Nonexistence conditions of a solution for the congruence 𝑥₁^{𝑘}+⋯+𝑥_{𝑠}^{𝑘}≡𝑁(\mod𝑝ⁿ)

DOI10.1090/S0025-5718-99-01067-4zbMath0924.11025OpenAlexW123232278MaRDI QIDQ4240594

Kenji Koyama, Hiroshi Sekigawa

Publication date: 28 April 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01067-4

zbMATH Keywords

diagonal equationsWaring's problem\(p\)-adic fieldscongruence equations

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Congruences in many variables (11D79) (p)-adic and power series fields (11D88)

Related Items (1)

On searching for solutions of the Diophantine equation $x^3 + y^3 +2z^3 = n$

Cites Work

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• On searching for solutions of the Diophantine equation 𝑥³+𝑦³+𝑧³=𝑛
• A note on Waring's problem in p-adic fields
• Waring's problem for p-adic number fields
• On Waring's Problem in p-adic fields
• Numbers of solutions of equations in finite fields

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