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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.
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 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...