AVERAGES OF TWISTED -FUNCTIONS

DOI10.1017/S1446788715000142zbMath1327.11034arXiv1204.2253OpenAlexW3102822290MaRDI QIDQ2949828

Andrew H. Knightly, Julia Jackson

Publication date: 2 October 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2253

zbMATH Keywords

\(L\)-functionsmodular formsrelative trace formula

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) 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 (3)

Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves ⋮ Non-vanishing of automorphic \(L\)-functions of prime power level ⋮ Weighted Distribution of Low-lying Zeros of GL(2) -functions

Cites Work

• Nonvanishing of Rankin-Selberg \(L\)-functions for Hilbert modular forms
• Averages of central \(L\)-values of Hilbert modular forms with an application to subconvexity
• Applications of the Petersson formula for a bilinear form in Fourier coefficients of cusp forms
• The critical order of vanishing of automorphic \(L\)-functions with large level
• On the positivity of the central critical values of automorphic \(L\)-functions for \(GL(2)\)
• First moment of Rankin-Selberg central \(L\)-values and subconvexity in the level aspect
• Stable averages of central values of Rankin-Selberg \(L\)-functions: some new variants
• Average values of modular \(L\)-series via the relative trace formula
• On quadratic character twists of Hecke L-functions attached to cusp forms of varying weights at the central point
• Consequences of the Gross–Zagier formulae: Stability of average L-values, subconvexity, and non-vanishing mod p
• On the Error Term in Duke's Estimate for the Average Special Value of L-Functions
• Weighted averages of modular 𝐿-values
• THE DIOPHANTINE EQUATION A⁴ + 2^δB² = Cⁿ
• Galois representations attached to Q-curves and the generalized Fermat equation A 4 + B 2 = C p
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros
• Low lying zeros of families of \(L\)-functions

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