Two lectures on Number Theory [Sept. 2013]
DATE:2013-09-23
Speaker:
Yuk-Kam Lau, The University of Hong Kong
Title:
The signs of the Fourier coeffients of newforms
Venue:
B1044
Time:
9:45-10:45, 24 Sept.
Abstract:
Given an elliptic modular newform, a central problem is to investigate its normalized Fourier coefficients. There are a couple of interesting results on their signs by various writers. Our aim is to give a survey on these works.
Speaker:
Jie Wu, CNRS, Universit e de Lorraine, France
Title:
On the arcsin law of divisors
Venue:
B1044
Time:
11:00-12:00, 24 Sept.
Abstract:
In this talk, we shall present a general result on the Selberg-Delange method in short intervals. As an application, we generalize Deshouiller-Dress-Tenenbaum's arcsin law on divisors to the short interval case.
This is joint work with Zhen Cui.
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