Research in Number Theory
- Recent Papers in Number Theory
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A proof of Selberg's orthogonality for automorphic L-functions
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To appear in Manuscripta Mathematica, with Jianya Liu and Yonghui Wang..
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Improvement to subconvexity bounds for Rankin-Selberg L-functions
of cusp forms
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Submitted, with Yuk-Kam Lau and Jianya Liu..
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Perron's formula and the prime number theorem for automorphic $L$-functions
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Submitted, with Jianya Liu..
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The fourth power moment of automorphic L-functions for GL(2)
over a short interval
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To appear in Trans. Amer. Math. Soc.
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Selberg's orthogonality conjecture for automorphic L-functions
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To appear in Amer. J. Math., with Jianya Liu..
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Weighted Selberg orthogonality and uniqueness of factorization
of automorphic L-functions
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Forum Math. 17 (2005), 493-512, with Jianya Liu.
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Zeros of automorphic $L$-functions and noncyclic base change
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To appear in the Proceedings of the Third China-Japan Seminar,
Developments in Mathematics, to be published by Kluwer,
with Jianya Liu..
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Petersson and Kuznetsov trace formulas
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To appear in Lie Groups and Automorphic Forms, to be published by
American Mathematical Society and the International Press,
with Jianya Liu..
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The prime number theorem for Rankin-Selberg $L$-functions
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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..
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Distribution of zeros of Dirichlet L-functions and the least
prime in arithmetic progressions
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To appear in Acta Arith., with Jianya Liu.
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Subconvexity for Rankin-Selberg L-functions for Maass forms
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Geom. Funct. Anal. 12 (2002), 1296-1323, with Jianya Liu.
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Superposition of zeros of distinct L-functions
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Forum Math. 14 (2002), 419-455, with Jianya Liu.
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The pair correlation of zeros of the Riemann zeta
function and distribution of primes
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Archiv Math. 76 (2001), 41-50, with Jianya Liu.
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