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math.NT2026
Moments and joint nonvanishing of symplectic -functions
Valentin Blomer, Soumya Das
We compute an asymptotic formula for a moment involving the spinor and the standard -functions for holomorphic Siegel cusp forms of degree two and large weight . Applications…
math.NT2025
A higher rank shifted convolution problem with applications to L-functions
Valentin Blomer, Junxian Li
While several instances of shifted convolution problems for GL(3) x GL(2) have been solved, the case where one factor is the classical divisor function and one factor is a GL(3) Fo…
math.NT2024
Moments of symmetric square L-functions on GL(3)
Valentin Blomer, Félicien Comtat
We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L-functions on GL(3) in the level aspect. As applications, we obtain non…