Special quadrature error estimates and their application in the Hardy-Littlewood majorant problem

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Sándor Krenedits¹ 

[1] Kozma Lajos Technical College

关键词: zeroes and sign changes of trigonometric polynomials;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

The Hardy-Littlewood majorant problem has a positive answer only for exponents $p$ which are even integers, while there are counterexamples for all $potin 2NN$. Montgomery conjectured that there exist counterexamples even among idempotent polynomials. This was proved recently by Mockenhaupt and Schlag with some four-term idempotents.

【 授权许可】

Unknown