A Burgess-like subconvex bound for twisted L-functions

By V. Blomer, Gergely Harcos, P. Michel, Z. Mao. 2007

95 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0fe4c584a3ea850e6980a8a26b3ef75c052bc7e7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. R. Munshi
2. V. Blomer
3. Gergely Harcos
4. P. Michel
5. M. Young
6. Peter Sarnak
7. Akshay Venkatesh
8. A. Ubis

In Geometry and Topology

1. V. Blomer
2. R. Munshi
3. Gergely Harcos
4. M. Young
5. Akshay Venkatesh
6. P. Michel
7. Frank Calegari
8. Shou-wu Zhang

In Mathematical Physics

1. R. Munshi
2. V. Blomer
3. Gergely Harcos
4. P. Michel
5. M. Young
6. Akshay Venkatesh
7. Peter Sarnak
8. A. Ubis

Citations in the corpus

• The spectral decomposition of shifted convolution sums (2007, methodology): “In the general case variants of the circle method with the Kloosterman refinement have been particularly successful [DFI1, DFI2, Ju2, Ha2, HM, Bl, BHM ].”
• The circle method and bounds for L-functions---II: Subconvexity for twists of GL(3) L-functions (2012, methodology): “The first subconvex bound in theM aspect (for t = 0) was obtained by Duke, Friedlander and Iwaniec [7] (for holomorphic forms of full level), Bykovskii [4] (for general holomorphic forms) and later by Harcos [9], Michel [15] and Blomer, Harcos and Michel [3] (for Maass forms).”