Results 111 to 120 of about 41,624 (236)
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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Sums of divisors on arithmetic progressions
Periodica Mathematica Hungarica, 2023 For each $s\in \mathbb R$ and $n\in \mathbb N$, let $ _s(n) = \sum_{d\mid n}d^s$. In this article, we give a comparison between $ _s(an+b)$ and $ _s(cn+d)$ where $a$, $b$, $c$, $d$, $s$ are fixed, the vectors $(a,b)$ and $(c,d)$ are linearly independent over $\mathbb Q$, and $n$ runs over all positive integers. For example, if $|s|\leq 1$, $a, b, c,
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On the ratio of the sum of divisors and Euler’s totient function II [PDF]
, 2014 We find the form of all solutions to ø(n) | σ(n) with three or fewer prime factors, except when the quotient is 4 and n is ...
Broughan, Kevin A., Zhou, Qizhi
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Polymatroidal tilings and the Chow class of linked projective spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
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Small divisors of Bernoulli sums
Indagationes Mathematicae, 2007 Let \(\varepsilon = (\varepsilon_{i})\) be a sequence of Bernoulli random variables such that \[ \text{prob}(\varepsilon_{i}= 0)= \text{prob}(\varepsilon_{i}=1)= \tfrac{1}{2} \] and let \(\mathbb P^{-}_{n}\) denote the smallest divisor of the partial sum \(\varepsilon_{1}+ \cdots + \varepsilon_{n}.\) The main result of the present paper is the estimate
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Recursive Determination of the Sum-of-Divisors Function [PDF]
Proceedings of the American Mathematical Society, 1979 A recursive scheme for determination of the sum-of-divisors function is presented. As all of the formulas involve triangular numbers, the scheme is therefore compared for efficiency with another known recursive triangular-number formula for this function.
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CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM
Forum of Mathematics, Sigma, 2014 Let $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit ...
YANG AN +3 more
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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
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Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
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On Additive Divisor Sums and minorants of divisor functions
, 2019 28 ...
Smith, Kevin, Andrade, Julio
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