13 citations · 24 across the 8 of their papers we have counts for
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Correlations of values of random diagonal forms
Valentin Blomer, Junxian Li
We study the value distribution of diagonal forms in k variables and degree d with random real coefficients and positive integer variables, normalized so that mean spacing is one.…
Simultaneous equidistribution of toric periods and fractional moments of L-functions
Valentin Blomer, Farrell Brumley
The embedding of a torus into an inner form of PGL(2) defines an adelic toric period. A general version of Duke's theorem states that this period equidistributes as the discriminan…
Uniform Titchmarsh divisor problems
Edgar Assing, Valentin Blomer, Junxian Li
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are uniform in the shift parameter. This applies to more general arithmetic functions…
The relative trace formula in analytic number theory
Valentin Blomer
We discuss a variety of applications of the relative trace formula of Kuznetsov type in analytic number theory and the theory of automorphic forms.
A symplectic restriction problem
Valentin Blomer, Andrew Corbett
We investigate the norm of a degree 2 Siegel modular form of asymptotically large weight whose argument is restricted to the 3-dimensional subspace of its imaginary part. On averag…
Motohashi's fourth moment identity for non-archimedean test functions and applications
Valentin Blomer, Peter Humphries, Rizwanur Khan +1
Motohashi established an explicit identity between the fourth moment of the Riemann zeta function weighted by some test function and a spectral cubic moment of automorphic L-functi…