Seminar Calendar
for number theory events the next 10 weeks of Thursday, December 5, 2013.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, December 5, 2013

Number Theory Seminar
11:00 am   in 241 Altgeld Hall,  Thursday, December 5, 2013
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 Maksym Radziwill (IAS Princeton)Quadratic forms and the distribution of Fourier coefficients of half-integral weight modular formsAbstract: I will discuss recent joint work with Soundararajan concerning the distribution of Fourier coefficients of half-integral weight modular form. We obtain half of the conjecture concerning the log-normality of these coefficients. I will discuss applications to the number of representations of an integer by a quadratic form.

 Shaun Cooper (Massey University, New Zealand)Apery numbers, hypergeometric functions and modular formsAbstract: The Aprey numbers were used by R. Apery in his proofs of the irrationality of $\zeta(2)$ and $\zeta(3)$, respectively. The generating functions for the sequences fang and fbng are analogues of 2F1 and 3F2 hypergeometric functions, and they can be uniformized by modular forms. These, and many other similar examples, will be surveyed.