Simultaneous equidistribution of toric periods and fractional moments of \(L\)-functions

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

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Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
Sparse equidistribution problems, period bounds and subconvexity
Distribution of periodic torus orbits and Duke's theorem for cubic fields
Moments of the Riemann zeta function
Twisted \(L\)-functions over number fields and Hilbert's eleventh problem
A sieve method for shifted convolution sums
Distribution of periodic torus orbits on homogeneous spaces
Representations of ternary quadratic forms and the class number of imaginary quadratic fields
Fourier coefficients of modular forms of half-integral weight
Hyperbolic distribution problems and half-integral weight Maass forms
Test vectors for linear forms
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L-series of Rankin type and their functional equations
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Joint equidistribution of CM points
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Bump functions with monotone Fourier transforms satisfying decay bounds
Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level
Quantum unique ergodicity for half-integral weight automorphic forms
Test vectors and central \(L\)-values for \(\mathrm{GL}(2)\)
Joinings of higher rank torus actions on homogeneous spaces
Local-global principles for representations of quadratic forms
Integer points on spheres and their orthogonal lattices
Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
Quaternion Algebras
Reflection Principles and Bounds for Class Group Torsion
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