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Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 28, 2016 13:00–13:25, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall 		 

The hyperbolic circle problem

M. Risager

University of Copenhagen,
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M. Risager



Abstract: We review the hyperbolic circle problem and explain some recent results concerning the error term. We also explain how these results relate to $L$-functions of certain automorphic forms and conjectures on the $\sup$-norm of automorphic functions.

Language: English
 
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