24 citations · 107 across the 26 of their papers we have counts for
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math.NT2007★ 5 cited
The number of imaginary quadratic fields with a given class number
K. Soundararajan
We investigate the number ${\Cal F}(h)$ of imaginary quadratic fields with class number . We establish an asymptotic formula for the average value of ${\Cal F}(h)$. We also esta…
math.NT2007
The distribution of smooth numbers in arithmetic progressions
K. Soundararajan
For a wide range of and we show that ${\Cal S}(x,y)$, the set of integers below composed only of prime factors below , is equidistributed in the reduced residue clas…