Some Diophantine equations of the third degree
نویسندگان
چکیده
منابع مشابه
Some Fourth Degree Diophantine Equations in Gaussian Integers
For certain choices of the coefficients a, b, c the solutions of the Diophantine equation ax+by = cz in Gaussian integers satisfy xy = 0.
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In this paper we study the equation m−n = py,where p is a prime natural number, p≥ 3. Using the above result, we study the equations x + 6pxy + py = z and the equations ck(x 4 + 6pxy + py) + 4pdk(x y + pxy) = z, where the prime number p ∈ {3, 7, 11, 19} and (ck, dk) is a solution of the Pell equation, either of the form c −pd = 1 or of the form c − pd = −1. I. Preliminaries. We recall some nece...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1980
ISSN: 0528-2195
DOI: 10.21136/cpm.1980.108244