Autors: Dimitrov, S. I.
Title: A quinary diophantine inequality by primes with one of the form p=x2+y2+1
Keywords: Bombieri – Vinogradov type result, Diophantine inequality, Exponential sum, Primes

Abstract: In this paper we show that, for any fixed 10, the diophantine inequality (Formula presented.) has a solution in prime numbers p1,p2,p3,p4,p5, such that p1=x2+y2+1.

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Issue

Indian Journal of Pure and Applied Mathematics, vol. 55, pp. 168-188, 2024, , https://doi.org/10.1007/s13226-022-00354-2

Цитирания (Citation/s):
1. Liu Y., On a quinary Diophantine inequality involving one prime of the special form, 2025, Ramanujan Journal, issue 2, vol. 66, DOI 10.1007/s11139-025-01027-4, issn 13824090, eissn 15729303 - 2025 - в издания, индексирани в Scopus и/или Web of Science
2. Liu Y., A Diophantine equation involving one Linnik prime, 2025, Czechoslovak Mathematical Journal, issue 0, DOI 10.21136/CMJ.2024.0372-24, issn 00114642, eissn 15729141 - 2025 - в издания, индексирани в Scopus и/или Web of Science
3. 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 и/или Web of Science
4. 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
5. 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 издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science