Levent Alpoge

  • Citations Per Year
Learn More
This is a survey of pseudorandomness, the theory of efficiently generating objects that “look random” despite being constructed using little or no randomness. This theory has significance for a number of areas in computer science and mathematics, including computational complexity, algorithms, cryptography, combinatorics, communications, and additive number(More)
The Katz-Sarnak density conjecture states that the scaling limits of the distributions of zeroes of families of automorphic L-functions agree with the scaling limits of eigenvalue distributions of classical subgroups of the unitary groups U(N). This conjecture is often tested by way of computing particular statistics, such as the one-level density, which(More)
1 Levent Alpoge Harvard University, Department of Mathematics, Harvard College, Cambridge, MA 02138 bluealpoge@college.harvard.edu 2 Nadine Amersi Department of Mathematics, University College London, London, WC1E 6BT bluen.amersi@ucl.ac.uk 3 Geoffrey Iyer Department of Mathematics, UCLA, Los Angeles, CA 90095 bluegeoff.iyer@gmail.com 4 Oleg Lazarev(More)
The Katz-Sarnak Density Conjecture states that the behavior of zeros of a family of L-functions near the central point (as the conductors tend to zero) agrees with the behavior of eigenvalues near 1 of a classical compact group (as the matrix size tends to infinity). Using the Petersson formula, Iwaniec, Luo and Sarnak [ILS] proved that the behavior of(More)
  • 1