Maosheng Xiong

Associate Professor
Dept. Mathematics
HKUST,
Clear Water Bay, Kowloon

Email: mamsxiong@ust.hk

Phone: 2358-7456
Office: 3477

           

Education and Professional Experience


Research Interests


Publications

  1. K. Feng and M. Xiong, On elliptic curves $y^2=x^3-n^2x$ with rank zero, J. Number Theory 109 (2004), no. 1, 1--26. fx.pdf
  2. M. Xiong and A. Zaharescu, A problem of Erdos-Szusz-Turan on Diophantine approximation, Acta Arith. 125 (2006), no. 2, 163--177. xz1.pdf
  3. E. Alkan, M. Xiong and A. Zaharescu, Local spacings along curves, J. Math. Anal. Appl. 329 (2007), no. 1, 721--735. axz1.pdf
  4. E. Alkan, M. Xiong and A. Zaharescu, Arithmetic mean of differences of Dedekind sums, Monatsh. Math. 151 (2007), no. 3, 175--187. axz3.pdf
  5. E. Alkan, M. Xiong and A. Zaharescu, A bias phenomenon on the behavior of Dedekind sums, Math. Res. Lett. 15 (2008), no. 5, 1039--1052.
  6. E. Alkan, M. Xiong, A. Zaharescu, Quotients of values of the Dedekind Eta function, Math. Ann. 342 (2008), no. 1, 157--176. axz5.pdf
  7. M. Xiong, A. Zaharescu, Distribution of Selmer groups of quadratic twists of a family of elliptic curves, Adv. Math. 219 (2008), no. 2, 523--553. xz3.pdf
  8. M. Xiong, A. Zaharescu, Pair correlation of rationals with prime denominators, J. Number Theory, 12 (2008), no. 10, 2795--2807. xz5.pdf
  9. M. Xiong, The Erdös-Kac theorem for polynomials of several variables, Proc. Amer. Math. Soc. 137 (2009), no. 8, 2601--2608. x1.pdf
  10. M. Xiong and A. Zaharescu, Selmer groups and Tate-Shafarevich groups for the congruent number problem, Comment. Math. Helv. 84 (2009), no. 1, 21--56. xz2.pdf
  11. E. Alkan, M. Xiong, A. Zaharescu, Pair correlation of torsion points on elliptic curves, J. Math. Anal. Appl. 356 (2009), no. 2, 752--763. axz22.pdf
  12. Nicholas Katz, I.E. Shparlinski, M. Xiong, On character sums with distances on the upper half plane over a finite field, Finite Fields Appl. 15 (2009), no. 6, 738--747. sx.pdf
  13. A. Iosevich, I.E. Shparlinski and M. Xiong, Sets with integral distances in finite fields, Trans. Amer. Math. Soc. 362 (2010), no. 4, 2189--2204. isx.pdf
  14. E. Alkan, A. Zaharescu, M. Xiong, Pair correlation of sums of rationals with bounded height, J. Reine Angew. Math. 641 (2010), 21--67. axz2.pdf
  15. M. Xiong, Statistics of the zeros of zeta functions in a family of curves over a finite field, International Mathematics Research Notices IMRN, 2010, 30 pages. x42.pdf
  16. M. Xiong, The fluctuations in the number of points on a family of curves over a finite field, J. Theor. Nombres Bordeaux 22 (2010), no. 3, 755--769. x3.pdf
  17. M. Xiong, A. Zaharescu, Correlation of fractions with divisibility constraints, Math. Nachr. 284 (2011), no. 2-3, 393--407. xz4.pdf
  18. M. Xiong, A. Zaharescu, k-full integers between successive k-th powers, Indag. Math. 22 (2011), no. 1-2, 77--86.
  19. M. Xiong, A. Zaharescu, Statistics of the Jacobians of hyperelliptic curves over finite fields, Math. Res. Lett. 19 (2012), no. 2, 255--272.
  20. K. Feng, M. Xiong, On Selmer groups and Tate-Shafarevich groups for elliptic curves $y^2=x^3-n^3$, Mathematika 58 (2012), no. 2, 236--274.
  21. M. Xiong, A. Zaharescu, Pair correlation of latrice points with prime constraint, Acta Arith. 154 (2012), 29--43.
  22. M. Xiong, On Selmer groups of quadratic twists of elliptic curves with a two-torsion over Q, Mathematika 59 (2013), no. 2, 303--319.
  23. M. Xiong, The weight distributions of a class of cyclic codes, Finite Fields Appl. 18 (2012), 933--945.
  24. M. Xiong, The weight distributions of a class of cyclic codes II, Des. Codes Cryptogr. 72 (2014), no. 3, 511--528.
  25. M. Xiong, The weight distributions of a class of cyclic codes III, Finite Fields Appl. 21 (2013), 84--96.
  26. J. Yang, M. Xiong, C. Ding, J. Luo, Weight distribution of a class of cyclic codes with arbitrary number of zeros, IEEE Trans. Infor. Theory 59 (2013), no. 9, 5989--5993.
  27. Z. Zhou, A. Zhang, C. Ding, M. Xiong, The weight enumerator of three families of cyclic codes, IEEE Trans. Infor. Theory 59 (2013), no. 9, 6002--6009.
  28. C. Ding, K. Feng, R. Feng, M. Xiong, A. Zhang, Unit time-phase signal sets: Bounds and constructions, Cryptogr. Commun. 5 (2013), no. 9, 209--222.
  29. C. Ding, Q. Wang, M. Xiong, Three new families of zero-difference balanced functions with applications. IEEE Trans. Infor. Theory 60 (2014), 2407--2413.
  30. J.Xia and M. Xiong, On a question of Babadi and Tarokh, IEEE Trans. Infor. Theory 60 (2014), no. 11, 7355--7367.
  31. M. Xiong, On positive proportion of rank zero twists of elliptic curves over Q, J. Aust. Math. Soc. 98 (2015), no. 2, 281--288. 
  32. M. Xiong, Distribution of zeta zeroes for abelian covers of algebraic curves over a finite field, J. Number Theory 147 (2015), 789--823.
  33. J. Yang, M. Xiong, L. Xia, Weight distributions of a class of cyclic codes with arbitrary number of nonzeros in quadratic case, Finite Fields Appl. 36 (2015), 41--62.
  34. M. Xiong, N. Li, Z. Zhou, C. Ding, Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes, to appear in Des. Codes Cryptogr. DOI 10.1007/s10623-014-0027-5.
  35. M. Xiong, N. Li, Optimal cyclic codes with generalized Niho type zeroes and the weight distribution, IEEE Trans. Inform. Theory 61 (2015), no. 9, 4914--4922.

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