Results 251 to 260 of about 165,977,654 (290)

A pipeline for megahertz X-ray photon correlation spectroscopy on soft matter samples at the MID instrument of European XFEL. [PDF]

open access: yesJ Synchrotron Radiat
Leonau A   +30 more
europepmc   +1 more source

Factor Rings of Integers

American Mathematical Monthly, 1989
exaly   +2 more sources

On cohomology rings of a cyclic group and a ring of integers

SUT Journal of Mathematics, 2002
Let \(p\) be a prime number, \(G\) be the cyclic group of order \(p^\nu\), \(\nu\) a positive integer \(\geq 1\), and \(\Gamma\) be the ring of integers of the cyclotomic field \(\mathbb{Q}(\zeta)\) for a primitive \(p^\nu\)-th root of unity \(\zeta\).
Hayami, Takao, Sanada, Katsunori
openaire   +2 more sources

Sum of Divisors in a Ring of Gaussian Integers

Ukrainian Mathematical Journal, 2001
Summary: We construct an asymptotic formula for a summation function for \(\sigma_a(\alpha)\), where \(\sigma_a(\alpha)\) is the sum of the \(a\)-th powers of the norms of divisors of the Gaussian integer \(\alpha\) on an arithmetic progression \(\alpha\sim\alpha_0\pmod\gamma\) and in a narrow sector \(\phi_1\leq\operatorname {arg ...
openaire   +2 more sources

Representations of Cyclic Groups in Rings of Integers, I

The Annals of Mathematics, 1962
Let Gk be a cyclic group of order k, and let ZGk denote its group ring over the ring Z of rational integers. We denote by n(ZGk) the number of non-isomorphic indecomposable left ZGk-modules having finite Z-bases. In 1938 Diederichsen [2] proved that n(ZG,) is finite for p a rational prime, and gave an incorrect proof that n(ZG4) is infinite.
Heller, A., Reiner, Irving
openaire   +1 more source

Multiplication Of Polynomials Over The Ring Of Integers

25th Annual Symposium onFoundations of Computer Science, 1984., 2005
Let R be a ring, and let f(/spl alpha/), g(/spl alph/) /spl epsi/ R[/spl alpha/] be univariate polynomials over R of degree n. We Present an algorithm for computing the coefficients of the product f(/spl alpha/)G (/spl alpha/) by O (nlgn) multiplications. This algorithm is based on an algorithm for multiplying polynomials over the ring of integers, and
openaire   +2 more sources

Rings: Applications of the integers

1976
In this chapter we assemble some results on rings which we obtain by using a specific knowledge of the natural numbers and the integers. We begin the chapter with some work refining our knowledge of finite and infinite sets. We then routinely study some theorems extending the associative, commutative, and distributive laws to any finite number of ...
openaire   +1 more source

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