On Artin’s conjecture for pairs of diagonal forms

DOI10.1142/S1793042122500336zbMath1490.11098arXiv2009.13024OpenAlexW3198315393WikidataQ113776650 ScholiaQ113776650MaRDI QIDQ5069081

João Campos Vargas

Publication date: 8 April 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13024

zbMATH Keywords

Artin's conjecturediagonal formszero-sum subsequencessystems modulo \(p\)

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Other combinatorial number theory (11B75) Inverse problems of additive number theory, including sumsets (11P70)

Cites Work

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• Pairs of additive forms of degree \(p^\tau(p-1)\)
• New upper bounds for the Davenport and for the Erdős-Ginzburg-Ziv constants
• A lattice point problem and additive number theory
• A combinatorial problem on finite Abelian groups. II
• Systems of Diagonal Equations Over p-Adic Fields
• ON ARTIN'S CONJECTURE, II: PAIRS OF ADDITIVE FORMS
• On the Addition of Residue Classes
• Solvability of systems of diagonal equations over p‐adic local fields

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