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portada Goldbach's Problem: Selected Topics
Type
Physical Book
Author
Publisher
Language
English
Pages
122
Format
Paperback
Dimensions
23.4 x 15.6 x 0.8 cm
Weight
0.20 kg.
ISBN13
9783319579122
Categories

Goldbach's Problem: Selected Topics

Michael Th Rassias (Author) · Springer · Paperback

Goldbach's Problem: Selected Topics - Rassias, Michael Th

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Synopsis "Goldbach's Problem: Selected Topics"

Important results surrounding the proof of Goldbach's ternary conjecture are presented in this book. Beginning with an historical perspective along with an overview of essential lemmas and theorems, this monograph moves on to a detailed proof of Vinogradov's theorem. The principles of the Hardy-Littlewood circle method are outlined and applied to Goldbach's ternary conjecture. New results due to H. Maier and the author on Vinogradov's theorem are proved under the assumption of the Riemann hypothesis. The final chapter discusses an approach to Goldbach's conjecture through theorems by L. G. Schnirelmann. This book concludes with an Appendix featuring a sketch of H. Helfgott's proof of Goldbach's ternary conjecture. The Appendix also presents some biographical remarks of mathematicians whose research has played a seminal role on the Goldbach ternary problem. The author's step-by-step approach makes this book accessible to those that have mastered classical number theory and fundamental notions of mathematical analysis. This book will be particularly useful to graduate students and mathematicians in analytic number theory, approximation theory as well as to researchers working on Goldbach's problem.

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