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On differences of two squares in some quadratic fields (CROSBI ID 108506)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Dujella, Andrej ; Franušić, Zrinka On differences of two squares in some quadratic fields // The Rocky Mountain journal of mathematics, 37 (2007), 2; 429-453-x

Podaci o odgovornosti

Dujella, Andrej ; Franušić, Zrinka

engleski

On differences of two squares in some quadratic fields

In this paper, we study the problem of determining the elements in the rings of integers of quadratic fields Q(sqrt(d)) which are representable as a difference of two squares. The complete solution of the problem is obtained for integers d which satisfy conditions given in terms of solvability of certain Pellian equations.

difference of squares; quadratic fields; Pellian equations

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Podaci o izdanju

37 (2)

2007.

429-453-x

objavljeno

0035-7596

Povezanost rada

Matematika

Indeksiranost