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Jacobsthal Sums
Bogdan Nica
Page: 184
Format: pdf, ePub, mobi, fb2
ISBN: 9789819813162
Publisher: World Scientific Publishing Company, Incorporated
Download or Read Online Jacobsthal Sums Free Book (PDF ePub Mobi) by Bogdan Nica
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The focus of this monograph is on the Jacobsthal sums of the title. These are quadratic character sums with polynomial arguments of a certain simple form. In addition to studying Jacobsthal sums on their own, the monograph explores their role in several topics of number-theoretical interest. A prominent theme is their use in counting solutions to equations over prime fields. Another aim is to construct representations of primes as sums of squares using Jacobsthal sums. Finally, Jacobsthal sums are applied to evaluate other quadratic character sums with polynomial arguments.This text is self-contained, with minimal technical prerequisites. We have strived for an engaging exposition, incorporating numerous examples and applications, carefully selected exercises, and historical notes and perspectives. Complete solutions to all exercises are provided.This monograph should be of interest to researchers studying character sums or counting solutions to equations over finite fields, as well as to graduate students and advanced undergraduates interested in these topics.
[PDF] JACOBSTHAL REPRESENTATION NUMBERS A. F. Horadam
The price of the book is $20.00; it can be purchased from the Subscription Manager of The Fibonacci. Quarterly whose address appears on the inside front cover .
A001045 - OEIS
jpg">Irregular triangle whose row sums are the Jacobsthal numbers. Book's website. %H Andreas M .
Sums of gauss, jacobi, and jacobsthal - ScienceDirect
A formula similar to Jacobsthal's for the explicit value of x in p = x 2 + y 2 where p is a prime of the form 4k + 1
Jacobsthal sum - Wikipedia
In mathematics, Jacobsthal sums are finite sums of Legendre symbols related to Gauss sums. They were introduced by Jacobsthal (1907).
An Investigation of Properties of Triangular, Oblong and Pentagonal .
Guy, The Book of Numbers, New York: Copernicus, 1996. M. Elia . Er, Sums of Fibonacci numbers by matrix methods, Fibonacci Quarterly .
Jacobsthal Sums - Abbey's Bookshop
The focus of this monograph is on the Jacobsthal sums of the title. These are quadratic character sums with polynomial arguments of a certain simple form.