31 citations · 100 across the 28 of their papers we have counts for
5 papers · 2 filters
The circle method and bounds for -functions - IV: Subconvexity for twists of -functions - B
Ritabrata Munshi
Let be a Hecke-Maass cusp form satisfying the Ramanujan conjecture and the Selberg-Ramanujan conjecture, and let be a primitive Dirichlet character modulo…
Pairs of quadrics in 11 variables
Ritabrata Munshi
For non-singular intersections of pairs of quadrics in 11 or more variables, we prove an asymptotic for the number of rational points in an expanding box.
Shifted convolution of divisor function and Ramanujan function
Ritabrata Munshi
We study the shifted convolution sum of the divisor function and the Ramanujan function.
Pairs of diagonal quadratic forms and linear correlations among sums of two squares
T. D. Browning, R. Munshi
For suitable pairs of diagonal quadratic forms in 8 variables we use the circle method to investigate the density of simultaneous integer solutions and relate this to the problem o…
The circle method and bounds for -functions - III: -aspect subconvexity for GL(3) -functions
Ritabrata Munshi
Let be a Hecke-Maass cusp form for . In this paper we will prove the following subconvex bound $$ L(\tfrac{1}{2}+it,π)\ll_{π,\varepsilon} (1+|t|)^{3/4-1/16+\va…