Geometric invariants for real quadratic fields
From MaRDI portal
Publication:338429
DOI10.4007/annals.2016.184.3.8zbMath1372.11056OpenAlexW2520783889MaRDI QIDQ338429
Özlem Imamoḡlu, William Duke, Árpad Tóth
Publication date: 4 November 2016
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: http://real.mtak.hu/62299/1/Geometric-Invariants--resubmit.pdf
Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11) Class numbers, class groups, discriminants (11R29)
Related Items (15)
A symplectic restriction problem ⋮ The variance of closed geodesics in balls and annuli on the modular surface ⋮ Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms ⋮ Shintani correspondence for Maass forms of level \(N\) and prehomogeneous zeta functions ⋮ The Katok-Sarnak formula for higher weights ⋮ Effective estimates for traces of singular moduli ⋮ Error approximation for backwards and simple continued fractions ⋮ Modular invariants for real quadratic fields and Kloosterman sums ⋮ Bounds for twisted symmetric square L-functions via half-integral weight periods ⋮ Genus character L‐functions of quadratic orders and class numbers ⋮ Hybrid subconvexity for class group \(L \)-functions and uniform sup norm bounds of Eisenstein series ⋮ Quantum unique ergodicity for half-integral weight automorphic forms ⋮ Kronecker's first limit formula, revisited ⋮ Hybrid subconvexity and the partition function ⋮ Eisenstein series of even weight 𝑘≥2 and integral binary quadratic forms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cycle integrals of the \(j\)-function and mock modular forms
- Die Funktionalgleichungen einiger Dirichletscher Reihen
- Über die räumliche Verteilung der Punkte in Gittern mit indefiniter Metrik. (On the spatial distribution of the points in lattices with indefinite metric)
- Fourier coefficients and modular forms of half-integral weight
- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- On Petersson products of not necessarily cuspidal modular forms
- Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
- Fourier coefficients of modular forms of half-integral weight
- Hyperbolic distribution problems and half-integral weight Maass forms
- Sur les coefficients de Fourier des formes modulaires de poids demi-entier
- Values of L-series of modular forms at the center of the critical strip
- Bounds for automorphic \(L\)-functions
- Heegner points, cycles and Maass forms
- The cubic moment of central values of automorphic \(L\)-functions
- Coding of closed geodesics after Gauss and Morse
- Sums of Kloosterman sums
- A Kronecker limit formula for real quadratic fields
- Hilbert modular surfaces
- The distribution of closed geodesics on the modular surface, and Duke's Theorem
- Kloosterman sums and traces of singular moduli
- Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
- On Poincaré's theorem for fundamental polygons
- L-Series, modular imbeddings, and signatures
- On modular forms of half integral weight
- Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets
- Weyl Sums for Quadratic Roots
- Computation of Maass waveforms with nontrivial multiplier systems
- On Character Sums and L-Series†
- Effective computation of Maass cusp forms
- Hybrid bounds for twisted L-functions
- A generalized Kohnen-Zagier formula for Maass forms
- On construction of holomorphic cusp forms of half integral weight
- Fourier coefficients of the resolvent for a Fuchsian group.
- Cycle integrals of Maass forms of weight 0 and Fourier coefficients of Maass forms of weight 1/2
- A class of nonanalytic automorphic functions
- On the evaluation of Salié sums
- The Modular Groups of Hilbert and Siegel
- Grenzkreisgruppen und kettenbruchartige Algorithmen
- Class numbers of indefinite binary quadratic forms
This page was built for publication: Geometric invariants for real quadratic fields
