Results 31 to 40 of about 24,999 (231)
Almost all primes have a multiple of small Hamming weight
, 2016 Recent results of Bourgain and Shparlinski imply that for almost all primes $p$ there is a multiple $mp$ that can be written in binary as $mp= 1+2^{m_1}+ \cdots +2^{m_k}, \quad 1\leq m_1 < \cdots < m_k,$ with $k=66$ or $k=16$, respectively. We show that $
Elsholtz, Christian
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Repairing Reed-Solomon Codes Over Prime Fields via Exponential Sums
IEEE Transactions on Information Theory, 2023 This paper presents two repair schemes for low-rate Reed-Solomon (RS) codes over prime fields that can repair any node by downloading a constant number of bits from each surviving node. The total bandwidth resulting from these schemes is greater than that incurred during trivial repair; however, this is particularly relevant in the context of leakage ...
Roni Con +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Survivors of childhood acute lymphoblastic leukemia (ALL) often exhibit early deficits in muscle and movement competence, which can compromise long‐term health. Integrative neuromuscular training (INT), a multifaceted approach combining fundamental movement activities with strength exercises, may help address these deficits during ...
Anna Maria Markarian +7 more
wiley +1 more source
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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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
wiley +1 more source
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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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
The twin prime conjecture [PDF]
, 2014 This is an exposition of recent developments in the theory of bounded differences between primes. Readers are expected to be beginners of analytic number theory.
Motohashi, Yoichi
core
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
Bounds of Multiplicative Character Sums over Shifted Primes
Proceedings of the Steklov Institute of Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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