33 citations · 44 across the 10 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.NT2013★ 2 cited
Weighted fourth moments of Hecke zeta functions with groessencharacters
Nigel Watt
We use recently obtained bounds for sums of Kloosterman sums to bound the sum $\sum_{-D\leq d\leq D} \int_{-D}^D |ζ(1/2+it,λ^d)|^4| \sum_{0<|μ|^2\leq M} A(μ)λ^d((μ)) |μ|^{-2it}|^2…
math.NT2013★ 2 cited
Weighted spectral large sieve inequalities for Hecke congruence subgroups of SL(2,Z[i])
Nigel Watt
We prove new bounds for weighted mean values of sums involving Fourier coefficients of cusp forms that are automorphic with respect to a Hecke congruence subgroup Γ=Γ_0(q) of the g…
math.NT2013★ 5 cited
Spectral large sieve inequalities for Hecke congruence subgroups of SL(2,Z[i])
Nigel Watt
We prove, in respect of an arbitrary Hecke congruence subgroup Γ=Γ_0(q_0) of the group SL(2,Z[i]), some new upper bounds (or `spectral large sieve inequalities') for sums involving…