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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.
RESOLUTION OF THE SIGN AMBIGUITY IN THE . - jstor
for Φ2( 1) may be found in Storer's book [13, p. 56], The secon this paper is . quartic Jacobsthal sums, Pacific J. Math. 99 (1982), 379-386. 10. E .
Special D(k2+1) Dio-quadruple Involving Jacobsthal Lucas and .
We search for three distinct integers a,b,c such that product of any two from the set added with -times their sum and increased by K2+1 is a perfect square.
[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 .
[PDF] APPLICATIONS OF JACOBSTHAL AND . - Mathematica Montisnigri
The Jacobsthal-Lucas matrix is defined in [2] as follows. In this study, we will take as in terms of using Jacobsthal-Lucas numbers.
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[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 .
[PDF] On Sums and Generating Functions of Horadam Polynomials
books. Binet's formula of . From the last corollary, we obtain the following results for Jacobsthal and Jacobsthal-Lucas numbers.