150 citations · 332 across the 28 of their papers we have counts for
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math.NT2015★ 12 cited
Nonvanishing of Dirichlet L-functions
Rizwanur Khan, Hieu T. Ngo
We show that for at least 3/8 of the primitive Dirichlet characters of large prime modulus, the central value does not vanish.
math.NT2015★ 9 cited
The divisor function in arithmetic progressions modulo prime powers
Rizwanur Khan
We study the average value of the divisor function for with . The divisor function is known to be evenly distributed over arithmetic progression…
math.NT2015★ 5 cited
Non-vanishing of Dirichlet L-functions in Galois orbits
Rizwanur Khan, Djordje Milićević, Hieu T. Ngo
A well known result of Iwaniec and Sarnak states that for at least one third of the primitive Dirichlet characters to a large modulus q, the associated L-functions do not vanish at…