13 citations · 21 across the 11 of their papers we have counts for
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math.NT2006
Pretentious multiplicative functions and an inequality for the zeta-function
Andrew Granville, K. Soundararajan
We note how several central results in multiplicative number theory may be rephrased naturally in terms of multiplicative functions that pretend to be another multiplicative fu…
math.NT2006
Lattice points on circles, squares in arithmetic progressions and sumsets of squares
Javier Cilleruelo, Andrew Granville
Rudin conjectured that there are never more than c N^(1/2) squares in an arithmetic progression of length N. Motivated by this surprisingly difficult problem we formulate more than…
math.NT2006★ 3 cited
Sieving and the Erd{\H o}s-Kac theorem
Andrew Granville, K. Soundararajan
We give a relatively easy proof of the Erd\H os-Kac theorem via computing moments. We show how this proof extends naturally in a sieve theory context, and how it leads to several r…