Autors: Dimitrov, S. I.
Title: On an equation with prime numbers close to squares
Keywords: Diophantine equation, Prime, Exponential sum

Abstract: Let [ · ] be the floor 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 p_1 , p_2 , p_3 are primes close to squares.

References

    Issue

    , vol. 59, issue 2, pp. 116 -- 123, 2022, Hungary, Studia Sci. Math. Hungar., https://doi.org/10.1556/012.2022.01522

    Цитирания (Citation/s):
    1. J. Li, M. Zhang, F. Xue, On a ternary Diophantine equation involving fractional powers with prime variables of a special form, Ramanujan J. (ISSN: 1382-4090 (print), ISSN: 1572-9303 (online)), vol. 58, 4, (2022), 1171 -- 1199, (https://doi.org/10.1007/s11139-021-00517-5). - 2022 - в издания, индексирани в Scopus и/или Web of Science

    Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus