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