[PDF/Kindle] Jacobsthal Sums by Bogdan Nica

Jacobsthal Sums by Bogdan Nica

• Jacobsthal Sums
• Bogdan Nica
• Page: 184
• Format: pdf, ePub, mobi, fb2
• ISBN: 9789819813162
• Publisher: World Scientific Publishing Company, Incorporated

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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.

Jacobsthal Sums - 博客來
內容簡介. The focus of this monograph is on the Jacobsthal sums of the title. These are quadratic character sums with polynomial arguments of a certain .
On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers
In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating .
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 .
On the necessary condition for Baum-Katz type theorem for non .
Klesov, O. I., The strong law of large numbers for multiple sums of independent identically distributed random variables, Matem. Zametki 38 .
[PDF] Quest of Some Advanced Results among Jacobsthal and Jacobsthal .
like formula for the Jacobsthal and Jacobsthal-Lucas numbers. Ahmet Daşdemir [3] investigated a novel complex sum formula and the identities between the .
Fibonacci's Cats – MATHS WEEK IRELAND
In his Liber Abaci (Book of Calculations) he posed the following problem: . These numbers are called Jacobsthal Numbers. They are called after .
[PDF] Jacobsthal Matrices and their Properties
book A Handbook of integer sequences N.Sloane. Y üksel Soykan(7), investigated a study on generalized Jacobsthal- Padovan numbers(7). Alaa .
[PDF] Generating sequences from the sums of binomial coefficients in a .
Jacobsthal and Jacobsthal-Lucas Polynomials . Book Co., 1974. [5] W.W. Bell, Special Functions, Dover Publications, Inc. Mineola, New .
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[PDF] Convolutions of Sequences with Similar Linear Recurrence Formulas
Equation (6) is the very first identity in Benjamin and Quinn's book [2]. Using our definition of an, and splitting up the sum on the left into two sums over .
[PDF] second order finite difference scheme for one dimensional shallow .
[4, 7]. 1.1 Sums of Jacobsthal Polynomial Products of Order 3: In [5], we . In his book Arithmeticorum Libri Duo, he presented various properties of integers .

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