Results 121 to 130 of about 175 (143)
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On Some Nonlinear Diophantine Inequalities with Primes
Mathematical Notes, 2019\textit{S. A. Gritsenko} and \textit{Nguen Tkhi Cha} [Nauchn. Vedomosti BelGU Ser. Mat. Fiz. 23 (29), 202 (2012)] showed that if \(H\geq \sqrt{N}\exp(\ln^{-0.1}N)\), then the inequality \[ |p_1^2+p_2^2-H|\le H \] is solvable in primes \(p_1,p_2\). As in improvement, in the present paper the author shows, that if \(H\geq N^{31/64+\varepsilon}\), then ...
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A ternary Diophantine inequality with prime numbers of a special form
Periodica Mathematica Hungarica, 2021Min Zhang, Jinjiang Li
exaly
A quaternary Diophantine inequality with prime numbers of a special form
Ramanujan Journal, 2023Jinjiang Li, , Li Jinjiang
exaly
Two Diophantine Inequalities over Primes with Fractional Power
Frontiers of Mathematics, 2023Huafeng Liu, Liu Huafeng
exaly
A ternary Diophantine inequality by primes with one of the form $$p=x^2+y^2+1$$
Ramanujan Journal, 2022exaly
On a Diophantine inequality involving prime numbers
Ramanujan Journal, 2019Yingchun Cai, Cai Yingchun
exaly
A quinary diophantine inequality by primes with one of the form $$\varvec{p=x^2+y^2+1}$$
Indian Journal of Pure and Applied Mathematics, 2022exaly
On a binary Diophantine inequality involving prime numbers
Ramanujan Journal, 2020Yingchun Cai, Cai Yingchun
exaly

