Results 41 to 50 of about 786,670 (261)
On a Diophantine equation with four prime variables
AIMS MathematicsLet $ [\alpha] $ denote the integral part of the real number $ \alpha $, and let $ N $ be a sufficiently large integer. In this paper, we proved that for $ 1 < c < \frac{38}{29} $, almost all $ n\in(N, 2N] $ can be represented as $ [p_1^c]+[p_2^c]+[p_3^c]
Jing Huang, Wenguang Zhai, Deyu Zhang
doaj +1 more source
Extended Wang sum and associated products.
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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Fourier Quasicrystals with Unit Masses
Comptes Rendus. Mathématique, 2021 The sum of $\delta $-measures sitting at the points of a discrete set $\Lambda \subset \mathbb{R}$ forms a Fourier quasicrystal if and only if $\Lambda $ is the zero set of an exponential polynomial with imaginary frequencies.
Olevskii, Alexander +1 more
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FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
On Exponential Sums, Nowton identities and Dickson Polynomials over Finite Fields [PDF]
, 2010 Let $\mathbb{F}_{q}$ be a finite field, $\mathbb{F}_{q^s}$ be an extension of $\mathbb{F}_q$, let $f(x)\in \mathbb{F}_q[x]$ be a polynomial of degree $n$ with $\gcd(n,q)=1$.
Cao, Xiwang, Hu, Lei
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
On a binary Diophantine inequality involving prime numbers
AIMS MathematicsLet $ N $ denote a sufficiently large real number. In this paper, we prove that for $ 1 < c < \frac{104349}{77419} $, $ c\neq\frac{4}{3} $, for almost all real numbers $ T\in(N, 2N] $ (in the sense of Lebesgue measure), the Diophantine inequality $
Jing Huang, Qian Wang, Rui Zhang
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The Weight Distributions of a Class of Cyclic Codes with Three Nonzeros over F3
, 2013 Cyclic codes have efficient encoding and decoding algorithms. The decoding error probability and the undetected error probability are usually bounded by or given from the weight distributions of the codes.
Liu, Xiaogang, Luo, Yuan
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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
Tropical varieties for exponential sums [PDF]
Mathematische Annalen, 2019 18 pages, 3 figures. This version corrects an erroneous proof of Theorem 1.1, and a small typo in Assertion (3) of Theorem 1.5, in the published ...
Alperen A. Ergür +2 more
openaire +3 more sources