搜索结果: 1-15 共查到“理学 the integers”相关记录15条 . 查询时间(0.109 秒)
商洛学院数学与计算机应用学院初等数论课件Chapter 2 The Ring of Integers Modulon
商洛学院数学与计算机应用学院 初等数论 课件 Chapter 2 The Ring of Integers Modulon
2017/4/7
商洛学院数学与计算机应用学院初等数论课件Chapter 2 The Ring of Integers Modulon.
SCALING LIMITS OF RECURRENT EXCITED RANDOM WALKS ON INTEGERS
Limit random walk RECURRENT EXCITED
2015/9/29
We describe scaling limits of recurrent excited random walks (ERWs) on
Z in i.i.d. cookie environments with a bounded number of cookies per site. We allow
both positive and negative excitations.
Fermat numbers and integers of the form a k + a l + p
Fermat numbers generalized Fermat numbers Erdos problems Zsigmondy’s theorem covering systems
2015/8/25
In 1849, A. de Polignac [20] conjectured that every odd number larger than 3 can be written as the sum of an odd prime and a power of 2. He found a counterexample 959 soon. In 1934, N. P. Ro- manoff [...
Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers
Lehmer's conjecture Hermitian matrices Eisenstein and Gaussian integers Number Theory
2012/6/29
We solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahler measure at least ...
A universal first order formula defining the ring of integers in a number field
universal first order formula defining ring integers number field
2012/3/1
We show that the complement of the ring of integers in a number field K is Diophantine. This means the set of ring of integers in K can be written as {t in K | for all x_1, ..., x_N in K, f(t,x_1, ......
The Size of the Largest Part of Random Weighted Partitions of Large Integers
Random Weighted Partitions Large Integers Probability
2011/9/20
Abstract: For a given sequence of weights (non-negative numbers), we consider partitions of the positive integer n. Each n-partition is selected uniformly at random from the set of all such partitions...
Robin inequality for $7-$free integers
Dedekind function Robin inequality Riemann Hypothesis Primorial numbers
2011/1/17
Recall that an integer is t−free iff it is not divisible by pt for some prime p. We give a method to check Robin inequality (n) < e n log log n, for t−free integers n and apply it for t =...
On the structure of ($-\beta$)-integers
structure math
2010/11/12
The $(-\beta)$-integers are natural generalisations of the $\beta$-integers, and thus of the integers, for negative real bases. When $\beta$ is a $(-\beta)$-number, which is the analogue of a Parry nu...
On cohomology of Witt vectors of algebraic integers and a conjecture of Hesselholt
Witt vectors algebraic integers conjecture of Hesselholt
2010/11/19
Let $K$ be a complete discrete valued field of characteristic zero with residue field $k_K$ of characteristic $p > 0$. Let $L/K$ be a finite Galois extension with the Galois group $G$ and suppose tha...
Cyclotomic Matrices and Graphs over the ring of integers of some imaginary quadratic fields
Cyclotomic Matrices Graphs imaginary quadratic fields
2010/11/18
We determine all Hermitian $\mathcal{O}_{\Q(\sqrt{d})}$-matrices for which every eigenvalue is in the interval [-2,2], for each d in {-2,-7,-11,-15\}. To do so, we generalise charged signed graphs to...
We prove a Marstrand type theorem for a class of subsets of the integers. More specifically, after defining the counting dimension D(E) of subsets of Z and the concepts of regularity and compatibilit...
The Prouhet-Tarry-Escott problem for Gaussian integers
The Prouhet-Tarry-Escott problem Gaussian integers
2010/11/11
Given natural numbers $n$ and $k$, with $n>k$, the Prouhet-Tarry-Escott (PTE) problem asks for distinct subsets of $\Z$, say $X=\{x_1,...,x_n\}$ and $Y=\{y_1,...,y_n\}$, such that \[x_1^i+...+x_n^i=y...
Some locally self-interacting walks on the integers
Some locally self-interacting the integers
2010/11/11
We study certain self-interacting walks on the set of integers, that choose to jump to the right or to the left randomly but influenced by the number of times they have previously jumped along the ed...
We give an affirmative answer to the following question by Jarden and Narkiewicz: Is it true that every number field has a finite extension L such that the ring of integers of L is generated by its un...
Integers: Irreducible Guides in the Search for a Unified Theory
Irreducible Guides a Unified Theory
2010/10/14
The notion of final theory results from a contrasting understanding of physical reality. Currently, different approaches aim to unify the four forces of nature and discuss whether a final theory may b...