13 citations · 17 across the 3 of their papers we have counts for
3 papers
math.NT2017★ 1 cited
Rational points on the inner product cone via the hyperbola method
Valentin Blomer, Jörg Brüdern
A strong quantitative form of Manin's conjecture is established for a certain variety in biprojective space. The singular integral in an application of the circle method involves t…
math.NT2015★ 13 cited
On the subconvexity problem for L-functions on GL(3)
Valentin Blomer, Jack Buttcane
Let f be a cusp form for the group SL(3, Z) with Langlands parameter mu and associated L-function L(s, f). If mu is in generic position, i.e. away from the Weyl chamber walls and a…
math.NT2008★ 3 cited
Sums of Hecke eigenvalues over quadratic polynomials
Valentin Blomer
Let f(z) = sum_n a(n) n^{(k-1)/2} e(nz) be a cusp form for Gamma_0(N), character chi and weight k geq 4. Let q(x) = x^2 + sx + t be a polynomial with integral coefficients. It is s…