Nonexistence conditions of a solution for the congruence $x_1^k +\cdots + x_s^k \equiv N (\mod p^n)$
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چکیده
منابع مشابه
Nonexistence conditions of a solution for the congruence x1k + ... + xsk = N (mod pn)
We obtain nonexistence conditions of a solution for of the congruence x1 + · · · + xs ≡ N (mod pn), where k ≥ 2, s ≥ 2 and N are integers, and pn is a prime power. We give nonexistence conditions of the form (s, N mod pn) for k = 2, 3, 4, 5, 7, and of the form (s, pn) for k = 11, 13, 17, 19. Furthermore, we complete some tables concerned with Waring’s problem in p-adic fields that were computed...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1999
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-99-01067-4