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Randomness of prime numbers

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강연자 임선희
소속 서울대학교
date 2012-11-15

Ergodic theory of horocycle flow and nilflow has been proved to be useful for analyzing the randomness of Mobius function, a function which reveals the mystery of prime numbers. In this survey talk, we will introduce Mobius function and several conjectures about its randomness, such as Chowla conjecture and Hardy-Littlewood conjecture. We will explain results of Green-Tao-Zielger and Bourgain-Sarnak-Ziegler related to these conjectures. This talk is intended for senior undergraduate students and first year graduate students.

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연구
Department of Mathematical Sciences, Seoul National University GwanAkRo 1, Gwanak-Gu, Seoul 151-747, Korea
TEL 02-880-5857,6530,6531 / FAX 02-887-4694