郭振宇
  • 副教授
  • 硕士生导师
  • 电子邮箱:
  • 所在单位:数学与统计学院
  • 学历:博士研究生毕业
  • 办公地点:
  • 性别:
  • 联系方式:
  • 学位:博士
  • 学科:
Publications
当前位置: 中文主页 >> Publications >> 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.