Rizwanur Khan

activity

20082026

most citedDistribution of mass of holomorphic cusp forms

150 citations · 332 across the 28 of their papers we have counts for

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math.NT2008★ 5 cited

The second moment of Dirichlet twists of Hecke $L$ -functions

Peng Gao, Rizwanur Khan, Guillaume Ricotta

Fix a Hecke cusp form $f$ , and consider the $L$ -function of $f$ twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus $q$ , what i…

math.NT2008★ 36 cited

Non-vanishing of the symmetric square $L$ -function at the central point

Rizwanur Khan

Using the mollifier method, we show that for a positive proportion of holomorphic Hecke eigenforms of level one and weight bounded by a large enough constant, the associated symmet…

math.NT2008★ 2 cited

Spacings between integers having typically many prime factors

Rizwanur Khan

We show that the sequence of integers which have nearly the typical number of distinct prime factors forms a Poisson process. More precisely, for $\de$ arbitrarily small and positi…

The second moment of Dirichlet twists of Hecke L-functions

Non-vanishing of the symmetric square L-function at the central point

Spacings between integers having typically many prime factors

The second moment of Dirichlet twists of Hecke $L$ -functions

Non-vanishing of the symmetric square $L$ -function at the central point