Statistics for low-lying zeros of Hecke L -functions in the level aspect
Published in Mathematisches Forschungsinstitut Oberwolfach, Report No. 34/2007, Explicit Methods in Number Theory (July 15th-July 21st), 19--24 (2007).
In this paper, we remind you of Iwaniec-Luo-Sarnak’s results on one-level densities for low-lying zeros of Hecke L-functions and Katz-Sarnak’s results on one-level densities for eigenvalues of orthogonal random matrices. Then, we introduce you to a very strange phenomenom discovered by Hughes and Miler: Mock-Gaussian behaviour.
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