Results 21 to 30 of about 571 (219)
Vietnam Journal of MathematicsInternational audience ; In 2017 Speyer proved a rational theorem for certain sums over irreducible polynomials of the polynomial ring $A = \mathbb F_q [\theta]$. In this paper we generalize Speyer's theorem for sums over prime ideals for an arbitrary coefficient ring $A$.
Bruno Anglès +2 more
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Sums over Numbers with Restricted Prime Factors [PDF]
Turkish Journal of Analysis and Number Theory, 2017 Let be a positive integer and be the sum of the digits in basis q of the positive integer n. We prove that the quotient has a normal order one, where and are respectively, the number of distinct prime factors and the number of prime factors p of a positive integer n counted with multiplicity such that mod Moreover, we discuss sums of the form ...
Khadija Mbarki, Walid Wannes
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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On certain exponential sums over primes
Journal of Number Theory, 2009 Let \(f(x)\) be a real valued polynomial of degree \(k\geq 4\) and irrational leading coefficient \(\alpha\). Exponential sums of the form \[ S:=\sum_{p\leq N} (\log p) e(f(p)) \] have received a lot of interest. \textit{G. Harman} proved in [Mathematika 28, 249--254 (1981; Zbl 0465.10029)] that if \(q\) is the denominator of a convergent of \(\alpha\),
Maier, H., Sankaranarayanan, A.
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Exponential sums over primes in an arithmetic progression [PDF]
Proceedings of the American Mathematical Society, 1985 In 1979 A. F. Lavrik obtained some estimates for exponential sums over primes in arithmetic progressions by an analytic method. In the present paper we give an estimate for the same sums, comparable with Lavrik’s estimate, by means of elementary methods like Vaughan’s identity.
A. BALOG, PERELLI, ALBERTO
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
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 Weyl sums over primes and almost primes
Michigan Mathematical Journal, 2006 In the paper under review, new estimates are established for exponential sums over primes of the form \[ f(\alpha)=\sum\limits_{P\leq p0\) is an absolute constant, and the implied \(\ll\)-constant depends at most on \(k\) and \(\varepsilon\). The above bound for \(f(\alpha)\) is then employed to make progress on several questions related to the Waring ...
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Exponential sum estimates over prime fields [PDF]
International Journal of Number Theory, 2019 In this paper, we prove some extensions of recent results given by Shkredov and Shparlinski on multiple character sums for some general families of polynomials over prime fields. The energies of polynomials in two and three variables are our main ingredients.
Koh, Doowon +3 more
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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