Prime numbers as values of nested Beatty sequences

被引：0

作者：

Akbal, Yildirim ^{[1
]}

机构：

[1] TED Univ, Grad Sch Appl Data Sci, TR-06420 Ankara, Turkiye

来源：

关键词：

Beatty sequences; Prime numbers; Exponential sums;

D O I：

10.1007/s11139-024-00870-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that under certain conditions, nested Beatty sequences assume infinitely many prime values.

引用

页码：1303 / 1322

页数：20

共 13 条

[1] EXPONENTIAL-SUMS OVER PRIMES IN AN ARITHMETIC-PROGRESSION
BALOG, A
PERELLI, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 93 (04) : 578 - 582
[2] PRIME NUMBERS WITH BEATTY SEQUENCES
Banks, William D.
Shparlinski, Igor E.
[J]. COLLOQUIUM MATHEMATICUM, 2009, 115 (02) : 147 - 157
[3] BEATTY S., 1926, AM MATH MON, V33, P159
[4] BEATTY S., 1927, AM MATH MON, V34, P159, DOI [10.2307/2298716, DOI 10.2307/2298716]
[5] THE LOCALISATION OF PRIMES IN ARITHMETIC PROGRESSIONS OF IRRATIONAL MODULUS
Bruedern, Joerg
Kawada, Koichi
[J]. COLLOQUIUM MATHEMATICUM, 2011, 123 (01) : 53 - 61
[6] Davenport D H., 2000, Grad. Texts in Math., V74
[7] Graham S. W., 1991, CORPUTS METHOD EXPON, V126, DOI 10.1017/CBO9780511661976
[8] The metric theory of diophantic approximations.
Khintchine, A.
[J]. MATHEMATISCHE ZEITSCHRIFT, 1926, 24 : 706 - 714
[9] Korobov N.M., 1958, Usp. Mat. Nauk, V13, P185
[10] About an expansion of Goldbach's problem
Rademacher, H
[J]. MATHEMATISCHE ZEITSCHRIFT, 1926, 25 : 627 - 657