Congruence Representations in Algebraic Number Fields

DOI10.2307/1990722zbMath0051.27702OpenAlexW4243466586MaRDI QIDQ5820633

Eckford Cohen

Publication date: 1953

Full work available at URL: https://doi.org/10.2307/1990722

zbMATH Keywords

number theory

Mathematics Subject Classification ID

Congruences in many variables (11D79)

Related Items (6)

Counting rational points of an algebraic variety over finite fields ⋮ The number of solutions of certain equations over a finite field ⋮ A reduction for counting the number of zeros of general diagonal equation over finite fields ⋮ The Finite Goldbach Problem in Algebraic Number Fields ⋮ Congruences in Algebraic Number Fields Involving Sums of Similar Powers ⋮ The number of rational points of a family of hypersurfaces over finite fields

Cites Work

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• Additive prime number theory in real quadratic fields
• Sums of an even number of squares in \(GF[p^n,x\). II]
• Sums of an odd number of squares in \(\text{GF}[p^n,x\)]
• The singular series for sums of squares of polynomials
• Representations of arithmetic functions in \(\mathrm{GF}[p^n,x\). I]
• Ring of arithmetic functions
• Sums of \(m\)th powers of algebraic integers
• Expansions of Arithmetical Functions in Infinite Series

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