The asymptotic distribution of traces of Maass-Poincaré series

DOI10.1016/j.aim.2010.11.001zbMath1270.11045OpenAlexW2095738938MaRDI QIDQ626128

Amanda Folsom, Riad Masri

Publication date: 22 February 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.11.001

zbMATH Keywords

asymptotic distributionFourier coefficientstracesCM pointsMaass-Poincaré series

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture ⋮ Some remarks on Hurwitz-Kronecker class numbers and traces of singular moduli ⋮ On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono ⋮ A generalized cubic moment and the Petersson formula for newforms ⋮ Nonvanishing of Hecke \(L\)-functions for CM fields and ranks of Abelian varieties ⋮ Equidistribution of Heegner points and the partition function ⋮ Effective bounds for traces of singular moduli

Cites Work

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• Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture
• Gross-Zagier formula for \(\text{GL}_ 2\).
• Fourier coefficients and modular forms of half-integral weight
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Modular functions and the uniform distribution of CM points
• Hilbert class polynomials and traces of singular moduli
• The subconvexity problem for Rankin-Selberg \(L\)-functions and equidistribution of Heegner points. II
• Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series
• Equidistribution of Heegner points and the partition function
• Integral traces of singular values of weak Maass forms
• Heegner points and derivatives of \(L\)-series
• Heegner points and derivatives of \(L\)-series. II
• Automorphic forms with singularities on Grassmannians
• Lattices and strings
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On the expansion of the partition functions in a series
• Hybrid bounds for twisted L-functions
• Fourier coefficients of the resolvent for a Fuchsian group.
• A class of nonanalytic automorphic functions
• ARITHMETIC TRACES OF NON-HOLOMORPHIC MODULAR INVARIANTS
• An arithmetic formula for the partition function
• Lifting cusp forms to Maass forms with an application to partitions
• AN INTRODUCTION TO THE LINNIK PROBLEMS
• What is moonshine

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