A PAUCITY ESTIMATE RELATED TO NEWTON SUMS OF ODD DEGREE

DOI10.1112/S0025579312000058zbMath1284.11058OpenAlexW2004364144MaRDI QIDQ2902657

Olivier Robert, Jörg Brüdern

Publication date: 22 August 2012

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579312000058

zbMATH Keywords

paucityPower sumsmultigrade systemodd degree system

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72)

Related Items (4)

On van der Corput's \(k\)-th derivative test for exponential sums ⋮ Rational points on an intersection of diagonal forms ⋮ Paucity problems and some relatives of Vinogradov’s mean value theorem ⋮ VINOGRADOV SYSTEMS WITH A SLICE OFF

Cites Work

• Über die Abhängigkeit von Potenzsummen und einen Satz von Pólya
• Über Potenzsummen
• Theorems of Kakeya and Pólya on power-sums
• On a certain nonary cubic form and related equations
• An analogue of Van der Corput's A ⁵ ‐process for exponential sums
• Répartition des points rationnels sur la cubique de Segre

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