The autocorrelation of the Möbius function and Chowla's conjecture for the rational function field in characteristic 2

Abstract

We prove a function field version of Chowla's conjecture on the autocorrelation of the Möbius function in the limit of a large finite field of characteristic 2.

References in corpus (1)

• Shifted convolution and the Titchmarsh divisor problem over F_q[t]

Cited by in corpus (12)

• Shifted convolution and the Titchmarsh divisor problem over F_q[t]
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• On the Bateman-Horn conjecture for polynomials over large finite fields
• Chebotarev density theorem in short intervals for extensions of ${\mathbb{F}}_q(T)$
• Correlation of arithmetic functions over ${\mathbb{F}}_q[T]$
• Prime and Möbius correlations for very short intervals in ${\mathbb{F}}_q[x]$
• Correlations between primes in short intervals on curves over finite fields
• Correlation of multiplicative functions over function fields
• Cubic twin prime polynomials are counted by a modular form
• Note on the Theory of Correlation Functions
• Arithmetic correlations over large finite fields
• Endomorphism operads of functors