Yu Tsumura

These are articles about twin primes that I wrote for undergraduate study.

Last updated on July 29, 2009.

Abstract	Abstract (in English): The definition of twin primes, Bombieri's theorem, Elliot-Halberstam's conjecture.
Detailed Abstract	Detailed Abstract (in Japanese): This is a handout for a graduation seminar. prime number theorem, Bombieri-Vinogradov theorem, large sieve, Elliot-Halberatam's conjecture, Riemann hypothesis for L functions.
Outline	outline(in Japanese): These are on the screen in a graduation seminar.
secret manuscript	secret manuscript (in Japanese): Since my undergrad advisor didn't like this format,this manuscript couldn't appear in a seminar.

Abstract