Hardy's interests covered many topics of pure mathematics - Diophantine analysis, summation of divergent series, Fourier series, the Riemann zeta function, and the distribution of primes .
Hardy sakop ng interes ng maraming mga paksa ng purong matematika - Diophantine analysis, pagbubuo ng iba serye, Fourier series, ang Riemann zeta function, at ang pamamahagi ng primes.