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Faculty

Lixia Dai Professor

Bio: 

Educational Background

  • PhD, Mathematics , Nanjing Normal University  (2006)
  • MA, Mathematics , Nanjing Normal University (2003)
  • BA, Mathematics , Nanjing Normal University (2000)

 

Professional Experiences 

  • Lecturer, School of Mathematical Sciences, Nanjing Normal University, 2006-2009.
  • Associate Professor, School of Mathematical Sciences, Nanjing Normal University, 2009-2016.
  • Prefessor, School of Mathematical Sciences, Nanjing Normal University, 2016-.

 

Research

Research Interests

Additive number theory；Analytic Number Theory

Research Projects

  1. Some Problems in Analytic Number Theory (Grant No. 2006101XGQ0128), Young Scholars Foundation of Nanjing Normal University, Leader, from 2006-12 to 2008-12 .
  2. Some Problems in Combinatorial Number Theory (Grant No. 08KJB11007), Leader, National Natural Foundation of the Jiangsu Higher Education Institutions of China, from 2008-9 to 2010-12.
  3. Some Problems in Combinatorial Number Theory (Grant No. 10801075), Leader, National Natural Science Foundation for Young Scholars of China, from 2009-1 to 2011-12.
  4. Erdos Problems, Quadratic Number Fields and Other Problems in Number Theory (Grant No. 10771103 ), Participant, National Natural Science Foundation of China, from 2008-1 to 2010-12.
  5. Additive Combinatorics and q-Congruence (Grant No. 11271185 ), Participant, National Natural Science Foundation of China, from 2013-1 to 2016-12.
  6. Erdos-Fuchs Problem, Odd Perfect Numbers and Other Problems in Number Theory (Grant No. 11541174 ), Leader, National Natural Science Foundation of China, from 2016-1 to 2019-12.

 

Journal Articles

  1. Li-Xia Dai, Xue-Gong Sun, Yong-Gao Chen，The squarefree numbers in an arithmetic progression,J. Nanjing Normal University. 6(2004), 12-15.
  2. Li-Xia Dai, Yong-Gao Chen,On harmonic sequences.Publ. Math. Debrecen 66(2005), no.3-4, 407-416.
  3. Yong-Gao Chen, Li-Xia Dai,Congruences with factorials modulo p.Integers: Electronic J. Comb. Number Theory 6(2006), A21.
  4. Li-Xia Dai, Yong-Gao Chen,Sequences with bounded l.c.m. of each pair of terms II.Acta Arith. 124(2006), 315-326.
  5. Li-Xia Dai, Yong-Gao Chen,A note on perfect totient numbers,J. Northeast Normal University. 39(2007), 17-19.
  6. Yong-Gao Chen，Li-Xia Dai,Sequences with bounded l.c.m. of each pair of terms, III.Acta Arith. 128(2007), 125-133.
  7. Li-Xia Dai，Yong-Gao Chen,On the parity of the partition function.J. Number Theory 122(2007), 283-289.
  8. Li-Xia Dai,Congruences with factorials modulo p II J. Nanjing Normal University 31(2008), 33-36.
  9. Li-Xia Dai, Hao Pan,Note on the h-th power means of distinct prime divisors of composite positive integers, Applied Mathematics Letters 24 (2011),1486-1490.
  10. Li-Xia Dai, Yong-Gao Chen,On the counting function of Stanley sequences,Publ. Math. Debrecen, 82 (2013), 91-95.
  11. Li-Xia Dai, Hao Pan,Note on the odd multiperfect numbers,Bull. Aust. Math. Soc., 87 (2013), 448-451.
  12. Li-Xia Dai, Hao Pan,The additive complements of primes and goldbach’s problem,Acta Arith., 162 (2014), 209-221.
  13. Li-Xia Dai, Hao Pan,Inverse Erdos-Fuchs theorem for k-fold sumsets,J. Number Theory, 140 (2014), 1-12.
  14. Li-Xia Dai, Yong-Gao Chen,On two problems of Ljujic and Nathanson, C. R. Acad. Sci. Paris, Ser. I 354(2016), 235-238.

 

Academic Title

Reviewer of Mathematical Reviews》, since 2006.

 

Contact 

Phone：+86 13851954615

Email:lilidainjnu@163.com, 05371@njnu.edu.cn