Convergence exponent of a special integral in the two-dimensional Tarry problem with homogeneous polynomial of degree 2

DOI10.1134/S0001434619030064zbMath1434.11165OpenAlexW2944701001WikidataQ127902000 ScholiaQ127902000MaRDI QIDQ2314100

Yanyan Li

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619030064

zbMATH Keywords

Fourier transformHausdorff-Young inequalityPlancherel's theoremconvergence exponentspecial integralTarry problem

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Diophantine equations in many variables (11D72)

Cites Work

• Multiple rational trigonometric sums and multiple integrals
• TRIGONOMETRIC INTEGRALS
• On the convergence exponent of the singular integral in the multi-dimensional analogue of Tarry's problem
• Показатель сходимости особого интеграла двумерной проблемы Терри с однородным многочленом степени 2
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