Autors: Dimitrov, S. I.
Title: , A ternary diophantine inequality over special primes
Keywords: Rosser's weights, vector sieve, circle method, almost p

Abstract: Let 10 and a small constant ϑ>0, the inequality |p_1^c+p_2^c+p_3^c-N|<ϑ has a solution in prime numbers p_1, p_2, p_3 such that, for each i ∈ {1,2,3}, p_i+2 has at most 29 prime factors.

References

    Issue

    JP Journal of Algebra, Number Theory and Applications, vol. 39, issue 3, pp. 335 -- 368, 2017, India, http://dx.doi.org/10.17654/NT039030335

    Цитирания (Citation/s):
    1. J. Li, F. Xue, M. Zhang, A ternary Diophantine inequality with prime numbers of a special form, Period. Math. Hungar. ( ISSN: 0031-5303 (print), ISSN: 1588-2829 (online) ), (2021), ( https://doi.org/10.1007/s10998-021-00415-9). - 2021 - в издания, индексирани в Scopus и/или Web of Science
    2. 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) ), (2021), (https://doi.org/10.1007/s11139-021-00517-5). - 2021 - в издания, индексирани в Scopus и/или Web of Science
    3. Zhu L., On a ternary diophantine inequality with prime numbers of a special type II, 2025, Periodica Mathematica Hungarica, issue 1, vol. 90, pp. 35-56, DOI 10.1007/s10998-024-00602-4, issn 00315303, eissn 15882829 - 2025 - в издания, индексирани в Scopus и/или Web of Science
    4. J. Li, F. Xue, M. Zhang, A quaternary Diophantine inequality with prime numbers of a special form, Ramanujan J. (ISSN: 1382-4090 (print), ISSN: 1572-9303 (online)), vol. 63, 2, (2024), 259 -- 291, (https://doi.org/10.1007/s11139-023-00700-w). - 2024 - в издания, индексирани в Scopus и/или Web of Science
    5. Liu Y., On a Diophantine equation involving one Linnik prime, 2025, Ramanujan Journal, issue 2, vol. 68, DOI 10.1007/s11139-025-01191-7, issn 13824090, eissn 15729303 - 2025 - в издания, индексирани в Scopus и/или Web of Science
    6. Hu L., Liu F., Liu S., An equation involving prime numbers and one Linnik prime, 2025, Ramanujan Journal, issue 3, vol. 67, DOI 10.1007/s11139-025-01114-6, issn 13824090, eissn 15729303 - 2025 - в издания, индексирани в Scopus и/или Web of Science
    7. Liu Y., On a ternary Diophantine inequality with one prime of the form p=x2+y2+1, 2025, Ramanujan Journal, issue 1, vol. 66, pp. 1-16, DOI 10.1007/s11139-024-00986-4, issn 13824090, eissn 15729303 - 2025 - в издания, индексирани в Scopus
    8. Liu Y., Huang J., A Diophantine inequality with one prime of the form p = m 2+ n 2+, 2026, RAIRO Theoretical Informatics and Applications, issue 0, vol. 60, DOI 10.1051/ita/2026002, eissn 28047346 - 2026 - в издания, индексирани в Scopus
    9. Liu, YK, Huang, J, A Diophantine inequality with one prime of the form p = m2 + n2+1, RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS, vol 60, 2026, issn: 0988-3754, eissn: 2804-7346, art_no: ARTN 4, doi: 10.1051/ita/2026002 - 2026 - в издания, индексирани в Web of Science

    Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus и Web of Science