Variance of sums in arithmetic progressions of divisor functions associated with higher degree 𝐿-Functions in 𝔽q[𝑡]

We compute the variances of sums in arithmetic progressions of generalised 𝑘-divisor functions related to certain 𝐿-functions in 𝔽q[𝑡], in the limit as q → ∞. This is achieved by making use of recently established equidistribution results for the associated Frobenius conjugacy classes. The variances...

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Bibliographic Details
Main Authors: Roditty-Gershon, E, Hall, C, Keating, JP
Format: Journal article
Language:English
Published: World Scientific Publishing 2019