On a generalization of the Beiter Conjecture
Bartłomiej Bzdęga (2016)
Acta Arithmetica
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We prove that for every ε > 0 and every nonnegative integer w there exist primes such that for the height of the cyclotomic polynomial is at least , where and is a constant depending only on w; furthermore . In our construction we can have for all i = 1,...,w and any function h: ℝ₊ → ℝ₊.