Spectral moment formulae for $GL(3)\times GL(2)L$-functions. III: The twisted case

DOI10.1007/S00208-024-02914-9MaRDI QIDQ6663179

Publication date: 14 January 2025

Published in: Mathematische Annalen (Search for Journal in Brave)

Other groups and their modular and automorphic forms (several variables) (11F55) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

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A short proof of Levinson's theorem
The fourth moment of Dirichlet $L$-functions
Bounds for $\mathrm{GL}(3) \times \mathrm{GL}(2)$ $L$-functions and $\mathrm{GL}(3)$ $L$-functions
Automorphic forms on GL(3,${\mathbb{R}})$
Moments of zeta and correlations of divisor-sums. III.
Spectral mean values of Maass waveform $L$-functions
An explicit formula for the fourth power mean of the Riemann zeta- function
A trace formula for the scalar product of Hecke series and its applications
On sums of Hecke series in short intervals
Nonvanishing of central $L$-values of Maass forms
Uniform subconvexity and symmetry breaking reciprocity
High moments of the Estermann function
On the moments of Hecke series at central points
More than one third of zeros of Riemann's zeta-function are on $\sigma=1/2$
Kloosterman sums and a mean value for Dirichlet polynomials
The sixth power moment of Dirichlet $L$-functions
Moments of $L$-functions and the Liouville-Green method
Mean values of long Dirichlet polynomials with higher divisor coefficients
Breaking the $\frac{1}{2}$-barrier for the twisted second moment of Dirichlet $L$-functions
A quadratic divisor problem and moments of the Riemann zeta-function
On the subconvexity problem for $\mathrm{GL}(3)\times\mathrm{GL}(2)$ $L$-functions
The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial
Additive twists and a conjecture by Mazur, Rubin and Stein
The cubic moment of automorphic $L$-functions in the weight aspect
Moments of zeta and correlations of divisor-sums. IV
The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
Twisted moments of $L$-functions and spectral reciprocity
The fourth moment of central values of Hecke series
On the reciprocity law for the twisted second moment of Dirichlet $L$-functions
Moments of Zeta and Correlations of Divisor-Sums: II
Critical zeros of Dirichlet $L$-functions
Moments of zeta and correlations of divisor-sums: I
Determination of GL(3) Cusp Forms by Central Values of GL(3) x GL(2) L-functions
The reciprocity law for the twisted second moment of Dirichlet L-functions
Power mean-values for Dirichlet's polynomials and the Riemann zeta-function, II
[https://portal.mardi4nfdi.de/wiki/Publication:3382241 The sixth moment of the Riemann zeta function and ternary additive divisor sums]
Voronoi formulas on GL(n)
The twisted fourth moment of the Riemann zeta function
Barnes' Second Lemma and its Application to Rankin-Selberg Convolutions
More than two fifths of the zeros of the Riemann zeta function are on the critical line.
LEVEL RECIPROCITY IN THE TWISTED SECOND MOMENT OF RANKIN–SELBERG ‐FUNCTIONS
Periods and Reciprocity I
Motohashi’s fourth moment identity for non-archimedean test functions and applications
Mollification of the fourth moment of Dirichlet $L$-functions
Integral moments of L-functions
Automorphic Forms and L-Functions for the GroupGL(n, R)
Moments of zeta and correlations of divisor‐sums: V
The non-vanishing of central values of automorphic $L$-functions and Landau-Siegel zeros
Averages of long Dirichlet polynomials with modular coefficients
The fourth moment of Dirichlet $L$-functions at the central value
Spectral reciprocity via integral representations

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Spectral moment formulae for \(GL(3)\times GL(2)L\)-functions. III: The twisted case