Results 51 to 60 of about 22,946 (264)

YIPFα1A expression is regulated by multilayered molecular mechanisms

FEBS Open Bio, EarlyView.
YIPFα1A, a five‐pass Golgi protein, is regulated at multiple layers. (1) Rare‐codon enrichment drives translation‐coupled mRNA decay. (2) A proximal 3′‐UTR element stabilizes mRNA. (3) A distal 3′‐UTR element included by alternate poly(A) site usage represses translation, which can be overridden by the proximal 3′‐UTR element.
Tokio Takaji, Yurika Nakanishi, Nobuhiro Nakamura   +2 more
wiley   +1 more source

ℓ-generalized prime factors counting functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
To study the number of extra prime factors beyond the first ℓ − 1 occurrences of a prime p in the factorization of an integer n, this paper introduces the ℓ-generalized prime factors counting arithmetic function ΩA,ℓ.
Gaber Ahmed
doaj   +1 more source

Completely multiplicative functions arising from simple operations

International Journal of Mathematics and Mathematical Sciences, 2004
Given two multiplicative arithmetic functions, various conditions for their convolution, powers, and logarithms to be completely multiplicative, based on values at the primes, are derived together with their applications.
Vichian Laohakosol, Nittiya Pabhapote
doaj   +1 more source

Multiplicative functionals and entire functions, II [PDF]

Studia Mathematica, 1997
[Part I, cf. Stud. Math. 119, No. 3, 289-297 (1996; Zbl 0868.46037).] The following result is proved in this very interesting paper: Let \(A\) be a complex Banach algebra with a unit \(e\), let \(F\) be a nonconstant entire function, and let \(T\) be a linear functional with \(T(e) = 1\) and such that \(T\circ F\) defined from \(A\) to the complex ...
openaire   +1 more source

Refinement of amino‐acid conformation vs. difference density maps in time‐resolved serial femtosecond crystallography data analysis

FEBS Open Bio, EarlyView.
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong, Yuhei Hosokawa, Lars Oliver Essen, Manuel Maestre‐Reyna   +3 more
wiley   +1 more source

Sign changes of the partial sums of a random multiplicative function II

Comptes Rendus. Mathématique
We study two models of random multiplicative functions: Rademacher random multiplicative functions supported on the squarefree integers $f$, and Rademacher random completely multiplicative functions $f^*$. We prove that the partial sums $\sum _{n\le x}f^*
Aymone, Marco
doaj   +1 more source

Multiple Gamma functions and $L$-functions [PDF]

Mathematical Research Letters, 1996
Multiple gamma functions, first introduced and studied by E. W. Barnes and others around 1900, play an important role in the study of functional equations for Selberg zeta functions and other topics in modern analytic number theory. This paper makes a case for defining a multiple gamma function as a meromorphic function \(\Gamma_P(u)\) associated with ...
openaire   +1 more source

Transcripts enriched in codons that trigger P‐site tRNA‐mediated mRNA decay possess stable mRNA

FEBS Open Bio, EarlyView.
PTMD codons were first described by Mendel et al. as mediators of an mRNA decay pathway dependent on the human protein CNOT3, homologous to yeast Not5. Our findings confirm that PTMD codons destabilize transcripts; however, unlike in yeast, the human pathway specifically targets and slightly destabilizes primarily stable mRNAs.
Rodolfo Lopes Carneiro, Fernando Lucas Palhano   +1 more
wiley   +1 more source

Singularities of multiplicative spherical Darboux image and multiplicative rectifying developable surface

Demonstratio Mathematica
In this study, singularity theory is used to explore the geometrical and topological properties of three types of curves and surfaces in multiplicative Euclidean space.
Li Jiaxin, Yao Xinyu, Ma Zikun, Liu Haiming   +3 more
doaj   +1 more source

Partition regularity of Pythagorean pairs

Forum of Mathematics, Pi
We address a core partition regularity problem in Ramsey theory by proving that every finite coloring of the positive integers contains monochromatic Pythagorean pairs (i.e., $x,y\in {\mathbb N}$ such that $x^2\pm y^2=z^2$ for some $z ...
Nikos Frantzikinakis, Oleksiy Klurman, Joel Moreira   +2 more
doaj   +1 more source