A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations

By William Duke, Emmanuel Kowalski. 2000

139 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/adf61e6af31d0bd40dcc6123a244cb3f43018382

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. Kaisa Matomäki
2. Y. Lau
3. Jie Wu
4. Angel V. Kumchev
5. Glyn Harman

In Geometry and Topology

1. Y. Lau
2. Kaisa Matomäki
3. Jie Wu

In Mathematical Physics

1. Kaisa Matomäki
2. Y. Lau
3. Jie Wu

Citations in the corpus

• On the least quadratic non-residue (2008, background): “In [6], Duke & Kowalski indicated: Let α > 1 be given.”
• On signs of Fourier coefficients of cusp forms (2011, background): “If one requires that λ f1(p) = λ f2(p) for p E , then the conclusion holds for any κ < 1, see Ramakrishnan’s appendix in [4].”