Abstract:The Hardy-Littlewood majorant problem has a positive answer only for exponents p which are even integers, while there are counterexamples for all p / ∈ 2N. Montgomery conjectured that there exist counterexamples even among idempotent polynomials. This was proved recently by Mockenhaupt and Schlag with some four-term idempotents.However, Mockenhaupt conjectured that even the classical 1 + e 2πix ± e 2πi(k+2)x threeterm character sums, should work for all 2k < p < 2k + 2 and for all k ∈ N. In two previous papers… Show more
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