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An Extended Theory of Lucas Functions
Paperback
ISBN13: 9781025645131
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 38
Weight: 0.15
Height: 0.08 Width: 6.14 Depth: 9.21
Language: English
An Extended Theory of Lucas Functions is an influential mathematical treatise focusing on the properties, generalizations, and applications of Lucas sequences. Written by the distinguished number theorist Derrick Henry Lehmer, this work significantly advances the study of second-order linear recurrence sequences, building upon the earlier foundations laid by Édouard Lucas.
The book provides an in-depth exploration of Lucas functions, detailing their divisibility characteristics and their role in the advancement of primality testing methods. Lehmer's rigorous analysis offers a more comprehensive framework for understanding how these sequences operate within the field of number theory, bridging the gap between classical arithmetic and computational mathematics. By examining the relationships between these functions and modular forms, the work establishes a robust theoretical basis that remains relevant for modern research in cryptography and discrete mathematics.
As a vital contribution to mathematical literature, An Extended Theory of Lucas Functions remains a key resource for mathematicians and researchers. It highlights the intricate beauty of recurrence relations and their enduring importance in the evolution of numerical analysis and algebraic theory.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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