RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Video Library
Archive
Most viewed videos

Search
RSS
New in collection





You may need the following programs to see the files






А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 22, 2017 12:50, Moscow, Steklov Mathematical Institute
 


The Ternary Goldbach Problem with a prime and two isolated primes (joint paper with M.T. Rassias)

H. Maier

University of Ulm
Video records:
MP4 590.3 Mb
MP4 149.8 Mb

Number of views:
This page:85
Video files:14

H. Maier
Photo Gallery


Видео не загружается в Ваш браузер:
  1. Установите Adobe Flash Player    

  2. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  3. Сообщите администратору портала о данной ошибке

Abstract: The concept of an isolated prime is closely related to the problem of large gaps between consecutive primes. This problem has mainly been studied by the Erdös - Rankin method and its extensions. Recently a significant improvement of the result has been achieved by Ford, Green, Konyagin, Maynard and Tao. The authors of the present paper combine the results and methods of these five authors with the circle method, which first has been applied to the ternary Goldbach problem by I.M. Vinogradov. His result has been extended to various special sets of primes, e.g. primes in arithmetic progressions. By considering primes in residue-classes, they have constructed by the improved Erdös-Rankin method, the authors obtain the following
Theorem. Under assumption of the Generalized Riemann Hypothesis each sufficiently large odd integer can be expressed as the sum of a prime and two isolated primes.

Language: English

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017