| Issue |
RAIRO-Theor. Inf. Appl.
Volume 60, 2026
Diophantine Analysis and Related Topics (DART2025Z)
|
|
|---|---|---|
| Article Number | 7 | |
| Number of page(s) | 10 | |
| DOI | https://doi.org/10.1051/ita/2026006 | |
| Published online | 09 March 2026 | |
- I.I. Piatetski-Shapiro, On the distribution of prime numbers in the sequence of the form [f(n)]. Mat. Sb. 33 (1953) 559–566 [Google Scholar]
- J. Rivat and S. Sargos, Nombres premiers de la forme [nc]. Canad. J. Math. 53 (2001) 414–433 [Google Scholar]
- J. Rivat and J. Wu, Prime numbers of the form [nc]. Glasg. Math. J. 43 (2001) 237–254 [Google Scholar]
- L. Guo, V.Z. Guo and L. Lu, The Piatetski-Shapiro prime number theorem. arXiv:2505.10391. [Google Scholar]
- G.I. Arkhipov, Kh.M. Saliba and V.N. Chubarikov, On the sum of values of a multidimensional function of divisors on a sequence of type [nc]. Vestnik Moskow. Univ. Math. Bull. 54 (1999) 28–36 [Google Scholar]
- G. Lu and W. Zhai, The sum of multidimensional divisor functions on a special sequence. Adv. Math. (China) 32 (2003) 660–664 [Google Scholar]
- H. Wang and Y. Zhang, On the divisor function over Piatetski-Shapiro sequences. Czechoslovak Math. J. 73 (148) (2023) 613–620 [Google Scholar]
- D. Leitmann, Durchschnitte von Piatetski-Shapiro Folgen. Monatsh. Math. 94 (1982) 33–44 [Google Scholar]
- E.R. Sirota, Laws for the distribution of primes of the form p = [nc] = [md] in arithmetic progressions. Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov 121 (1983) 94–102 [Google Scholar]
- W.G. Zhai, On the k-dimensional Piatetski-Shapiro prime number theorem. Sci. China Ser. A 42 (1999) 1173–1183 [Google Scholar]
- R.C. Baker, The intersection of Piatetski-Shapiro sequences. Mathematika, 60 (2014) 347–362 [Google Scholar]
- L. Guo, V.Z. Guo and M. Jing, Exponential sums with polynomials and their applications to primes in sparse sets. arXiv:2510.20562. [Google Scholar]
- A. Ivic, The Riemann Zeta function. John Wiley Sons Inc., New York (1985). [Google Scholar]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.
