Results 141 to 150 of about 16,932,162 (348)
On finite arithmetic groups [PDF]
Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
doaj
A note on class numbers of algebraic number fields
AbstractIt is proved, by elementary method, that, for a given odd prime number q and a given natural number e, there are infinitely many non-Galois algebraic number fields of degree q over Q, whose class numbers are all divisible by qe.
openaire +1 more source
A brief guide to algebraic number theory
Publisher's description: This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that ...
Swinnerton-Dyer, Henry P. F. 1927-2018
core
Review of CFD modelling techniques for single‐phase and multiphase flow in static mixers
This review synthesizes computational fluid dynamics (CFD) approaches for static mixers, linking hydrodynamics to pressure drop, particle/droplet distributions, mixing metrics, and heat‐transfer performance to guide modelling choices and design decisions. Abstract Static mixers enable compact and low‐energy intensification.
Jussan Jaeger +7 more
wiley +1 more source
Upper bounds for Euclidean minima of algebraic number fields
The aim of this paper is to give new upper bounds for Euclidean minima of algebraic number fields. In particular, to show that Minkowski's conjecture holds for the maximal totally real subfields of cyclotomic fields of prime power conductor ...
Bayer Fluckiger, Eva
core +2 more sources
The number of rational points of some classes of algebraic varieties over finite fields
Let Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan +3 more
doaj +1 more source
Number-Theoretic Transforms: Theory and Applications in Modern Cryptography
Number-theoretic transforms (NTT) provide exact arithmetic and efficient convolution over finite algebraic structures, and have emerged as a foundational computational primitive in modern cryptography.
Juliano B. Lima +1 more
doaj +1 more source
Abstract This article presents a strategy for conducting regression analysis of zero‐truncated recurrent event data. The research is partly motivated by a pediatric mental health care (PMHC) program based on administrative data. We are particularly interested in how the occurrence of an event depends on its past occurrences and the associated ...
Anqi A. Chen +3 more
wiley +1 more source
The life and work of Ernest Sydney Keeping
Abstract This article reviews the life and contributions of Ernest S. Keeping (1895–1984), a British‐born physicist who became a mathematics professor at the University of Alberta in 1929. He played a pivotal role in shaping the university's Mathematics Department, serving as its head from 1954 to 1961, and continuing to teach until 1970, nine years ...
David R. Bellhouse, Christian Genest
wiley +1 more source
The Number Field Sieve (NFS) is the fastest known general method for factoring integers having more than 120 digits. In this thesis we will will study the algebraic number theory that lies behind the algorithm, describe the algorithm in detail, implement
Spaans, Ruben Grønning
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