Autors: Dimitrov, S. I.
Title: Diophantine approximation with one prime of the form p=x^2+y^2+1
Keywords: diophantine approximation, primes

Abstract: Let ε>0 be a small constant. In the present paper we prove that whenever η is real and constants λ_i satisfy some necessary conditions, then there exist infinitely many prime triples p_1, p_2, p_3 satisfying the inequality |λ_1 p_1 + λ _2 p_2 + λ_3 p_3+η|< ε and such that p_3=x^2 + y^2 +1.



    Lith. Math. J., vol. 61, issue 4, 2021, Lithuania, DOI

    Вид: пленарен доклад в международен форум, публикация в издание с импакт фактор