Results 121 to 130 of about 1,085,814 (285)
Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8
Open MathematicsIn this article, we compute binomial convolution sums of divisor functions associated with the Dirichlet character modulo 8, which is the remaining primitive Dirichlet character modulo powers of 2 yet to be considered.
Jin Seokho, Park Ho
doaj +1 more source
On a Character Sum Problem of Cohn
Journal of Number Theory, 2002 For a nontrivial multiplicative character \(f(x)\) \((x,h\in \mathbb{F}_q\), \(q=p^s)\), \(\sum f(x) \overline{f(x+h)}= q-1\) for \(h=0\) and \(-1\) otherwise. The reviewer asked the converse. Does this sum property imply that \(f(x)\) is a multiplicative character? [See \textit{H. L.
openaire +2 more sources
On Bounds for Concave Distortion Risk Measures for Sums of Risks [PDF]
In this paper we consider the problem of studying the gap between bounds of risk measures for sums of non-independent random variables. Owing to the choice of the context where to set the problem, namely that of distortion risk measures, we first deduce ...
Antonella Campana, Paola Ferretti
core
BOUND OF CHARACTER SUMS ASSOCIATED WITH BEATTY SEQUENCES
, 2020 This study is on the bound problems of Beatty sequences. Beatty sequences appear with special versatility in the arithmetic properties of sequences which is in the form of barc where a is an irrational and r is a natural number.
DERAMAN, FATANAH
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
FEBS Letters, EarlyView.The process of internalization of the Shiga toxin A subunit via formation of a complex with the Shiga toxin B subunit, which specifically binds to the Gb3 receptor. The peptide is designed to act as a carrier of drugs into cancer cells. Here, we explored the potential of peptides derived from the catalytic A subunit of Shiga toxin (STxA) to be drug ...
Giulia Opassi +6 more
wiley +1 more source
Investigating transcription factor dynamics in health and disease using FRAP
FEBS Letters, EarlyView.FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
FEBS Letters, EarlyView.The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source
On the 2k-th power mean of the quadratic character sums of the polynomials
Demonstratio MathematicaThe main aim of this paper is using the already know results on the elliptic curve over a fixed prime field and the elementary methods to study the calculating problem of one kind 2k-th power mean of the quadratic character sums of the polynomials, and ...
Zhang Wenpeng, Wang Li
doaj +1 more source
Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
wiley +1 more source