Subconvexity for twisted \(L\)-functions over number fields via shifted convolution sums

DOI10.1007/s10474-016-0681-3zbMath1399.11117OpenAlexW2566919297MaRDI QIDQ524166

Péter Maga

Publication date: 25 April 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0681-3

zbMATH Keywords

subconvexityshifted convolution sum

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (8)

Bounds for eigenforms on arithmetic hyperbolic 3-manifolds ⋮ Asymptotic bounds for special values of shifted convolution Dirichlet series ⋮ The spectral decomposition of shifted convolution sums over number fields ⋮ Subconvexity for twisted \(L\)-functions over number fields via shifted convolution sums ⋮ Subconvexity for sup-norms of cusp forms on \(\mathrm{PGL}(n)\) ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field ⋮ Beyond the spherical sup-norm problem

Cites Work

• Subconvexity for twisted \(L\)-functions over number fields via shifted convolution sums
• Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
• Sparse equidistribution problems, period bounds and subconvexity
• On the Ramanujan conjecture over number fields
• The spectral decomposition of shifted convolution sums
• Twisted \(L\)-functions over number fields and Hilbert's eleventh problem
• Fourier coefficients of modular forms of half-integral weight
• Hyperbolic distribution problems and half-integral weight Maass forms
• Bounds for automorphic \(L\)-functions
• Sum formula for \(SL_2\) over a number field and Selberg type estimates for exceptional eigenvalues
• The cubic moment of central values of automorphic \(L\)-functions
• The subconvexity problem for \(\mathrm{GL}_2\)
• Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field
• Upper and lower bounds at \(s=1\) for certain Dirichlet series with Euler product.
• Burgess-like subconvex bounds for \(\mathrm{GL}_{2}\times \mathrm{GL}_{1}\)
• Hyperbolic equidistribution problems on Siegel 3-folds and Hilbert modular varieties
• Estimates for Kloosterman sums for totally real number fields
• A SEMI-ADELIC KUZNETSOV FORMULA OVER NUMBER FIELDS
• A Burgess-like subconvex bound for twisted L-functions
• Beyond Endoscopy and special forms on GL(2)
• On Character Sums and L -Series. II
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