Read [Pdf]> 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
French audiobook download free Jacobsthal Sums (English literature) 9789819813162 by Bogdan Nica ePub
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 and Jacobsthal-Lucas numbers and sums introduced by .
We study the sums introduced by Jacobsthal and Tverberg and show that the extreme values of the sums are connected with Jacobsthal and Jacobsthal-Lucas numbers.
The Cyclotomic Problem | SpringerLink
Rajwade, On the Jacobsthal sum ? 9 (a) and the related sum ψ 9 (a), Math. Scand. 53 (1983), no. 1, 193–202. Article MathSciNet MATH Google Scholar. S. A. .
[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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books. Binet's formula of . From the last corollary, we obtain the following results for Jacobsthal and Jacobsthal-Lucas numbers.
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Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers . ON FAMILIES OF BIPARTITE GRAPHS ASSOCIATED WITH SUMS OF GENERALIZED ORDER-k.
[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 .
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