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Perron’s Formula and the Prime Number Theorem for Automorphic L-Functions

- Jianya Liu, Y. Ye
- Mathematics
- 2007

In this paper the classical Perron’s formula is modified so that it now depends no longer on sizes of individual terms but on a sum over a short interval. When applied to automorphic L-functions,… Expand

A General Local Reconstruction Approach Based on a Truncated Hilbert Transform

- Y. Ye, Hengyong Yu, Yuchuan Wei, Ge Wang
- MathematicsInt. J. Biomed. Imaging
- 18 June 2007

TLDR

Resonance between automorphic forms and exponential functions

- Xiumin Ren, Y. Ye
- Mathematics
- 21 June 2010

AbstractLet f be a holomorphic cusp form of weight k for SL2(ℤ) and λf(n) its n-th Fourier coefficient. In this paper, the exponential sum ΣX < n ⩽ 2Xλf(n)e(αnB) twisted by Fourier coefficients λf(n)… Expand

Subconvexity for Rankin-Selberg L-Functions of Maass Forms

- Jianya Liu, Y. Ye
- Mathematics
- 1 December 2002

Abstract.In this paper we prove a subconvexity bound for Rankin–Selberg L-functions
$L(s,f \otimes g)$ associated with a Maass cusp form f and a fixed cusp form g in the aspect of the Laplace… Expand

Distinguished representations and quadratic base change for $GL(3)$

- Hervé Jacquet, Y. Ye
- Mathematics
- 1996

Let E/F be a quadratic extension of number fields. Suppose that every real place of F splits in E and let H be the unitary group in 3 variables. Suppose that Π is an automorphic cuspidal… Expand

Exact Interior Reconstruction from Truncated Limited-Angle Projection Data

- Y. Ye, Hengyong Yu, Ge Wang
- MathematicsInt. J. Biomed. Imaging
- 6 May 2008

Using filtered backprojection (FBP) and an analytic continuation approach, we prove that exact interior reconstruction is possible and unique from truncated limited-angle projection data, if we… Expand

Interior Reconstruction Using the Truncated Hilbert Transform via Singular Value Decomposition.

- Hengyong Yu, Y. Ye, Ge Wang
- MathematicsJournal of X-ray science and technology
- 2008

TLDR

Cone-beam pseudo-lambda tomography

- Y. Ye, Hengyong Yu, Ge Wang
- Mathematics
- 1 February 2007

In this paper, for the first time we define the concept of 3D pseudo-lambda tomography based on the 3D Calderon operator, and formulate an approximate local reconstruction algorithm for cone-beam… Expand

Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions

- Jianya Liu, Y. Ye
- Mathematics
- 25 May 2005

Abstract We prove a weighted version of Selberg’s orthogonality conjecture for automorphic L-functions attached to irreducible cuspidal representations of GLm over ℚ. Using this weighted… Expand

An integral transform and its applications

- Y. Ye
- Mathematics
- 1 September 1994

This was later extended by Deshouillers and Iwaniec [9] and their work was then used by Bombieri et al. [2, 3] to prove some spectacular results in number theory. In an unpublished note Zagier gave a… Expand

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