LAUSR

A ternary Diophantine inequality with prime numbers of a special form

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1 Published in 2021 at "Periodica Mathematica Hungarica"

DOI: 10.1007/s10998-021-00415-9

Abstract: Let N be a sufficiently large real number. In this paper, we prove that, for $$1 read more here.

Keywords: ternary diophantine; diophantine; inequality prime; diophantine inequality ... See more keywords

Diophantine inequality involving binary forms

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0 Published in 2017 at "Frontiers of Mathematics in China"

DOI: 10.1007/s11464-017-0602-y

Abstract: AbstractLet d ⩾ 3 be an integer, and set r = 2d−1 + 1 for 3 ⩽ d ⩽ 4, $$\tfrac{{17}} {{32}} \cdot 2^d + 1$$1732⋅2d+1 for 5 ⩽ d ⩽ 6, r = d2+d+1… read more here.

Keywords: left right; inequality involving; involving binary; diophantine inequality ... See more keywords

One Diophantine inequality with unlike powers of prime variables

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0 Published in 2017 at "International Journal of Number Theory"

DOI: 10.1142/s1793042117500853

Abstract: Let k be an integer with k ≥ 4 and η be any real number. Suppose that λ1,λ2,λ3,λ4,λ5 are nonzero real numbers, not all of the same sign and λ1/λ2 is irrational. It is proved… read more here.

Keywords: diophantine inequality; one diophantine; inequality unlike; inequality ... See more keywords

A ternary Diophantine inequality involving primes

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0 Published in 2018 at "International Journal of Number Theory"

DOI: 10.1142/s1793042118501361

Abstract: Let 1 < c < 43 36. In this paper, it is proved that for every sufficiently large real number N, the Diophantine inequality |p1c + p 2c + p 3c − N| < N−… read more here.

Keywords: ternary diophantine; diophantine; inequality involving; diophantine inequality ... See more keywords

A Diophantine inequality with four prime variables

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0 Published in 2019 at "International Journal of Number Theory"

DOI: 10.1142/s1793042119500982

Abstract: Let [Formula: see text] be a sufficiently large real number. In this paper, it is proved that, for [Formula: see text], the following Diophantine inequality [Formula: see text] is solvable in prime variables [Formula: see… read more here.

Keywords: inequality; prime variables; inequality four; formula see ... See more keywords