SeminarsSubconvexity bounds of L-functions.
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L-functions are natural generalizations of the Riemann zeta function. They are defined by Euler products over arithmetic data which have meromorphic continuation to the whole complex plane and satisfies the functional equation. An important open problem in analytic number theory is to bound the L-functions on the central line. In general, we only have the so-called convexity bound which follows from the Phragmen-Lindelof principle. A slight power saving bound is called a subconvexity bound. In this talk, we will discuss different methods to achieve subconvexity bounds for general L-functions.
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Xiaoqing Li
2013-07-24
14:00:00 - 15:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
L-functions are natural generalizations of the Riemann zeta function. They are defined by Euler products over arithmetic data which have meromorphic continuation to the whole complex plane and satisfies the functional equation. An important open problem in analytic number theory is to bound the L-functions on the central line. In general, we only have the so-called convexity bound which follows from the Phragmen-Lindelof principle. A slight power saving bound is called a subconvexity bound. In this talk, we will discuss different methods to achieve subconvexity bounds for general L-functions.