zbMath1006.11024MaRDI QIDQ4790111
Henryk Iwaniec
Publication date: 28 January 2003
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Modular functions and the uniform distribution of CM points ⋮
Hilbert class polynomials and traces of singular moduli ⋮
Zero mode of the Fourier series of some modular graphs from Poincaré series ⋮
Pattern formation for the Swift-Hohenberg equation on the hyperbolic plane ⋮
An exponential sum involving Fourier coefficients of eigenforms for \(\mathrm{SL}(2,\mathbb{Z})\) ⋮
Super-zeta functions and regularized determinants associated with cofinite Fuchsian groups with finite-dimensional unitary representations ⋮
Subconvexity for modular form \(L\)-functions in the \(t\) aspect ⋮
Canonical Brownian motion on the space of univalent functions and resolution of Beltrami equations by a continuity method along stochastic flows ⋮
The hyperbolic lattice point problem in conjugacy classes ⋮
Nonvanishing of central \(L\)-values of Maass forms ⋮
Bounding sup-norms of cusp forms of large level ⋮
Arithmetic statistics of modular symbols ⋮
Hecke operators on period functions for \(\Gamma _0(n)\) ⋮
Exponential sums with Fourier coefficients of automorphic forms ⋮
\(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series ⋮
Geometric invariants for real quadratic fields ⋮
Generalized Dedekind sums and equidistribution mod 1 ⋮
Subconvexity bounds for Rankin-Selberg \(L\)-functions for congruence subgroups ⋮
Quantum gravity partition functions in three dimensions ⋮
\(L\)-functions of second-order cusp forms ⋮
Partially localized quasimodes in large subspaces ⋮
Non-split sums of coefficients of \(\mathrm{GL}(2)\)-automorphic forms ⋮
Partial zeta functions ⋮
On triple correlations of Fourier coefficients of cusp forms ⋮
Gaussian distributions of Kloosterman sums: vertical and horizontal ⋮
Determination of cusp forms by central values of Rankin-Selberg \(L\)-functions ⋮
Remarks on a conjecture of Lang ⋮
Sup-norm bounds for Eisenstein series ⋮
Kontsevich-Zagier integrals for automorphic Green's functions. I ⋮
The quantum unique ergodicity conjecture for thin sets ⋮
Hyperbolic prime number theorem ⋮
Spectral large sieve inequalities for Hecke congruence subgroups of \(\mathrm{SL}(2,\mathbb{Z}[i)\)] ⋮
An algorithm for the computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces ⋮
Non-vanishing of Taylor coefficients and Poincaré series ⋮
Period integrals and Rankin-Selberg \(L\)-functions on \(\mathrm{GL}(n)\) ⋮
On a variance of Hecke eigenvalues in arithmetic progressions ⋮
Bounds for the spectral mean value of central values of \(L\)-functions ⋮
Subconvexity for half integral weight \(L\)-functions ⋮
On some exponential sums involving Maass forms over arithmetic progressions ⋮
The asymptotic distribution of traces of Maass-Poincaré series ⋮
On the wave representation of hyperbolic, elliptic, and parabolic Eisenstein series ⋮
Mass equidistribution of Hilbert modular eigenforms ⋮
Geometric counting on wavefront real spherical spaces ⋮
Thermalization after holographic bilocal quench ⋮
The fourth moment of Dirichlet \(L\)-functions ⋮
Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions ⋮
Turing's method for the Selberg zeta-function ⋮
The prime geodesic theorem in square mean ⋮
Triple correlations of ternary divisor functions ⋮
Landau levels on the hyperbolic plane in the presence of Aharonov-Bohm fields ⋮
Geodesic restrictions for the Casimir operator ⋮
Bifurcation of hyperbolic planforms ⋮
Joint quasimodes, positive entropy, and quantum unique ergodicity ⋮
Equidistribution of cusp forms in the level aspect ⋮
Quantum topologically massive gravity in de Sitter space ⋮
Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces ⋮
Partition functions for quantum gravity, black holes, elliptic genera and Lie algebra homologies ⋮
Explicit calculations with Eisenstein series ⋮
Noncongruence subgroups and Maass waveforms ⋮
Hybrid sup-norm bounds for Hecke-Maass cusp forms ⋮
Lyapunov exponents for surface group representations ⋮
First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\) ⋮
On divisors of modular forms ⋮
On the appearance of Eisenstein series through degeneration ⋮
A note on shifted convolution of cusp-forms with \(\theta\)-series ⋮
A scattering approach to a surface with hyperbolic cusp ⋮
On the Kuznetsov trace formula for \(\operatorname{PGL}_2(\mathbb{C})\) ⋮
Remark on the paper ``On products of Fourier coefficients of cusp forms ⋮ Perspectives on mock modular forms ⋮ Poincaré series, 3D gravity and CFT spectroscopy ⋮ Hybrid subconvexity for class group \(L \)-functions and uniform sup norm bounds of Eisenstein series ⋮ The first moment of Salié sums ⋮ Additive twists of Fourier coefficients of modular forms ⋮ Estimates of automorphic \(L\)-functions in the discriminant-aspect ⋮ Numbers in a given set with (or without) a large prime factor ⋮ Sup-norm and nodal domains of dihedral Maass forms ⋮ Beyond endoscopy for the Rankin-Selberg \(L\)-function ⋮ Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus ⋮ Distribution of Maass of holomorphic cusp forms ⋮ The arithmetic Riemann-Roch theorem and the Jacquet-Langlands correspondence ⋮ Hyperbolic lattice-point counting and modular symbols ⋮ Discreteness and integrality in conformal field theory ⋮ Equidistribution of Heegner points and the partition function ⋮ The least prime number represented by a binary quadratic form ⋮ The fourth moment of individual Dirichlet \(L\)-functions on the critical line ⋮ On the distribution of the \(a\)-values of the Selberg zeta-function associated to finite volume Riemann surfaces ⋮ The second moment of sums of coefficients of cusp forms ⋮ Short geodesic loops and \(L^p\) norms of eigenfunctions on large genus random surfaces ⋮ Quantum unique ergodicity for Eisenstein series in the level aspect ⋮ The average value of Fourier coefficients of cusp forms in arithmetic progressions ⋮ One-loop BPS amplitudes as BPS-state sums ⋮ Rankin-Selberg methods for closed strings on orbifolds ⋮ Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups ⋮ The spectral decomposition of \(|\theta |^2\) ⋮ Generalized Eisenstein functions ⋮ Transition mean values of shifted convolution sums ⋮ Unipotent vector bundles and higher-order non-holomorphic Eisenstein series ⋮ Integral mean values of modular \(L\)-functions ⋮ Eisenstein quasimodes and QUE ⋮ A local large sieve inequality for cusp forms
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