60 citations · 127 across the 31 of their papers we have counts for
Showing 2002 · math.NTShow all
2 papers · 2 filters
math.NT2002
Linear statistics of low-lying zeros of L--functions
C. P. Hughes, Z. Rudnick
We consider linear statistics of the scaled zeros of Dirichlet --functions, and show that the first few moments converge to the Gaussian moments. The number of Gaussian moments…
math.NT2002
Torsion points on curves and common divisors of a^k-1 and b^k-1
Nir Ailon, Zeev Rudnick
We study the behavior of the greatest common divisor of a^k-1 and b^k-1, where a,b are fixed integers or polynomials, and k varies. In the integer case, we conjecture that when a a…