Projects per year
Abstract
We explore an idea of Conrey and Li of expressing the Selberg trace formula asa Dirichlet series. We describe two applications, including an interpretation of the Selbergeigenvalue conjecture in terms of quadratic twists of certain Dirichlet series, and a formulafor an arithmetically weighted sum of the complete symmetric square L-functions associatedto cuspidal Maass newforms of squarefree level N > 1.
| Original language | English |
|---|---|
| Pages (from-to) | 519-542 |
| Number of pages | 24 |
| Journal | Forum Mathematicum |
| Volume | 29 |
| Issue number | 3 |
| Early online date | 12 Jul 2016 |
| DOIs | |
| Publication status | Published - May 2017 |
Fingerprint
Dive into the research topics of 'The Selberg trace formula as a Dirichlet series'. Together they form a unique fingerprint.Projects
- 2 Finished
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Detecting squarefree numbers
Booker, A. R. (Principal Investigator)
1/07/13 → 1/07/15
Project: Research
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Explicit number theory, automorphic forms and L-functions
Booker, A. R. (Principal Investigator)
1/10/09 → 1/04/15
Project: Research
Profiles
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Dr M Lee
- School of Mathematics - Lecturer and Royal Society University Research Fellow
- Pure Mathematics
Person: Academic , Member