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Xian-Jin Li

Professor
Permanent Faculty

Office: 216 TMCB

Teaching Schedule Fall 2025

Office Hours
  • MWF 3-3:50pm in 216 TMCB
ClassMATH 314 Section 004MWF 1-1:50pm111 TMCB
MATH 352 Section 001MWF 2-2:50pm112 TMCB

Research Interests:


Analytic Number Theory

Degrees:

Hunan Normal University, China, BS in Mathematics (1982)
Chinese Academy of Sciences, Beijing, MS in Mathematics (1986)
Purdue University, PhD in Mathematics (1993)

Publications:

  1. On Euler's product of Dedekind zeta function, International Journal of Number Theory, 5 (2009), 293-301.
  2. A transformation of Hankel type on the field of p-adic numbers, JP Journal of Algebra, Number Theory and Applications, 12 (2009), 205-229.
  3. On the Euler product of some zeta functions, Combinatorial Number Theory, (2009), 77-99.
  4. A generalization of A. Connes’ trace formula, Journal of Number Theory, 130(2) (2010), 386-430.
  5. An adelic Hankel summation formula, Journal of Number Theory, 130(3) (2010), 738-766.
  6. A spectral interpretation for the explicit formula in the theory of prime numbers, Science China Mathematics, 53(3) (2010), 791-812.
  7. Prolate spheroidal wave functions, Sonine spaces, and the Riemann zeta function, , J. Math. Anal. Appl.. 389(1), 2012, pp. 379-393.
  8. On the Explicit Formula in the Theory of Prime Numbers, Int. J. Number Theory. 8(3), 2012, pp. 589-597.