Results 11 to 20 of about 3,645 (196)
On discrete mean values of Dirichlet $L$-functions [PDF]
, 2021 summary:Let $\chi $ be a nonprincipal Dirichlet character modulo a prime number $p\geqslant 3$ and let $\mathfrak a_\chi := \tfrac 12 (1-\chi (-1))$. Define the mean value $$ \mathcal {M}_{p}(-s,\chi ) :=\frac {2}{p-1} \sum \psi \pmod p \psi (-1)=-1 L ...
Elma, Ertan
core +1 more source
New effective results in the theory of the Riemann zeta-function
, 2022 Results in the present thesis are divided into four groups and are mainly effective estimates for the Riemann zeta function $\zeta(s)$ and associated functions under the assumption of the (Generalized) Riemann Hypothesis.
Simonic, Aleksander ; https://orcid.org/
core +1 more source
Universalität und Hypertranszendenz von Zetafunktionen [PDF]
, 2020 The starting point of the thesis is the {\it universality} property of the Riemann Zeta-function $\zeta(s)$ which was proved by Voronin in 1975: {\it Given a positive number $\varepsilon>0$ and an analytic non-vanishing function $f$ defined on a ...
Sourmelidis, Athanasios
core +1 more source
On large gaps between consecutive zeros, on the critical line, of some zeta-functions
, 2011 In this thesis we extend a method of Hall $[30, 34]$ which he used to show the existence of large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function $zeta(s)$.
Bredberg, Johan
core +2 more sources
On the mean value of the generalized Dirichlet $L$-functions [PDF]
, 2010 summary:Let $q\ge 3$ be an integer, let $\chi $ denote a Dirichlet character modulo $q.$ For any real number $a\ge 0$ we define the generalized Dirichlet $L$-functions $$ L(s,\chi ,a)=\sum _{n=1}^{\infty }\frac {\chi (n)}{(n+a)^s}, $$ where $s=\sigma ...
Zhang, Yulong +5 more
core +1 more source
A unified strategy to compute some special functions of number-theoretic interest
, 2023 We introduce a new algorithm to efficiently compute the functions belonging to a suitable set $scrF$ defined as follows: $fin scrF$ means that $f(s,x)$, $sin Asubset R$ being fixed and $x>0$, has a power series expansion centred at $x_0=1 ...
alessandro languasco +1 more
core +1 more source
Rapid computation of special values of Dirichlet $L$-functions [PDF]
, 2021 We consider computing the Riemann zeta function $\zeta(s)$ and Dirichlet $L$-functions $L(s,\chi)$ to $p$-bit accuracy for large $p$. Using the approximate functional equation together with asymptotically fast computation of the incomplete gamma function,
JOHANSSON, Fredrik
core
Adhesive free-standing multilayer films containing sulfated levan for biomedical applications [PDF]
, 2018 This work is the first reporting the use of layer-by-layer to produce adhesive free-standing (FS) films fully produced using natural-based macromolecules: chitosan (CHI), alginate (ALG) and sulfated levan (L-S).
TOKSOY ÖNER, EBRU
core +2 more sources
Extreme values of the Dirichlet $L$-functions at the critical points of the Riemann zeta function
, 2023 We estimate large and small values of $|L(\rho',\chi)|$, where $\chi$ is a primitive character mod $q$ for $q>2$ and $\rho'$ runs over critical points of the Riemann zeta function in the right half of the one-line, that is, the points where $\zeta'(\rho')
Chorge, Shashank
core
Rubidium In The Interstellar Medium [PDF]
, 2009 We present observations of interstellar rubidium toward o Per, zeta Per, AE Aur, HD 147889, chi Oph, zeta Oph, and 20 Aql. Theory suggests that stable (85)Rb and long-lived (87)Rb are produced predominantly by high-mass stars, through a combination of ...
Lambert, David L. +3 more
core +1 more source