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Your search keyword '"Dimitrov, Stoyan"' showing total 8 results
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8 results on '"Dimitrov, Stoyan"'

6. On an equation by primes with one Linnik prime.

Author

Dimitrov, Stoyan Ivanov

Subjects
*EQUATIONS, *DIOPHANTINE equations, *EXPONENTIAL sums, *INTEGERS
Abstract

Let [ ⋅ ] be the floor function. In this paper, we prove that if 1 < c < 16559 15276 , then every sufficiently large positive integer N can be represented in the form N = [ p 1 c ] + [ p 2 c ] + [ p 3 c ] , where p 1 , p 2 , p 3 are primes, such that p 1 = x 2 + y 2 + 1 . [ABSTRACT FROM AUTHOR]

Published
2022
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7. On an Equation with Prime Numbers Close to Squares.

Author

Dimitrov, Stoyan I.

Subjects
SQUARE, EQUATIONS, DIOPHANTINE equations, EXPONENTIAL sums, INTEGERS
Abstract

Let [ · ] be the fioor function. In this paper, we show that when 1 < c < 37/36, then every sufficiently large positive integer N can be represented in the form N = P 1 c + P 2 c + P 3 c , where p1, p2, p3 are primes close to squares. [ABSTRACT FROM AUTHOR]

Published
2022
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8. The quaternary Piatetski-Shapiro inequality with one prime of the form p = x2 + y2 + 1.

Author

Dimitrov, Stoyan Ivanov

Subjects
*PRIME numbers, *EXPONENTIAL sums, *DIOPHANTINE approximation
Abstract

In this paper, we show that for any fixed 1 < c < 967/805, every sufficiently large positive number N, and a small constant 휀 > 0, the Diophantine inequality p 1 c + p 2 c + p 3 c + p 4 c − N < ε has a solution in prime numbers p1, p2, p3, p4,such that p1 = x2 + y2 + 1. [ABSTRACT FROM AUTHOR]

Published
2022
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