Results 61 to 70 of about 25,597,246 (186)
Cleaning Efficacy of Air Polishing on Tobacco‐Stained Resin Composite: An In‐Vitro Study
Clinical and Experimental Dental Research, Volume 12, Issue 4, August 2026.ABSTRACT Objective To evaluate the efficacy of air‐polishing on color change and surface roughness of resin composite and enamel specimens after standardized cigarette smoke exposure. Methods Sixty composite/enamel specimens were exposed daily to cigarette smoke in an automated chamber over four 14‐day cycles (five cigarettes/day).
Lukas Sigwart +2 more
wiley +1 more source
On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley +1 more source
p-adic Valuation of Exponential Sums in One Variable Associated to Binomials
, 2017 In this paper we compute the p-adic valuation of exponential sums associated to binomials F(X) = aXd₁ + bXd₂ over Fp. In particular, its p-adic valuation is constant for a, b ∈ F∗p . As a byproduct of our results, we obtain a lower bound for the sizes of
Francis N. Castro +2 more
core +1 more source
The asymptotic Mahler measure of Gaussian periods
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
wiley +1 more source
Some new results on the p-adic valuations of Stirling numbers of the second kind
四川大学学报. 自然科学版, 2020 In this paper, we consider the p-adic valuations of some special Stirling numbers of the second kind.
Zhao Wei, Qiu Min
doaj
Manin's conjecture for integral points on toric varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant that is similar to Peyre's interpretation of the leading constant in Manin's conjecture ...
Tim Santens
wiley +1 more source
On ergodicity of p-adic dynamical systems for arbitrary prime p
, 2013 In this paper, we obtain necessary and sufficient conditions for ergodicity (with respect to the normalized Haar measure) of 1-Lipschitz p-adic functions that are defined on (and valuated in) the space ℤ p of p-adic integers for any prime p.
Yurova, Ekaterina,
core +1 more source
Finiteness and Explicit Solutions of 2x+pnqy=z2 for Certain Odd Primes
Journal of MathematicsWe investigate all nonnegative integer solutions x,y,z of the exponential Diophantine equation 2x+pnqy=z2, where p and q are fixed odd primes, and n is a fixed positive integer. Using 2-adic valuation techniques and known results on exponential equations,
Saeree Wananiyakul +4 more
doaj +1 more source
pH‐mediated activation of the lysosomal arginine sensor SLC38A9
FEBS Letters, Volume 600, Issue 13, Page 1859-1871, July 2026.Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
wiley +1 more source
p-adic valuations of some sums of multinomial coefficients [PDF]
Acta Arithmetica, 2011 Let $m$ and $n>0$ be integers. Suppose that $p$ is a prime dividing $m-4$ but not dividing $m$. We show that $ν_p(\sum_{k=0}^{n-1}\frac{\binom{2k}k}{m^k})$ and $ν_p(\sum_{k=0}^{n-1}\binom{n-1}{k}(-1)^k\frac{\binom{2k}k}{m^k})$ are at least $ν_p(n)$, where $ν_p(x)$ denotes the $p$-adic valuation of $x$. Furthermore, if $p>3$ then $$n^{-1}\sum_{k=0}
openaire +2 more sources