ON NON- HOMOGENEOUS BIQUADRATIC DIOPHANTINE EQUATION 5(X2+Y2) -9XY = 23Z4
نویسندگان
چکیده
منابع مشابه
On Pillai’s Diophantine equation
Let A, B, a, b and c be fixed nonzero integers. We prove several results on the number of solutions to Pillai’s Diophantine equation Aa −Bby = c in positive unknown integers x and y.
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If a, b and n are positive integers with b ≥ a and n ≥ 3, then the equation of the title possesses at most one solution in positive integers x and y, with the possible exceptions of (a, b, n) satisfying b = a + 1, 2 ≤ a ≤ min{0.3n, 83} and 17 ≤ n ≤ 347. The proof of this result relies on a variety of diophantine approximation techniques including those of rational approximation to hypergeometri...
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ژورنال
عنوان ژورنال: International Journal of Research in Engineering and Technology
سال: 2016
ISSN: 2321-7308,2319-1163
DOI: 10.15623/ijret.2016.0504029