Results 41 to 50 of about 13,182 (153)
Wild conductor exponents of curves
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
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Estimating the $p$-adic valuation of the resultant
, 2021 Let $f$ and $g$ be two monic polynomials with integer coefficients and nonzero resultant $r$. Assume that $v_p(f(n))\ge s_1$ and $v_p(g(n))\ge s_2$ hold for all integers $n$ for some $s_1, s_2$ fixed non-negative integers. Let $S$ denote the maximum of $v_p(gcd(f(n),g(n)))$ over all integers $n$.
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Comptes Rendus. MathématiqueWe prove some triviality results for reduced Whitehead groups and reduced unitary Whitehead groups for division algebras over a Henselian discrete valuation field whose residue field has virtual cohomological dimension or separable dimension $\le 2 ...
Hu, Yong, Tian, Yisheng
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Measuring birational derived splinters
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn +3 more
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On $p$-adic valuations of Stirling numbers
Acta Arithmetica, 2018 The Stirling number of the second kind (or Stirling partition number) which are denoted by \(S(n,k)\) have many applications in mathematics, and particularly in combinatorics. \(S(n,k)\) is the number of ways to partition a set of $n$ objects into \(k\) non-empty ones.
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On the $p$-adic valuation of a hyperfactorial
, 2021 In this document will be proved a formula to compute the $p$-adic valuation of a hyperfactorial. We call a hyperfactorial the result of multiplying a given number of consecutive integers from 1 to the given number,each raised to its own power. For example, the hyperfactorial of $n$ is equal to: $1^1 2^2 3^3\dots n^n$ .
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A note on p-adic valuations of Schenker sums [PDF]
Colloquium Mathematicum, 2015 A prime number p is called a Schenker prime if there exists such n ∈ N+ that p n and p | an, where an = ∑n j=0 n! j! n j is a socalled Schenker sum. T. Amdeberhan, D. Callan and V. Moll formulated two conjectures concerning p-adic valuations of an in case when p is a Schenker prime.
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p-Adic valuations associated to fibers and images of polynomial functions
Finite Fields and Their Applications, 2022 Chevalley-Warning theorem deals with certain polynomial equations in many variables over finite fields that have solutions. This article can be considered as an extension of the article by \textit{P. L. Clark} et al. [Expo. Math. 39, No. 4, 604--623 (2021; Zbl 1486.11146)] using Teichmüller character and \(p\)-adic valuation of multiplicative character
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Clinical and Experimental Dental Research, Volume 12, Issue 2, April 2026.ABSTRACT Objectives In vitro models provide valuable insights into treatment options and their effectiveness prior to and alongside clinical evaluation. Such models should be standardized, reproducible, and closely reflect the clinical situation. This study aimed to investigate the removal of subgingival biofilm and calculus by instrumentation, which ...
Gert Jungbauer +6 more
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Recovering p$p$‐adic valuations from pro‐p$p$ Galois groups
Journal of the London Mathematical SocietyAbstractLet be a field with , where denotes the maximal pro‐2 quotient of the absolute Galois group of a field . We prove that then admits a (non‐trivial) valuation which is 2‐henselian and has residue field . Furthermore, is a minimal positive element in the value group and .
Koenigsmann, J, Strommen, K
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