Research in Number Theory

Recent Papers in Number Theory
  • A proof of Selberg's orthogonality for automorphic L-functions

  • To appear in Manuscripta Mathematica, with Jianya Liu and Yonghui Wang..
  • Improvement to subconvexity bounds for Rankin-Selberg L-functions of cusp forms

  • Submitted, with Yuk-Kam Lau and Jianya Liu..
  • Perron's formula and the prime number theorem for automorphic $L$-functions

  • Submitted, with Jianya Liu..
  • The fourth power moment of automorphic L-functions for GL(2) over a short interval

  • To appear in Trans. Amer. Math. Soc.
  • Selberg's orthogonality conjecture for automorphic L-functions

  • To appear in Amer. J. Math., with Jianya Liu..
  • Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions

  • Forum Math. 17 (2005), 493-512, with Jianya Liu.
  • Zeros of automorphic $L$-functions and noncyclic base change

  • To appear in the Proceedings of the Third China-Japan Seminar, Developments in Mathematics, to be published by Kluwer, with Jianya Liu..
  • Petersson and Kuznetsov trace formulas

  • To appear in Lie Groups and Automorphic Forms, to be published by American Mathematical Society and the International Press, with Jianya Liu..
  • The prime number theorem for Rankin-Selberg $L$-functions

  • To appear in the Proceedings of the RIMS Symposium on Analytic Number Theory and Surrounding Areas, October 18-22, 2004, RIMS Kokyuroku, with Jianya Liu..
  • Distribution of zeros of Dirichlet L-functions and the least prime in arithmetic progressions

  • To appear in Acta Arith., with Jianya Liu.
  • Subconvexity for Rankin-Selberg L-functions for Maass forms

  • Geom. Funct. Anal. 12 (2002), 1296-1323, with Jianya Liu.
  • Superposition of zeros of distinct L-functions

  • Forum Math. 14 (2002), 419-455, with Jianya Liu.
  • The pair correlation of zeros of the Riemann zeta function and distribution of primes

  • Archiv Math. 76 (2001), 41-50, with Jianya Liu.