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Hyperbolic distribution problems and half-integral weight Maass forms
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Introduction to Elliptic Curves and Modular Forms
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Introduction to Elliptic Curves and Modular Forms
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Lectures on the Theory of Algebraic Numbers
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Elliptic modular functions : an introduction
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Ergodic Properties of Algebraic Fields
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Formulas and Theorems for the Special Functions of Mathematical Physics
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�ber eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichlet scher Reihen durch Funktionalgleichungen
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Indefinite quadratische formen und funktionentheorie I
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Über die räumliche Verteilung der Punkte in Gittern mit indefiniter Metrik
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Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II
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Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene, I
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Thetareihen positiv definiter quadratischer Formen
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Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series
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A classical Diophantine problem and modular forms of weight 3/2
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Fourier coefficients of modular forms of half-integral weight
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Fourier coefficients of modular forms of half-integral weight
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Theta-series associated with indefinite ternary quadratic forms and the related Dirichlet series
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Summation formulas for general Kloosterman sums
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Die Wirkung der Modulsubstitutionen auf mehrfache Thetareihen zu quadratischen Formen ungerader Variablenzahl
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The Selberg Trace Formula for PSL(2,ℝ)
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Relations between automorphic forms produced by theta-functions
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Additive number theory and maass forms
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Uniform distribution of integral points on 3-dimensional spheres via modular forms
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Class numbers of indefinite binary quadratic forms
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Class numbers of indefinite binary quadratic forms II
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On theta functions associated to indefinite quadratic forms
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Arithmetic behaviour of the sums of three squares
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Table of Integrals, Series, and Products
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Modular forms of half integral weight and the integral of certain theta-functions
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On construction of holomorphic cusp forms of half integral weight
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Groups of units of zero ternary quadratic forms
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PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
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Roots of quadratic congruences and eigenvalues of the non-Euclidean Laplacian
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On the estimation of Fourier coefficients of modular forms
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On Character Sums and L -Series. II
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Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series
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The Average Measure of Quadratic Forms With Given Determinant and Signature
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On Modular Forms of Half Integral Weight
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Table of Integrals, Series and Products.
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Table of Integrals, Series, and Products.
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Some Dirichlet series with coefficients related to periods of automorphic eigenforms
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On the analytic theory of quadratic forms
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Yu. V. Linnik's ergodic method in number theory
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Über die Gleichverteilung von Gitterpunkten auf m-dimensionalen Ellipsoiden
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An arithmetic problem on the sums of three squares
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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inferred← citeshttps://doi.org/10.1090/conm/649/13028openalex-snapshot
When the Modular World Becomes Non-Holomorphic
inferred← citeshttps://doi.org/10.1090/conm/661/13287openalex-snapshot
Local Statistics of Lattice Points on the Sphere
inferred← citeshttps://doi.org/10.1090/conm/669/13430openalex-snapshot
Symbolic dynamics, automorphic functions, and Selberg zeta functions with unitary representations
inferred← citeshttps://doi.org/10.1090/conm/732/14794openalex-snapshot
An algebraic and analytic approach to spinor exceptional behavior in translated lattices
inferred← citeshttps://doi.org/10.1090/crmp/036/10openalex-snapshot
Some recent results about (ternary) quadratic forms
inferred← citeshttps://doi.org/10.1090/mcom/3206openalex-snapshot
On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring
inferred← citeshttps://doi.org/10.1090/proc/17722openalex-snapshot
Boundary CM points and class groups of small exponent
inferred← citeshttps://doi.org/10.1090/pspum/104/01873openalex-snapshot
Some recents advances on Duke’s equidistribution theorems
inferred← citeshttps://doi.org/10.1090/s0002-9947-2010-05290-0openalex-snapshot
On almost universal mixed sums of squares and triangular numbers
inferred← citeshttps://doi.org/10.1090/s0025-5718-08-02129-7openalex-snapshot
Computation of Maass waveforms with nontrivial multiplier systems
inferred← citeshttps://doi.org/10.1090/s0273-0979-03-00995-9openalex-snapshot
Riemann’s zeta function and beyond
inferred← citeshttps://doi.org/10.1090/s0273-0979-1993-00414-2openalex-snapshot
On the passage from local to global in number theory
inferred← citeshttps://doi.org/10.1090/s0894-0347-2013-00779-1openalex-snapshot
Bounds for Rankin–Selberg integrals and quantum unique ergodicity for powerful levels
inferred← citeshttps://doi.org/10.1090/tran/7779openalex-snapshot
Nodal area distribution for arithmetic random waves
inferred← citeshttps://doi.org/10.1090/tran/8438openalex-snapshot
On the almost universality of ⌊𝑥²/𝑎⌋+⌊𝑦²/𝑏⌋+⌊𝑧²/𝑐⌋
inferred← citeshttps://doi.org/10.1090/tran/8780openalex-snapshot
Quantum variance for dihedral Maass forms
inferred← citeshttps://doi.org/10.1093/imrn/rnab238openalex-snapshot
Voronoï Summation for Half-Integral Weight Automorphic Forms
inferred← citeshttps://doi.org/10.1093/imrn/rnac225openalex-snapshot
Variance Estimates in Linnik’s Problem
inferred← citeshttps://doi.org/10.1093/imrn/rnm065openalex-snapshot
Asymptotics for Sums of Central Values of Canonical Hecke L-Series
inferred← citeshttps://doi.org/10.1093/imrn/rnp053openalex-snapshot
Representing Sets with Sums of Triangular Numbers
inferred← citeshttps://doi.org/10.1093/imrn/rnt132openalex-snapshot
On Linnik's Conjecture: Sums of Squares and Microsquares
inferred← citeshttps://doi.org/10.1093/imrn/rnw226openalex-snapshot
The Number of Nodal Components of Arithmetic Random Waves
inferred← citeshttps://doi.org/10.1093/imrn/rnw234openalex-snapshot
Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group
inferred← citeshttps://doi.org/10.1093/imrn/rnx026openalex-snapshot
Averaging over Heegner Points in the Hyperbolic Circle Problem
inferred← citeshttps://doi.org/10.1093/imrn/rnx220openalex-snapshot
Random Waves On $\mathbb T^3$: Nodal Area Variance and Lattice Point Correlations
inferred← citeshttps://doi.org/10.1093/imrn/rny267openalex-snapshot
Random Eigenfunctions on Flat Tori: Universality for the Number of Intersections
inferred← citeshttps://doi.org/10.1103/physreva.109.022231openalex-snapshot
Exact quantum revivals for the Dirac equation
inferred← citeshttps://doi.org/10.1103/physrevb.68.092511openalex-snapshot
Number theory implications on the physical properties of elementary cubic networks of Josephson junctions
inferred← citeshttps://doi.org/10.1112/blms.12780openalex-snapshot
Beltrami fields and knotted vortex structures in incompressible fluid flows
inferred← citeshttps://doi.org/10.1112/blms.12804openalex-snapshot
A two‐dimensional arithmetic André–Oort problem
inferred← citeshttps://doi.org/10.1112/jlms.12333openalex-snapshot
A lower bound for the volumes of complements of periodic geodesics
inferred← citeshttps://doi.org/10.1112/jlms.12810openalex-snapshot
Planes in Z4$\mathbb {Z}^4$ and Eisenstein series
inferred← citeshttps://doi.org/10.1112/jlms/jdq009openalex-snapshot
A generalized Kohnen-Zagier formula for Maass forms
inferred← citeshttps://doi.org/10.1112/s0010437x0500148xopenalex-snapshot
equidistribution de mesures algébriques
inferred← citeshttps://doi.org/10.1112/s0010437x06002259openalex-snapshot
Central values of Rankin $L$-series over real quadratic fields
inferred← citeshttps://doi.org/10.1112/s0010437x09004011openalex-snapshot
Independence of points on elliptic curves arising from special points on modular and Shimura curves, II: local results
inferred← citeshttps://doi.org/10.1112/s0010437x09004102openalex-snapshot
Uniformly Diophantine numbers in a fixed real quadratic field
inferred← citeshttps://doi.org/10.1112/s0010437x10005051openalex-snapshot
Sur le rang des courbes elliptiques sur les corps de classes de Hilbert
inferred← citeshttps://doi.org/10.1112/s0010437x13007033openalex-snapshot
Subconvexity and equidistribution of Heegner points in the level aspect
inferred← citeshttps://doi.org/10.1112/s0010437x19007309openalex-snapshot
Burgess-like subconvexity for
inferred← citeshttps://doi.org/10.1112/s0010437x22007795openalex-snapshot
Equidistribution of Hodge loci II
inferred← citeshttps://doi.org/10.1112/s0010437x23007704openalex-snapshot
There are at most finitely many singular moduli that are S -units
inferred← citeshttps://doi.org/10.1112/s0025579318000517openalex-snapshot
CLASS NUMBER ONE FROM ANALYTIC RANK TWO
inferred← citeshttps://doi.org/10.1112/tlm3.70013openalex-snapshot
Explicit height estimates for CM curves of genus 2
inferred← citeshttps://doi.org/10.1134/s1064562419020285openalex-snapshot
Hooley’s Problem on Representations of a Number as the Sum of a Square and a Product
inferred← citeshttps://doi.org/10.1137/040618916openalex-snapshot
Lattice points on circles and discrete velocity models for the Boltzmann equation
inferred← citeshttps://doi.org/10.1137/s0036142995289007openalex-snapshot
A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
inferred← citeshttps://doi.org/10.1142/9789814324359_0024openalex-snapshot
Equidistribution in Homogeneous Spaces and Number Theory
inferred← citeshttps://doi.org/10.1142/9789814324359_0119openalex-snapshot
Applications of Measure Rigidity of Diagonal Actions
inferred← citeshttps://doi.org/10.1142/s0218216523500633openalex-snapshot
Periods of continued fractions and volumes of modular knots complements
inferred← citeshttps://doi.org/10.1142/s1793042110002831openalex-snapshot
REPRESENTATIONS OF INTEGERS BY TERNARY QUADRATIC FORMS
inferred← citeshttps://doi.org/10.1142/s1793042110003757openalex-snapshot
ARITHMETIC PROPERTIES OF TRACES OF SINGULAR MODULI ON CONGRUENCE SUBGROUPS
inferred← citeshttps://doi.org/10.1142/s1793042112500273openalex-snapshot
A NOTE ON THE VARIANCE OF THE DISTRIBUTION OF HEEGNER POINTS
inferred← citeshttps://doi.org/10.1142/s1793042112501199openalex-snapshot
RÉPARTITION GALOISIENNE D'UNE CLASSE D'ISOGÉNIE DE COURBES ELLIPTIQUES
inferred← citeshttps://doi.org/10.1142/s1793042113500632openalex-snapshot
ON THE FOURIER COEFFICIENTS OF MODULAR FORMS OF HALF-INTEGRAL WEIGHT
inferred← citeshttps://doi.org/10.1142/s1793042126500399openalex-snapshot
Eisenstein series twisted Shintani zeta functions
inferred← citeshttps://doi.org/10.1155/imrn/2006/53864openalex-snapshot
Evil primes and superspecial moduli
inferred← citeshttps://doi.org/10.1186/s40687-015-0040-yopenalex-snapshot
Rankin–Selberg L-functions and the reduction of CM elliptic curves
inferred← citeshttps://doi.org/10.1214/20-ejp457openalex-snapshot
Restriction of 3D arithmetic Laplace eigenfunctions to a plane
inferred← citeshttps://doi.org/10.1215/00127094-1645711openalex-snapshot
The asymptotic distribution of traces of cycle integrals of the j-function
inferred← citeshttps://doi.org/10.1215/00127094-2009-010openalex-snapshot
Independence of points on elliptic curves arising from special points on modular and Shimura curves, I: Global results
inferred← citeshttps://doi.org/10.1215/00127094-2009-023openalex-snapshot
Distribution of periodic torus orbits on homogeneous spaces
inferred← citeshttps://doi.org/10.1215/00127094-2010-058openalex-snapshot
Large values of eigenfunctions on arithmetic hyperbolic surfaces
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