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

Subjects: “…Dirichlet L-functions…”
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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.…”
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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.…”
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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.…”
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A weighted discrete universality theorem for L-functions of elliptic curves by Virginija Garbaliauskienė

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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. …”
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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.…”
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<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

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Generalized Fractional Integral Operators Involving Mittag-Leffler Function by Hafte Amsalu, D. L. Suthar

“…The aim of this paper is to study various properties of Mittag-Leffler (M-L) function. Here we establish two theorems which give the image of this M-L function under the generalized fractional integral operators involving Fox’s H-function as kernel. …”
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The conformal primon gas at the end of time by Sean A. Hartnoll, Ming Yang

“…Each such state defines an odd automorphic L-function. In particular, in a basis of dilatation eigenstates the wavefunction is proportional to the L-function along the critical axis and hence vanishes at the nontrivial zeros. …”
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Bicomplex <i>k</i>-Mittag-Leffler Functions with Two Parameters: Theory and Applications to Fractional Kinetic Equations by Ahmed Bakhet, Shahid Hussain, Mohra Zayed, Mohamed Fathi

“…In this paper, we aim to extend the bicomplex two-parameter Mittag-Leffler (M-L) function by introducing a new <i>k</i>-parameter. …”
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Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications by Hacer Ozden, Ismail Naci Cangul, Yilmaz Simsek

“…We give relation between Barnes-type Hurwitz q-Euler zeta function and multivariate q-Euler l-function. Moreover, complete sums of products of these numbers and polynomials are found. …”
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Modular Calabi-Yau fourfolds and connections to M-theory fluxes by Hans Jockers, Sören Kotlewski, Pyry Kuusela

“…For those fluxes associated to modular forms, we express their couplings in the low-energy effective action in terms of L-function values.…”
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Computational Representation of Fractional Inequalities Through 2D and 3D Graphs with Applications by Muhammad Younis, Ahsan Mehmood, Muhammad Samraiz, Gauhar Rahman, Salma Haque, Ahmad Aloqaily, Nabil Mlaiki

“…The aim of this research article is to use the extended fractional operators involving the multivariate Mittag–Leffler (M-M-L) function, we provide the generalization of the Hermite–Hadamard–Fejer (H-H-F) inequalities. …”
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Fuzzy Meir-Keeler’s Contraction and Characterization by Kianoush Fathi Vajargah, Hamid Mottaghi Golshan

“…Then, we characterize fuzzy Meir-Keeler’s contractions as contractive types induced by functions called fuzzy L-function. Moreover, we show that the converse of it is true. …”
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The vanishing of anticyclotomic $\mu $-invariants for non-ordinary modular forms by Hatley, Jeffrey, Lei, Antonio

“…We study signed Selmer groups for non-ordinary modular forms over the anticyclotomic $\mathbb{Z}_p$-extension of $K$, showing that one inclusion of an Iwasawa main conjecture involving the $p$-adic $L$-function of Bertolini–Darmon–Prasanna implies that their $\mu $-invariants vanish. …”
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Classical weight-four L-value ratios as sums of Calabi-Yau invariants by Philip Candelas, Xenia de la Ossa, Joseph McGovern

“…One has already been studied by Hosono and Takagi, and we discuss issues stemming from the associated L-function having nonzero rank.…”
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Dynamical behavior of tempered φ-Caputo type fractional order stochastic differential equations driven by Lévy noise by M. Latha Maheswari, Karthik Muthusamy

“…Also, We use Mittag-Leffler (M-L) function to investigate the stability of the solution. …”
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A Big Data Approach for the Regional-Scale Spatial Pattern Analysis of Amazonian Palm Locations by Matthew J. Drouillard, Anthony R. Cummings

“…The results of the HDBSCAN assessment were cross-validated with several point pattern analysis methods commonly used by ecologists (the quadrat test for complete spatial randomness, Morista Index, Ripley’s L-function, and the pair correlation function). A spatial logistic regression model was generated to understand the multivariate environmental influences driving the placement of cluster and outlier palms. …”
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Genetic Basis and Simulated Breeding Strategies for Enhancing Soybean Seed Protein Content Across Multiple Environments by Xu Sun, Bo Hu, Wen-Xia Li, Hai-Long Ning

“…Finally, simulated breeding was conducted using the B4L function in the In Silico Breeding (ISB) module of the Blib platform to determine optimal breeding strategies across diverse environments. …”
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