Jacobsthal Sums
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Book Overview The focus of this monograph is on the Jacobsthal sums of the title. These are quadratic character sums with polynomial arguments of a cer...
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.
Book Details Format: Hardcover | Pages: 184 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9819813166
FormatHardcover
Pages184
LanguageEnglish
ISBN9819813166
EAN9789819813162
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date2025-06-27
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight0.91 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.44 Inches
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