The polynomial captures its primes.
Asymptotic sieve for primes.
Maximal Sets of Integers with Small Common Divisors.
On the number of ideals free from large prime divisors.
Integers without large prime factors, II
On the irrationality of a divisor function series.
Moments of Sifted Sequences.
Small values of zeta-functions of quadratic fields.
Limitations to the equi-distribution of primes III
On Bombieri's asymptotic sieve
Ternary quadratic forms with rational zeros
We consider the Legendre quadratic forms and, in particular, a question posed by J–P. Serre, to count the number of pairs of integers , for which the form has a non-trivial rational zero. Under certain mild conditions on the integers , we are able to find the asymptotic formula for the number of such forms.
An Arithmetic Characterization of the Rational Homotopy Groups of Certain Spaces.
Some doubly exponential sums over ℤₘ
Coincidences in the values of the Euler and Carmichael functions
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