Variance of arithmetic sums and L-functions in Fq[t]

We compute the variances of sums in arithmetic progressions of arithmetic functions associated with certain L-functions of degree 2 and higher in F q [t], in the limit as q →∞. This is achieved by establishing appropriate equidistribution results for the associated Frobenius conjugacy classes. The v...

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Bibliographic Details
Main Authors: Hall, C, Keating, J, Roditty-Gershon, E
Format: Journal article
Published: Mathematical Sciences Publishers 2019