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On zeros of \(p\)-adic forms

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Publication:788020
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DOI10.1307/mmj/1029002790zbMath0531.10026OpenAlexW2049093416MaRDI QIDQ788020

Hugh L. Montgomery, D. J. Lewis

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1307/mmj/1029002790


zbMATH Keywords

exponential lower boundArtin conjecturehigher degree forms\(p\)-adic interpolation\(p\)-adic zero


Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Diophantine equations in many variables (11D72) (p)-adic theory (11E95)


Related Items (9)

On \(p\)-adic zeros of systems of diagonal forms restricted by a congruence condition ⋮ Sur les diviseurs premiers des suites récurrentes linéaires ⋮ \(u\)-invariants for forms of higher degree ⋮ On Artin’s conjecture: Linear slices of diagonal hypersurfaces ⋮ On systems of diagonal forms II ⋮ On \(p\)-adic zeros of forms ⋮ The solubility of certain p-adic equations ⋮ Linear spaces on the intersection of cubic hypersurfaces ⋮ On systems of diagonal forms






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