichlet L$L$‐functions for a large prime modulus q$q$. As applications, we give alternative proofs of several results on low‐lying zeros of L(s,χ)$L(s,\chi)$ and obtain a new lower bound on the proportion ...
Tianyu Zhao
wiley +1 more source
Joint universality of some zeta-functions. I
In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė +1 more
doaj +1 more source
Wild conductor exponents of curves
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley +1 more source
Global mapping properties of the Riemann Zeta function are used to investigate its non trivial zeros.
openaire +2 more sources
The Prouhet‐Thue‐Morse (PTM) sequence emerges as a unifying thread across quantum error correction, noise‐resistant memories, spin‐chain dynamics, quantum chaos, and Dirichlet links to the Riemann zeta function. Mapping PTM‐encoded logical states onto qubit and qudit architectures uncovers symmetry‐protected resilience and multifractal signatures ...
Denis Janković +3 more
wiley +1 more source
We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo +3 more
wiley +1 more source
El propósito de este trabajo de grado es dar una breve introducción a la función Zeta de Riemann, explorando sus principales propiedades como lo son su continuación analítica, fórmula de reflexión y estudiar los ceros de dicha función. ; The purpose of this thesis is to give a brief introduction to the Riemann Zeta function, explaining the most ...
openaire +3 more sources
On the mean square of the periodic zeta-function. II
In the paper, the error term in the Atkinson type formula for the periodic zeta-function in the critical strip is considered, and an asymptotic formula for its mean square is obtained. This formula generalizes that proved for the Riemann zeta-function.
Sondra Černigova, Antanas Laurinčikas
doaj +1 more source
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
wiley +1 more source
A kind of identities related to Riemann zeta-function
The main purpose of this paper is to study a kind of identities related to Riemann zeta-function. We first construct a new sequence involving trigonometric function.
Chen Zhuoyu, Deng Changlin
doaj +1 more source

