The digital edition of all books may be viewed on our website before purchase. Excerpt from Journal für die Reine und Angewandte Mathematik, 1905, Vol. 129: In Vier Hefte (Classic Reprint)
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Paperback. Etat : New. Print on Demand. This book puts forth a novel method for solving linear equations, useful in number theory. The author builds on Dirichlet's work regarding the distribution of primes in arithmetic progressions. Through complex multiplication and the Lemniscate division, the author presents an algebraic tool to analyze the primes within a given linear form. The author also delves into the Gauss number system, where the complex numbers of the form a+bi, with both a and b integers, are considered. This system forms a field with only four units, leading to unique properties for prime numbers. Unlike in the rational numbers, primes in the Gauss system consist of not only the primes in the natural numbers, but also numbers like 1+i. The author explores these concepts and the behavior of primes within these linear forms to prove that there are an infinite number of primes within them, expanding on Dirichlet's findings. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9780666504111_0
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Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9780666504111
Quantité disponible : 15 disponible(s)
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9780666504111
Quantité disponible : 15 disponible(s)