The asymptotic distribution of traces of cycle integrals of the \(j\)-function
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Publication:442760
DOI10.1215/00127094-1645711zbMath1287.11060OpenAlexW1974155392MaRDI QIDQ442760
Publication date: 4 August 2012
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.dmj/1340801629
Related Items (7)
The average of the divisor function over values of a quadratic polynomial ⋮ Values of modular functions at real quadratics and conjectures of Kaneko ⋮ On the distribution of modular square roots of primes ⋮ Modular invariants for real quadratic fields and Kloosterman sums ⋮ Cycle integrals of the \(j\)-function on Markov geodesics ⋮ Perspectives on mock modular forms ⋮ A continuity of cycle integrals of modular functions
Cites Work
- Cycle integrals of the \(j\)-function and mock modular forms
- A connection of the sum of Salié sums with the distribution of integral points on hyperboloids
- Modular functions and the uniform distribution of CM points
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- Hyperbolic distribution problems and half-integral weight Maass forms
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- The distribution of closed geodesics on the modular surface, and Duke's Theorem
- The variance of arithmetic measures associated to closed geodesics on the modular surface
- Weyl Sums for Quadratic Roots
- Hybrid bounds for twisted L-functions
- HYBRID BOUNDS FOR DIRICHLET L-FUNCTIONS II
- AN INTRODUCTION TO THE LINNIK PROBLEMS
- Central values of Rankin $L$-series over real quadratic fields
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