Results 101 to 110 of about 175 (143)

On some diophantine inequalities involving primes.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1967
openaire   +2 more sources

On a Diophantine Inequality Over Primes (II)

Monatshefte Fur Mathematik, 2006
Suppose that \(c > 1\) is not an integer. Let \(H(c)\) denote the least integer \(r\) such that for any fixed \(\varepsilon > 0\) and for any \(N > N_0(c, \varepsilon) > 0\), the inequality \[ \left| p_1^c + p_2^c + \dots + p_r^c - N \right| < \varepsilon \] has solutions in prime numbers \(p_1, p_2, \dots, p_r\).
Wenguang Zhai   +2 more
exaly   +3 more sources

Cubic Diophantine Inequalities

Acta Mathematica Sinica, English Series, 2001
In this paper, it is proved that for any real numbers \(\lambda_1\), \(\lambda_2,\ldots,\lambda_7\) with \(\lambda_i\geq 1\) \((1\leq i\leq 7)\), the Diophantine inequality \[ |\lambda_1x_1^3+\lambda_2x_2^3+\cdots+\lambda_7x_7^3|
openaire   +2 more sources

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