A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight
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Publication:6204182
DOI10.1007/s00605-023-01921-3MaRDI QIDQ6204182
Olga G. Balkanova, Dmitriy A. Frolenkov
Publication date: 27 March 2024
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
(zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05) Automorphic forms, one variable (11F12)
Cites Work
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- Double Dirichlet series and quantum unique ergodicity of weight one-half Eisenstein series
- The circle method and bounds for \(L\)-functions. IV: Subconvexity for twists of \(\mathrm{GL}(3)\) \(L\)-functions
- Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
- Modular forms of half-integral weight on \(\Gamma_0(4)\)
- Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
- Subconvexity for half integral weight \(L\)-functions
- Voronoi summation formulae on \(\mathrm{GL}(n)\)
- Jacobi Maaß forms
- Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes
- The mean square of Dirichlet series associated with automorphic forms
- The subconvexity problem for Artin \(L\)-functions
- Functional equations for Hecke-Maass series
- Subconvexity for modular form \(L\)-functions in the \(t\) aspect
- The mean value of symmetric square \(L\)-functions
- Rankin-Selberg \(L\)-functions in the level aspect.
- Distribution of Maass of holomorphic cusp forms
- A symplectic restriction problem
- A converse theorem for double Dirichlet series and Shintani zeta functions
- The second moment of \(\mathrm{GL} (4) \times \mathrm{GL} (2)\) \(L\)-functions at special points
- A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\)
- Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
- On modular forms of half integral weight
- Twisted moments of \(L\)-functions and spectral reciprocity
- Voronoï summation via switching cusps
- Computation of Maass waveforms with nontrivial multiplier systems
- Voronoi formulas on GL(n)
- The Voronoi Formula for GL(n, R)
- Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group
- A general Voronoi summation formula for GL(n,Z)
- On the Voronoĭ formula for GL(<i>n</i>)
- The prime geodesic theorem
- Voronoï summation for GLn: collusion between level and modulus
- Sums of Kloosterman sums in the prime geodesic theorem
- The Balanced Voronoi Formulas for $\textrm{GL}(n)$
- The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions
- A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) ‐FUNCTIONS
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