About this book
Introduction
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 HardyLittlewood 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 stepbystep 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.
Keywords
Bibliographic information
 Book Title Goldbach’s Problem
 Book Subtitle Selected Topics

Authors
Michael Th. Rassias
 DOI https://doi.org/10.1007/9783319579146
 Copyright Information Springer International Publishing AG 2017
 Publisher Name Springer, Cham
 eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
 Softcover ISBN 9783319579122
 eBook ISBN 9783319579146
 Edition Number 1
 Number of Pages XV, 122
 Number of Illustrations 0 b/w illustrations, 0 illustrations in colour

Topics
Number Theory
Analysis
Numerical Analysis
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