non zero complex values variable ' 's'' form ' 's'' nbsp nbsp nbsp nbsp ''it'' ''t'' nbsp nbsp modern times biggest technical change development ' 'sieve methods'' particularly multiplicative problems combinatorial nature quite varied extremal branch combinatorial theory return greatly influenced value placed analytic number theory quantitative upper lower bounds another recent development ''probabilistic number theory'' uses methods probability theory estimate distribution number theoretic functions many prime divisors
Formal science Mathematics Pure mathematics Number theory Analytic number theory