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arXiv · 2011.08732

On Artin's Conjecture: Pairs of Additive Forms

Miriam Sophie Kaesberg
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Abstract

It is established that for every pair of additive forms $f=\sum_{i=1}^s a_i x_i^k, g=\sum_{i=1}^s b_i x_i^k$ of degree $k$ in $s>2k^2$ variables the equations $f=g=0$ have a non-trivial $p$-adic solution for all odd primes $p$.

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Miriam Sophie Kaesberg. 2020-11-17. On Artin's Conjecture: Pairs of Additive Forms. https://doi.org/10.1112/jlms.12490

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