The Journal of the Indian Mathematical Society

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ρ-Adic Forms


Affiliations
1 University of Notre Dame, Notre Dame, Indiana, United States
     

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It has long been conjectured that a homogeneous polynomial in n variables of a given fixed degree d over a ρ-adic number field has a non-trivial zero in that field provided n ≥ d2 + 1.
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  • ρ-Adic Forms

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Authors

B. J. Birch
University of Notre Dame, Notre Dame, Indiana, United States
D. J. Lewis
University of Notre Dame, Notre Dame, Indiana, United States

Abstract


It has long been conjectured that a homogeneous polynomial in n variables of a given fixed degree d over a ρ-adic number field has a non-trivial zero in that field provided n ≥ d2 + 1.