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- W4311763857 abstract "Let Fq[t] be the polynomial ring over the finite field Fq. For arithmetic functions ψ1,ψ2:Fq[t]→C, we establish that if a Bombieri-Vinogradov type equidistribution result holds for ψ1 and ψ2, then it also holds for their Dirichlet convolution ψ1⁎ψ2. As an application of this, we resolve a version of the Titchmarsh divisor problem in Fq[t]. More precisely, we obtain an asymptotic for the average behaviour of the divisor function over shifted products of two primes in Fq[t]." @default.
- W4311763857 created "2022-12-28" @default.
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- W4311763857 date "2023-05-01" @default.
- W4311763857 modified "2023-09-24" @default.
- W4311763857 title "An induction principle for the Bombieri-Vinogradov theorem over <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:msub><mml:mrow><mml:mi mathvariant=double-struck>F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=false>[</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>]</mml:mo></mml:math> and a variant of the Titchmarsh divisor problem" @default.
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- W4311763857 doi "https://doi.org/10.1016/j.jmaa.2022.126928" @default.
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