Bounds for automorphic L–functions. III

By William Duke, John B. Friedlander, Henryk Iwaniec. 2001

66 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9cb98919ccfaad2e8b6b726e785c04846c637c37

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. V. Blomer
2. R. Munshi
3. Akshay Venkatesh
4. P. Michel
5. Gergely Harcos
6. M. Young
7. W. Schmid
8. Stephen D. Miller

In Discrete Mathematics and Combinatorics

1. V. Blomer
2. P. Michel
3. Akshay Venkatesh
4. Gergely Harcos
5. R. Munshi
6. Stephen D. Miller
7. W. Schmid
8. Peter Sarnak

In Mathematical Physics

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

Citations in the corpus

• The subconvexity problem for GL2 (2009, background): “1.3. Remark. The bound generalizes (up to the value of ) a variety of subconvex bounds [Wey21, Bur63, HB78, Goo82, Meu90, DFI93 , DFI94, Sar01, FI01, Ivi01, DFI02,KMV02,LY02,Mic04,Blo05,JM05,HM06,BHM07,BH,Ven06b,DG].”
• Automorphic distributions, L-functions, and Voronoi summation for GL(3) (2004, background): “The Voronoi summation formula for GL(2) has become a fundamental analytic tool for a number of deep results in analytic number theory, most notably to the sub-convexity problem for automorphic L-functions; see [18] for a survey, as well as [10, 21,32].”
• Twisted L-Functions Over Number Fields and Hilbert’s Eleventh Problem (2009, methodology): “[ DFI , BHM]) in order to detect the summation condition.”
• The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II (2006, methodology): “in the q-aspect! This kind of subconvexity problem was solved by Duke-Friedlander-Iwaniec [ DFI1 ] (when the fixed form is holomorphic) more than ten years ago as one of the first applications of the amplification method.”