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A Generalized Discrete Bohr–Jessen-Type Theorem for the Epstein Zeta-Function [PDF]

Mathematics, 2023
Suppose that Q is a positive defined n×n matrix, and Q[x̲]=x̲TQx̲ with x̲∈Zn. The Epstein zeta-function ζ(s;Q), s=σ+it, is defined, for σ>n2, by the series ζ(s;Q)=∑x̲∈Zn∖{0̲}(Q[x̲])−s, and it has a meromorphic continuation to the whole complex plane. Let
Antanas Laurinčikas, Renata Macaitienė
doaj   +4 more sources

A Generalized Bohr–Jessen Type Theorem for the Epstein Zeta-Function

Mathematics, 2022
Let Q be a positive defined n×n matrix and Q[x̲]=x̲TQx̲. The Epstein zeta-function ζ(s;Q), s=σ+it, is defined, for σ>n2, by the series ζ(s;Q)=∑x̲∈Zn\{0̲}(Q[x̲])−s, and is meromorphically continued on the whole complex plane.
Antanas Laurinčikas, Renata Macaitienė
doaj   +3 more sources

Mechanistic Basis of Nanobubble Functionality in Food Systems: Linking Electrokinetic Stabilization, Transport Dynamics, and Functional Outcomes. [PDF]

Compr Rev Food Sci Food Saf
ABSTRACT Recently, there has been a surge in shifting of scientific interest towards the adoption of nonthermal technologies in food processing applications. Nanobubble (NB) technology is one of the emerging green technologies that has gained increased attention over recent years.
Naqash F, Javed M, Nazir A, Maqsood S.
europepmc   +2 more sources

Exosome-Mediated Delivery of PROTACs for Targeted Protein Degradation in Cancer, Neurodegenerative, Infectious, and Inflammatory Diseases. [PDF]

J Cell Mol Med
ABSTRACT Proteolysis‐targeting chimeras (PROTACs) are heterobifunctional molecules that hijack the ubiquitin‐proteasome system to drive catalytic, sub‐stoichiometric degradation of disease‐associated proteins, offering a mechanistic advantage over occupancy‐driven inhibitors and access to ‘undruggable’ targets.
Ghosh SB, Banerjee R, Almohaimeed HM, Almars AI, ALMatrafi TA, Saleh FM, Mohammedsaleh ZM, Ealla KKR, Kumer A, Dhara B.   +9 more
europepmc   +2 more sources

Harnessing Natural Killer Cells: From Neuroimmunology to Novel Therapies for Central Nervous System Diseases. [PDF]

MedComm (2020)
This review delineates the multifaceted roles of natural killer (NK) cells in the central nervous system, spanning direct cytolysis, immunoregulation, and crosstalk with the brain microenvironment. We evaluate the translational potential and challenges of NK cell immunotherapies for a spectrum of neurological conditions.
Deng K, Chong WP.
europepmc   +2 more sources

Protein Posttranslational Modifications in Immunity: Molecular Mechanisms and Therapeutic Targets. [PDF]

MedComm (2020)
Protein posttranslational modifications, including phosphorylation, ubiquitination, SUMOylation, acetylation, methylation, glycosylation, and other new types, dynamically regulate antigen presentation and recognition, immune signal transduction, antibody production and class switching, immune contraction, immune memory establishment, as well as immune ...
Yao Y, Qian J, Liu Q, Ye W, Xing Y, Bai X, Deng R, Yang J, Lu C, Xiao C, Liu Y.   +10 more
europepmc   +2 more sources

A Joint Limit Theorem for Epstein and Hurwitz Zeta-Functions

Mathematics
In the paper, we prove a joint limit theorem in terms of the weak convergence of probability measures on C2 defined by means of the Epstein ζ(s;Q) and Hurwitz ζ(s,α) zeta-functions. The limit measure in the theorem is explicitly given.
Hany Gerges, Antanas Laurinčikas, Renata Macaitienė   +2 more
doaj   +3 more sources

Discrete Limit Bohr–Jessen Type Theorem for the Epstein Zeta-Function in Short Intervals

Axioms
We prove a probabilistic limit theorem for the Epstein zeta-function ζ(s;Q) in the interval [N,N+M] as N→∞, using discrete shifts ζ(σ+ikh;Q), where h>0 and σ>n−12 are fixed. Here, Q is a positive-definite n×n matrix, and the interval length M satisfies h−
Antanas Laurinčikas, Renata Macaitienė
doaj   +3 more sources

Unified Theory of Zeta-Functions Allied to Epstein Zeta-Functions and Associated with Maass Forms

Mathematics, 2023
In this paper, we shall establish a hierarchy of functional equations (as a G-function hierarchy) by unifying zeta-functions that satisfy the Hecke functional equation and those corresponding to Maass forms in the framework of the ramified functional ...
Nianliang Wang, Takako Kuzumaki, Shigeru Kanemitsu   +2 more
doaj   +1 more source

Scalar Particles around a Rindler–Schwarzschild Wormhole

Universe, 2022
In this paper, we study quantum relativistic features of a scalar field around the Rindler–Schwarzschild wormhole. First, we introduce this new class of spacetime, investigating some energy conditions and verifying their violation in a region nearby the ...
C. R. Muniz, H. R. Christiansen, M. S. Cunha, J. Furtado, V. B. Bezerra   +4 more
doaj   +1 more source