... and therefore the rightmost sum herevanishes unless q1= 1. This is the case precisely if q0= q, which means that(q, m) = 1 and q is Q-smooth. In this case, the sum is s( mod q)(q,ms+b)=1e(as/q).Set ... which allows us to pass from the continuous setting in resultssuch as (1.1) – that is to say, T – to the discrete, namely Z/NZ.Finally, we would like to remark that it is possible, indeed probable, ... primes. The idea of constructing a1, and the technique for constructing it, hasits origins in the notions of granularization as used in a paper of I.Z. Ruzsaand the author [9]. In the present...