Results 41 to 50 of about 25,324 (178)
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
wiley +1 more source
On the $2$-adic valuation of $σ_k(n)$
For a positive integer $k$, let \[ σ_k(n)=\sum_{d\mid n} d^k \] be the divisor function of order $k$, and let $ν_p(m)$ denote the $p$-adic valuation of an integer $m$. Motivated by recent work on the $p$-adic valuation of $σ_k(n)$, we study $ν_2(σ_k(n))$ in detail.
Cheng, Kaimin, Zhang, Ke
openaire +2 more sources
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
wiley +1 more source
2-adic Valuations of Quadratic Sequences
, 2021 We determine properties of the 2-adic valuation sequences for general quadratic polynomials with integer coefficients directly from the coefficients. These properties include boundedness or unboundedness, periodicity, and valuations at terminating nodes.
Kozhushkina, Olena +3 more
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A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral
Integers, 2010 AbstractWe analyze properties of the 2-adic valuation of an integer sequence that originates from an explicit evaluation of a quartic integral. We present a tree that encodes this valuation.
Xinyu Sun, Victor H. Moll
openaire +4 more sources
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
Clinical and Experimental Dental Research, Volume 12, Issue 2, April 2026.ABSTRACT Objectives In vitro models provide valuable insights into treatment options and their effectiveness prior to and alongside clinical evaluation. Such models should be standardized, reproducible, and closely reflect the clinical situation. This study aimed to investigate the removal of subgingival biofilm and calculus by instrumentation, which ...
Gert Jungbauer +6 more
wiley +1 more source
A classification of Prüfer domains of integer‐valued polynomials on algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley +1 more source
A P‐adic class formula for Anderson t‐modules
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley +1 more source
The $p$-Adic Valuation Trees for Quadratic Polynomials for Odd Primes
, 2023 We examine the behavior of the sequences of $p$-adic valuations of quadratic polynomials with integer coefficients for an odd prime $p$ through tree representations.
Snyder, Rachel +5 more
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