Power sums of Hecke eigenvalues and application

By Jie Wu. 2008

86 citations recorded by the source corpus.

We sharpen some estimates of Rankin on power sums of Hecke eigenvalues, by using Kim & Shahidi's recent results on higher order symmetric powers. As an application, we improve Kohnen, Lau & Shparlinski's lower bound for the number of Hecke eigenvalues of same signs.

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

View Paper: https://www.semanticscholar.org/paper/804eaae0e8cf62260dbd95155b644bcfa21784b3

How researchers see this paper

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In Algebra and Number Theory

1. Y. Lau
2. Kannan Soundararajan
3. Jie Wu
4. Emmanuel Kowalski
5. Paul D. Nelson
6. Adam J Harper
7. M. Young
8. Kaisa Matomäki

In Geometry and Topology

1. Y. Lau
2. Kannan Soundararajan
3. Jie Wu
4. Emmanuel Kowalski
5. Adam J Harper
6. Christoph Aistleitner
7. P. Bourgade
8. Maksym Radziwill

In Mathematical Physics

1. Y. Lau
2. Kannan Soundararajan
3. Jie Wu
4. Emmanuel Kowalski
5. Paul D. Nelson
6. Kaisa Matomäki
7. M. Young
8. P. Michel

Citations in the corpus

• On modular signs (2009, background): “[18, 26]) could be helpful to solve this optimization problem.”