5 citations · 5 across the 7 of their papers we have counts for
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math.NT2007
Products in Residue Classes
John B. Friedlander, Par Kurlberg, Igor E. Shparlinski
We consider a problem of P. Erdos, A. M. Odlyzko and A. Sarkozy about the representation of residue classes modulo m by products of two not too large primes. While it seems that ev…
math.NT2007
Bounds on exponential sums over small multiplicative subgroups
Par Kurlberg
We show that there is significant cancellation in certain exponential sums over small multiplicative subgroups of finite fields, giving an exposition of the arguments by Bourgain a…
math.NT2007
Matrix elements for the quantum cat map: Fluctuations in short windows
P. Kurlberg, L. Rosenzweig, Z. Rudnick
We study fluctuations of the matrix coefficients for the quantized cat map. We consider the sum of matrix coefficients corresponding to eigenstates whose eigenphases lie in a rando…