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