Universality of Dirichlet L-functions with shifted characters by Ramūnas Garunkštis

Subjects: “…Dirichlet L-functions…”
Get full text

On the Values of the Weighted 𝑞-Zeta and 𝐿-Functions by T. Kim, S. H. Lee, Hyeon-Ho Han, C. S. Ryoo

“…These numbers are valuable to study the weighted 𝑞-zeta and 𝐿-functions. In this paper, we study the weighted 𝑞-zeta functions and weighted 𝐿-functions from the modified 𝑞-Bernoulli numbers and polynomials with weight 𝛼.…”
Get full text

An Integral Representation of Standard Automorphic L Functions for Unitary Groups by Yujun Qin

“…We show that given an irreducible cuspidal automorphic representation π of G(A), its (partial) L function LS(s,π,σ) can be represented by a Rankin-Selberg-type integral involving cusp forms of π, Eisenstein series, and theta series.…”
Get full text

On the first power mean of L-functions with the weight of general Kloosterman sums by Zhang Wenpeng

“…The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L-functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.…”
Get full text

A weighted discrete universality theorem for L-functions of elliptic curves by Virginija Garbaliauskienė

Get full text

Asymptotic second moment of Dirichlet L-functions along a thin coset by Bradford Garcia, Matthew P. Young

“…We prove an asymptotic formula for the second moment of central values of Dirichlet L-functions restricted to a coset. More specifically, consider a coset of the subgroup of characters modulo d inside the full group of characters modulo q. …”
Get full text

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field by A. Raghuram

“…This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological interpretation of Langlands’s contant term theorem via rank-one Eisenstein cohomology for the group $\mathrm {GL}(N)/F,$ where $N = n+n'.$ The internal structure of the totally imaginary base field has a delicate effect on the Galois equivariance properties of the critical values.…”
Get full text

<i>Priestia megaterium</i> KW16: A Novel Plant Growth-Promoting and Biocontrol Agent Against <i>Rhizoctonia solani</i> in Oilseed Rape (<i>Brassica napus</i> L.)—Functional and Genomic Insights by Bożena Nowak, Daria Chlebek, Katarzyna Hupert-Kocurek

Get full text

On a sum analogous to Dedekind sum and its mean square value formula by Zhang Wenpeng

“…The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of a sum analogous to Dedekind sum, and give an interesting mean square value formula.…”
Get full text

On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums by Di Han, Wenpeng Zhang

“…The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact computational formulae for them.…”
Get full text

Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function by Keita Nakai

“…This discrete universality has been extended to various zeta-functions and L-functions. In this paper, we generalize this discrete universality for Matsumoto zeta-functions. …”
Get full text

A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums by Xiaowei Pan, Xiaoyan Guo

“…In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for it.…”
Get full text

New Mixed Exponential Sums and Their Application by Yu Zhan, Xiaoxue Li

“…As an application, we give a new asymptotic formula for the fourth power mean of Dirichlet L-functions with the weight of these mixed exponential sums.…”
Get full text

On the Spezialschar of Maass by Bernhard Heim

“…The results of this paper are directly related to the nonvanishing of certain special values of L-functions related to the Gross-Prasad conjecture. …”
Get full text

On a Kind of Dirichlet Character Sums by Rong Ma, Yulong Zhang, Guohe Zhang

“…In this paper, we study a kind of mean value of Dirichlet character sums ∑a≤p  a∈Eq,pχ(a), and use the properties of the Dirichlet L-functions and generalized Kloosterman sums to obtain an interesting estimate.…”
Get full text

Transcendence of $L(1,\chi _s)/\Pi $ in positive characteristic. A simple automata-style proof by Liu, Si-Han, Yao, Jia-Yan

“…Goss defined $L(s,\chi )$, analogs of Dirichlet $L$-functions. G. Damamme proved in 1999 the transcendence of $L(1,\chi _s)/\Pi $ via a criterion of de Mathan. …”
Get full text

Average Analytic Ranks of Elliptic Curves over Number Fields by Tristan Phillips

“…In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the Generalized Riemann Hypothesis, we show that the average analytic rank of isomorphism classes of elliptic curves over K is bounded above by $(9\deg (K)+1)/2$ , when ordered by naive height. …”
Get full text

An Investigation of GNSS Radio Occultation Data Pattern for Temperature Monitoring and Analysis over Africa by Usman Sa’i Ibrahim, Kamorudeen Aleem, Tajul Ariffin Musa, Terwase Tosin Youngu, Yusuf Yakubu Obadaki, Wan Anom Wan Aris, Kelvin Tang Kang Wee

“…The spatial analysis employed Ripley’s F-, G-, K-, and L-functions, along with calculations of nearest neighbour and Kernel density. …”
Get full text

On Diophantine Equations 2^<i>x</i> ± (2^<i>k</i><i>p</i>)^<i>y</i> = <i>z</i>² and −2^<i>x</i> + (2^<i>k</i>3)<sup><i>... by Yuan Li, Torre Lloyd, Angel Clinton

“…We obtain all the non-negative integer solutions by using elementary methods and the database of elliptic curves in “The L-functions and modular forms database” (LMFDB).…”
Get full text

Macrophage membrane coated nanoscale coordination polymers promote graft survival in allogeneic transplantation by Haili Bao, Shaohua Song, Hao Liu, Demei Sun, Xinyuan Zhu, Zhiren Fu, Youfu Wang, Jinghui Yang

“…At a high dosage, dNCPs@MM exhibited the ability to control established rejection by inducing exhaustion in both CD4+ and CD8+ T cell and preventing of alloreactive T cells from acquiring effector (CD44hiCD62L−) functions. Moreover, while high doses of DEXp or dNCPs treatment led to significant adverse effects, the administration of dNCPs@MM demonstrates tolerable adverse effects even at high dosage levels. …”
Get full text