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An extension of Chevalley's theorem to congruences modulo prime powers

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Publication:1211535
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DOI10.1016/0022-314X(74)90025-0zbMath0292.10042MaRDI QIDQ1211535

Stephen H. Schanuel

Publication date: 1974

Published in: Journal of Number Theory (Search for Journal in Brave)



Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Abelian groups (20K99)


Related Items (11)

Warning's second theorem with relaxed outputs ⋮ A counting lemma for binary matroids and applications to extremal problems ⋮ Warning's second theorem with restricted variables ⋮ Chevalley-Warning type results on abelian groups ⋮ Chevalley's theorem with restricted variables ⋮ On systems of linear and diagonal equation of degree \(p^i+1\) over finite fields of characteristic \(p\) ⋮ On systems of diagonal forms II ⋮ Point count divisibility for algebraic sets over ℤ/𝕡^{ℓ}ℤ and other finite principal rings ⋮ Evaluation of polynomials over finite rings via additive combinatorics ⋮ On \(p\)-adic zeros of forms ⋮ On systems of diagonal forms



Cites Work

  • A combinatorial problem on finite Abelian groups. II
  • Sums of sets in the elementary abelian group of type (p, p)
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