Jacobsthal Sums

Bogdan Nica (Autor)

Buch | Hardcover

184 Seiten

2025
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-98-1316-2 (ISBN)

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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.

Erscheinungsdatum	04.06.2025
Reihe/Serie	Monographs In Number Theory ; 14
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	981-98-1316-6 / 9819813166
ISBN-13	978-981-98-1316-2 / 9789819813162
Zustand	Neuware