搜索结果: 1-10 共查到“数学 Residue”相关记录10条 . 查询时间(0.046 秒)
A classical conjecture of Bouniakowsky says that a non-constant irreducible polynomial in Z[T] has in nitely many prime values unless there is a local obstruction.
Complete Residue Systems: A Primer and an Application
Complete Residue Systems A Primer and an Application Number Theory
2012/6/19
Complete residue systems play an integral role in abstract algebra and number theory, and a description is typically found in any number theory textbook. This note provides a concise overview of compl...
The variance of the number of prime polynomials in short intervals and in residue classes
variance the number of prime polynomials short intervals residue classes Number Theory
2012/4/23
We resolve a function field version of two conjectures concerning the variance of the number of primes in short intervals (Goldston and Montgomery) and in arithmetic progressions (Hooley). A crucial i...
Let $\chi$ be a non-principal Dirichlet character modulo a prime $p$. Let $q_1denote the two smallest prime non-residues of $\chi$. We give explicit upper bounds on $q_2$ that improve upon all ...
Arithmetic-arboreal residue structures induced by Prufer extensions : An axiomatic approach
Arithmetic-arboreal Prufer extensions An axiomatic approach
2010/11/9
We present an axiomatic framework for the residue structures induced by Prufer extensions with a stress upon the intimate connection between their arithmetic and arboreal theoretic properties. The ma...
Residue classes containing an unexpected number of primes
Residue classes unexpected number of primes
2010/12/6
We fix a non-zero integer a and consider arithmetic progressions a mod q, with q varying over a given range. We show that for certain specific values of a, the arithmetic progressions a mod q contain,...
Mean value on the difference between a quadratic residue and its inverse modulo p
An integer and its inverse Bernoulli numbers Cochrane sums
2007/12/11
The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet $L$-functions to study the asymptotic property of the difference between...
Differential Forms and the Noncommutative Residue for Manifolds with Boundary II non-product metric case(to appear in Lett. Math. Phys.)(amend on 2-23-2006)
Noncommutative residue for manifolds with boundary non-product metric conformal invariant
2018/4/20
In this paper, for an even dimensional compact manifold with boundary which has the non-product metric near the boundary, we use the noncommutative residue to deˉne a conformal invariant pair. For a 4...
GRAVITY AND THE WODZICKI RESIDUE FOR MANIFOLDS WITH BOUNDARY (amend on 2-23-2006)
Noncommutative residue for manifolds with boundary gravitational action for manifolds with boundary
2018/4/20
We prove a Kastler-Kalau-Walze type theorem for the Dirac operator and the signature operator for manifolds with boundary. As a corollary, for the boundary
°at case, we give two kinds of operator the...
In this paper, the residue method of separation of variables is applied to a mixed problem which includes the flow of a stratified compresslble fluid and inner gravitational waves of a stratified inco...