Artin's conjecture for septic and unidecic forms

2008/01/01 by Trevor D. Wooley · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematics #Conjecture #Pure mathematics #Combinatorics

paper · pdf · doi:10.4064/aa133-1-2

openalex publication_date 2008/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/10

Abstract

Introduction. A theorem of Ax and Kochen Let n, t and d 1 , . . . , d t be natural numbers. Then Ax and Kochen show that there is a positive integer p 0 with the following property. Let K be a p-adic field with [K : Q p ] = n, and suppose that f 1 , . . . , f t K[x] are homogeneous with respective degrees d 1 , . . . , d t , and possess s

Citations

• Bounds on transfer principles for algebraically closed and complete discretely valued fields
• Diophantine Problems Over Local Fields I

Cited by

• Ax–Kochen theorem [wikipedia]

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