Goldbach’s Problem

Selected Topics

Authors: Rassias, Michael Th.

  • Features a step-by-step presentation of  results  of Goldbach's conjecture
  • Accessible to those that have mastered classical number theory and fundamental notions of mathematical analysis
  • Equips readers with an extensive bibliography
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eBook 65,44 €
price for Spain (gross)
  • ISBN 978-3-319-57914-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 80,07 €
price for Spain (gross)
  • ISBN 978-3-319-57912-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Reviews

“The monograph is well readable since the author provides many details and thus makes the presentation self-contained. The book will be a valuable addition to every mathematical library. It will serve as an invaluable source to students and professors interested in the subject. It is an important contribution to the mathematical literature.” (Helmut Maier, zbMATH, 2017)


Table of contents (4 chapters)

  • Introduction

    Rassias, Michael Th.

    Pages 1-5

    Preview Buy Chapter 30,19 €
  • Step-by-Step Proof of Vinogradov’s Theorem

    Rassias, Michael Th.

    Pages 7-65

    Preview Buy Chapter 30,19 €
  • The Ternary Goldbach Problem with a Prime and Two Isolated Primes

    Rassias, Michael Th.

    Pages 67-86

    Preview Buy Chapter 30,19 €
  • Basic Steps of the Proof of Schnirelmann’s Theorem

    Rassias, Michael Th.

    Pages 87-97

    Preview Buy Chapter 30,19 €

Buy this book

eBook 65,44 €
price for Spain (gross)
  • ISBN 978-3-319-57914-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 80,07 €
price for Spain (gross)
  • ISBN 978-3-319-57912-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Goldbach’s Problem
Book Subtitle
Selected Topics
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-57914-6
DOI
10.1007/978-3-319-57914-6
Softcover ISBN
978-3-319-57912-2
Edition Number
1
Number of Pages
XV, 122
Topics