The autocorrelation of the Mobius function and Chowla's conjecture for the rational function field

2012/05/08 by Dan Carmon, Carmon, Dan, Zeev Rudnick +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #math.DS #math.NT

paper · pdf · doi:10.48550/arxiv.1205.1599

Added background details about discriminants and resultants, and more minor changes

arxiv created 2012/12/11 · arxiv updated 2012/12/12

Abstract

We prove a function field version of Chowla's conjecture on the autocorrelation of the Mobius function in the limit of a large finite field.

Related

• On the Chowla and twin primes conjectures over \mathbb F_q[T]
• Some problems in analytic number theory for polynomials over a finite field
• Correlations of sums of two squares and other arithmetic functions in function fields
• Autocorrelation of the Mobius Function
• Arithmetic correlations over large finite fields