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Goldbach's Problem

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Springer

Paru le : 2017-06-25

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-Litt...
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Description du livre




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.

À propos

Auteur
Michael Th. Rassias
Éditeur
Springer
Collection
n.c
Parution
2017-06-25
Pages
122 pages
EAN papier
9783319579122

Auteur(s) du livre


Defaut-Illustration Michael Th. Rassias

Caractéristiques détaillées - droits

EAN PDF
9783319579146
Prix
94,94 €
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
1198 Ko
Ce livre est accessible aux handicaps informations d'accessibilité
EAN EPUB
9783319579146
Prix
94,94 €
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
1823 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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