Improved lower bound for the Mahler measure of the Fekete polynomials

Tam´ as Erd´ elyi · 2018

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math.NT · 2026-05-13 · unverdicted · novelty 7.0

For non-principal χ mod prime p, the max over θ of |sum_{αp < n ≤ βp} χ(n) e(nθ)| satisfies √p log log p ≪ max ≪ √p log p.

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Large values of shifted mixed character sums math.NT · 2026-05-13 · unverdicted · none · ref 6
For non-principal χ mod prime p, the max over θ of |sum_{αp < n ≤ βp} χ(n) e(nθ)| satisfies √p log log p ≪ max ≪ √p log p.