More exact values of the function \(\Gamma^\ast (k)\)

DOI10.1016/j.jnt.2021.06.005zbMath1494.11037OpenAlexW3184103299WikidataQ114156906 ScholiaQ114156906MaRDI QIDQ2064348

Daiane Veras, Paulo H. A. Rodrigues, Michael P. Knapp, Christopher Broll, Jessica A. Kuiper

Publication date: 5 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.06.005

zbMATH Keywords

Artin's conjecturediagonal forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Diophantine equations in many variables (11D72) (p)-adic and power series fields (11D88)

Related Items (1)

Inhomogeneous additive equations

Cites Work

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• Exact values of the function \(\varGamma ^{*}(k)\)
• Pairs of additive forms of odd degrees
• 2-adic zeros of diagonal forms
• Infinitely many counterexamples to a conjecture of Norton
• Cubic homogeneous polynomials over \(\mathfrak p\)-adic number fields
• Γ*(8)
• On the values of $\varGamma ^*(k,p)$ and $\varGamma ^*(k)$
• Homogeneous additive congruences
• Homogeneous additive equations
• A note on systems of homogeneous algebraic equations

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