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An Arithmetical Theory of Certain Numerical Functions (Classic Reprint)

An Arithmetical Theory of Certain Numerical Functions (Classic Reprint)
Author: Eric Temple Bell
Publisher: Forgotten Books
Total Pages: 52
Release: 2016-11-08
Genre: Mathematics
ISBN: 9781334214868

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Excerpt from An Arithmetical Theory of Certain Numerical Functions A functional form 1w whose expressed form is divisible by only and units is, if t is distinct from a unit, a prime form, and Mn) is a prime function. If H is a primitive form, which is also a prime form, H is a prime primitive, if H is in addition algebraic then H is an algebraic prime primitive, etc. With the exception of assigning a meaning to W where W, m are functional forms [this is done in to the definitions, etc., of 3 provide sufficient material for the accomplishment of (i) and (ii). But, in order to derive the properties of the W with a minimum of calculation, and also to make the processes and foundation sufficiently broad to support several duals Of arithmetic, the further consideration of the It; and their properties so far defined, is based upon the theory of sets, characteristics, and generators, the first two of which, themselves have an arithmetical theory. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


An Arithmetical Theory of Certain Numerical Functions

An Arithmetical Theory of Certain Numerical Functions
Author: Bell Eric Temple 1883-1960
Publisher: Hardpress Publishing
Total Pages: 66
Release: 2013-01
Genre:
ISBN: 9781314618006

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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.


Classical Theory of Arithmetic Functions

Classical Theory of Arithmetic Functions
Author: R Sivaramakrishnan
Publisher: Routledge
Total Pages: 205
Release: 2018-10-03
Genre: Mathematics
ISBN: 135146051X

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This volume focuses on the classical theory of number-theoretic functions emphasizing algebraic and multiplicative techniques. It contains many structure theorems basic to the study of arithmetic functions, including several previously unpublished proofs. The author is head of the Dept. of Mathemati


Classical Theory of Arithmetic Functions

Classical Theory of Arithmetic Functions
Author: R Sivaramakrishnan
Publisher: CRC Press
Total Pages: 416
Release: 1988-12-19
Genre: Mathematics
ISBN: 9780824780814

Download Classical Theory of Arithmetic Functions Book in PDF, ePub and Kindle

This volume focuses on the classical theory of number-theoretic functions emphasizing algebraic and multiplicative techniques. It contains many structure theorems basic to the study of arithmetic functions, including several previously unpublished proofs. The author is head of the Dept. of Mathemati


Number Theory in Function Fields

Number Theory in Function Fields
Author: Michael Rosen
Publisher: Springer Science & Business Media
Total Pages: 355
Release: 2013-04-18
Genre: Mathematics
ISBN: 1475760469

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Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of various theorems. The later chapters probe the analogy between global function fields and algebraic number fields. Topics include the ABC-conjecture, Brumer-Stark conjecture, and Drinfeld modules.


Higher Arithmetic

Higher Arithmetic
Author: Harold M. Edwards
Publisher: American Mathematical Soc.
Total Pages: 228
Release: 2008
Genre: Mathematics
ISBN: 9780821844397

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Among the topics featured in this textbook are: congruences; the fundamental theorem of arithmetic; exponentiation and orders; primality testing; the RSA cipher system; polynomials; modules of hypernumbers; signatures of equivalence classes; and the theory of binary quadratic forms. The book contains exercises with answers.


Basic Structures of Function Field Arithmetic

Basic Structures of Function Field Arithmetic
Author: David Goss
Publisher: Springer Science & Business Media
Total Pages: 433
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642614809

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From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss'clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062