Topic
Divisor
About: Divisor is a research topic. Over the lifetime, 2462 publications have been published within this topic receiving 21394 citations. The topic is also known as: factor & submultiple.
Papers published on a yearly basis
Papers
More filters
Posted Content•
TL;DR: For a non-singular real algebraic projective curve, topological restrictions on a closed motion of a simple real divisor in its linear equivalence class were found in this article.
Abstract: For a non-singular real algebraic projective curve, topological restrictions on a closed motion of a simple real divisor in its linear equivalence class are found.
23 Apr 2021
TL;DR: In this paper, the authors investigated the properties and the factoring method of a kind of odd integers whose divisors are like those of the Fermat numbers and showed that factorization of an odd integer can be done by means of a random walk on a valuated binary tree.
Abstract: The paper investigates the properties and the factoring method of a kind of odd integers whose divisors are like those of the Fermat numbers. By means of the valuated binary tree, an odd integer N is turned to be a node of a tree whose root is helpful and easy to find out the small divisor of N. The paper finds out an approach to realize such a tree-factoring idea. Theoretic analyses for the approach are proved with strict mathematical reasonings, a deterministic framework as well as a random-walk framework is proposed to perform the factorization and numerical experiments are made to factorize some Fermat numbers. Experiments show that the random-walk method is in general faster than what were known in the past, which reveals that factorization of an odd integer can be done by means of a random walk on a valuated binary tree.
TL;DR: In this article, the authors investigated completion and zero prime factorization of matrices over elementary divisor rings (EDR) and solved the Serre problem and Lin-Bose problem.
Abstract: Matrix factorization has been widely investigated in the past years due to its fundamental importance in several areas of engineering. This paper investigates completion and zero prime factorization of matrices over elementary divisor rings (EDR). The Serre problem and Lin-Bose problems are generalized to EDR and are completely solved.
TL;DR: In this article, an efficient endomorphism for the Jacobian of a curve C of genus 2 for divisors having a non-disjoint support was presented, which extends the work of Costello and Lauter in [12].
Abstract: We present an efficient endomorphism for the Jacobian of a curve C of genus 2 for divisors having a Non disjoint support. This extends the work of Costello and Lauter in [12] who calculated explicit formulae for divisor doubling and addition of divisors with disjoint support in JF(C) using only base field operations. Explicit formulae is presented for this third case and a different approach for divisor doubling.
TL;DR: In this paper, the authors derived an analogous integral formula in the standard weighted Bergman space for general α and showed that each inner function acts as a contractive divisor on the invariant subspace which it generates.
Abstract: In order to establish that extremal functions in the Bergman space A p act as both expansive multipliers and contractive divisors, Duren, Khavinson, Shapiro and Sundberg made use of an integral formula involving the biharmonic Green function. Using a weighted biharmonic Green function, we derive an analogous integral formula in the standard weighted Bergman space \(A_{\alpha}^{p}\ {\rm when}\ \alpha =1\), and we also discuss how the formula can be established for general α. Moreover, we show that each \(A_{\alpha}^{p}\) inner function acts as a contractive divisor on the invariant subspace which it generates.