42 citations · 142 across the 31 of their papers we have counts for
Showing 2006 · math.NTShow all
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math.NT2006★ 1 cited
On the mean values of L-functions in orthogonal and symplectic families
H. M. Bui, J. P. Keating
Hybrid Euler-Hadamard products have previously been studied for the Riemann zeta function on its critical line and for Dirichlet L-functions in the context of the calculation of mo…
math.NT2006★ 1 cited
On the mean values of Dirichlet L-functions
H. M. Bui, J. P. Keating
We study the 2k-th power moment of Dirichlet L-functions L(s,χ) at the centre of the critical strip (s=1/2), where the average is over all primitive characters χ(mod q). We extend…
math.NT2006★ 1 cited
On twin primes associated with the Hawkins random sieve
H. M. Bui, J. P. Keating
We establish an asymptotic formula for the number of k-difference twin primes associated with the Hawkins random sieve, which is a probabilistic model of the Eratosthenes sieve. Th…