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) 53 (2024), no. 2, 303–309.

(13) V. Z. Guo, J. Li and M. Zhang. Beatty primes from fractional powers of almost-primes. Indag. Math. (N.S.). 34 (2023), no. 6, 1254–1270.

(14) V. Z. Guo and Y. Yi. The Lehmer Problem and Beatty Sequences. Bull. Math. Soc. Sci. Math. Roumanie (N.S.). 67 (115), no. 4, 2024, 471–482. 

(15) V. Z. Guo, J. Qi and M. Jing. Squares in a Beatty sequence and an improvement on character sums. Ramanujan J. 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. Article

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

(4) L. Guo, V. Z. Guo and L. Lu. An analog to the Goldbach problem and the twin prime conjecture. Submitted.

(5) J. Qi. and V. Z. Guo. The $k$-fold divisor function over Beatty sequences. Submitted.