On the second moment for primes in an arithmetic progression
On the stationary points of Hardy's function Z(t)
On the success and failure of Gram's Law and the Rosser Rule
Opět o Riemannově dzeta funkci
Oscillation of Mertens’ product formula
Mertens’ product formula asserts thatas . Calculation shows that the right side of the formula exceeds the left side for . It was suggested by Rosser and Schoenfeld that, by analogy with Littlewood’s result on , this and a complementary inequality might change their sense for sufficiently large values of . We show this to be the case.