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Euclid's Algorithm in real Quadratic Fields

H. Chatland, H. Davenport

Canadian Journal of Mathematics · 1950 · 20 citations · 3 references

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Concepts

Abstract

1. Let m be a positive square-free integer. Euclid's Algorithm is said to hold in the field if, given any non-integral element a in the field, an integer a can be found so that

References

3

Indefinite Binary Quadratic Forms, and Euclid's Algorithm in Real Quadratic Fields

H. Davenport · Proceedings of the London Mathematical Society · 1951 · 22 citations

, , +10

Note on the Euclidean Algorithm

P. Erdös, Chao Ko · Journal of the London Mathematical Society · 1938 · 19 citations

, , +6

On the Euclidean algorithm in quadratic number fields

H. Chatland · Bulletin of the American Mathematical Society · 1949 · 10 citations · Full text

, , +11