Some Ramanujan-Nagell equations with many solutions
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چکیده
منابع مشابه
Some Ramanujan–Nagell equations with many solutions
If we fix y as 1 in (1) we obtain a Ramanujan-Nagell equation. In [4] Erdös, Stewart and Tijdeman proved that the exponential dependence on s in estimates (2) and (3) is not far from the truth by giving examples of Ramanujan-Nagell equations with many solutions. Let ε be a positive number, let 2 = p1, p2, . . . be the sequence of prime numbers and let n be an integer with n ≥ 2. They proved tha...
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in positive integers x, y,D and n > 2 with gcd(x, y)= 1. When D = 1, the equation has no solution by an old result of Lebesgue [14]. We assume from now on that D > 1. Eq. (1) has been extensively studied by many authors, in particular, by Cohn and Le. See [8,10–13] for several results. We also refer to [8] for a survey. The equation is referred as the generalized Ramanujan–Nagell equation who p...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1990
ISSN: 0019-3577
DOI: 10.1016/0019-3577(90)90014-e