Research in Number Theory
 Recent Papers in Number Theory


A proof of Selberg's orthogonality for automorphic Lfunctions

To appear in Manuscripta Mathematica, with Jianya Liu and Yonghui Wang..


Improvement to subconvexity bounds for RankinSelberg Lfunctions
of cusp forms

Submitted, with YukKam 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 Lfunctions for GL(2)
over a short interval

To appear in Trans. Amer. Math. Soc.


Selberg's orthogonality conjecture for automorphic Lfunctions

To appear in Amer. J. Math., with Jianya Liu..


Weighted Selberg orthogonality and uniqueness of factorization
of automorphic Lfunctions

Forum Math. 17 (2005), 493512, with Jianya Liu.


Zeros of automorphic $L$functions and noncyclic base change

To appear in the Proceedings of the Third ChinaJapan 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 RankinSelberg $L$functions

To appear in the Proceedings of the RIMS Symposium on Analytic Number
Theory and Surrounding Areas, October 1822, 2004, RIMS
Kokyuroku, with Jianya Liu..


Distribution of zeros of Dirichlet Lfunctions and the least
prime in arithmetic progressions

To appear in Acta Arith., with Jianya Liu.


Subconvexity for RankinSelberg Lfunctions for Maass forms

Geom. Funct. Anal. 12 (2002), 12961323, with Jianya Liu.


Superposition of zeros of distinct Lfunctions

Forum Math. 14 (2002), 419455, with Jianya Liu.


The pair correlation of zeros of the Riemann zeta
function and distribution of primes

Archiv Math. 76 (2001), 4150, with Jianya Liu.
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