SHORT TALKS BY POSTDOCTORAL MEMBERS | |

Topic: | Some Extremal Functions in Fourier Analysis and Applications to Number Theory |

Speaker: | Emanuel Carneiro |

Affiliation: | Member, School of Mathematics |

Date: | Tuesday, September 22 |

Time/Room: | 4:00pm - 5:00pm/S-101 |

I will give an overview on the recent developments on the Beurling-Selberg problem of majorization by entire functions of exponential type, in joint works with J.D. Vaaler (Texas) and F. Littmann (North Dakota State). These provide new applications to number theory that include: Hilbert-type inequalities, Erdos-Turan-type inequalities and, more recently, bounds for the Riemann zeta function on the critical line (work of Chandee-Soundararajan).