Publications

Publications:

(1) R. C. Baker, W. D. Banks, Z. V. Guo and A. M. Yeager. Piatetski-Shapiro primes from almost primes. Monatsh. Math. 174 (2014), no. 3, 357-370.
(2) V. Z. Guo. Piatetski-Shapiro primes in a Beatty sequence. J. Number Theory. 156 (2015), 317-330.
(3) W. D. Banks, V. Z. Guo and I. E. Shparlinski. Almost primes of the form [p^c]. Indag. Math. (N.S.) 27 (2016), no. 2, 423-436.
(4) W. D. Banks and V. Z. Guo. An explicit Burgess bound on the least quadratic nonresidue. Int. J. Number Theory. 13 (2017), no. 3, 751-759.

(5) W. D. Banks and V. Z. Guo. Consecutive primes and Beatty sequences. J. Number Theory. 191(2018), 158-174.

(6) V. Z. Guo and A. Weingartner. The practicality of shifted primes. Integers. 18 (2018), Paper No. A93, 8pp.
(7) V. Z. Guo. Almost primes in Piatetski-Shapiro sequences. AIMS Math. 6 (2021), no. 9, 9536-9546.
(8) V. Z. Guo and J. Qi. A Generalization of Piatetski-Shapiro Sequences.  Taiwanese J. Math. 26 (2022), no. 1, 33-47.
(9) J. Qi, V. Z. Guo and Z. Xu. k-th powers in Piatetski-Shapiro sequences. Int. J. Number Theory 18 (2022), no. 8, 1791-1806.
(10) V. Z. Guo, J. Li and M. Zhang. Piatetski-Shapiro primes in the intersection of multiple Beatty sequences. Rocky Mountain J. Math. 2 (2022), no. 4, 1375-1394.

(11) V. Z. Guo, J. Li and M. Zhang. Piatetski-Shapiro primes in arithmetic progressions. Ramanujan J. 60 (2023), no. 3, 677-692.

(12) J. Qi and V. Z. Guo. Square-full numbers in Piatetski-Shapiro sequences. Adv. Math. (China), to appear.

(13) (2) V. Z. Guo, J. Li and M. Zhang. Beatty primes from fractional powers of almost-primes. Indag. Math. (N.S.). to appear.

(14) V. .Z. Guo and Y. Yi. The Lehmer Problem and Beatty Sequences. Bull. Math. Soc. Sci. Math. Roumanie (N.S.). to appear. 

 

Preprints:

(1) V. .Z. Guo and Y. Yi. Consecutive Primes in Piatetski-Shapiro Sequences. Submitted. 

(2) V. Z. Guo and Y. Yi. The Lehmer problem and Piatetski-Shapiro sequences. Submitted.

(3) V. Z. Guo and J. Qi. Carmichael numbers composed of Piatetski-Shapiro primes in Beatty sequences. Submitted.