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Pairs of Additive Forms of Odd Degrees
(1) a1x k 1 + a2x k 2 + · · ·+ asxs = 0 b1x n 1 + b2x n 2 + · · ·+ bsxs = 0, with all coefficients in Q and with s ≥ k + n + 1, then this system should have a nontrivial solution in p-adic integers for each prime p. That is, the system should have a solution with at least one variable not equal to zero. By work of Brauer [3], it is known that there exists a finite bound on s in terms of k and n...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1972
ISSN: 0026-2285
DOI: 10.1307/mmj/1029000942