25 citations · 84 across the 32 of their papers we have counts for
41 papers
On the distribution of values of the argument of the Riemann zeta-function
Aleksandar Ivić, Maxim Korolev
Let . We prove that, for , we have $$ {\rm mes}\Bigl\{t\in [T, T+H…
A note on the zeros of the zeta-function of Riemann
Aleksandar Ivić
It is shown explicitly how the sign of Hardy's function depends on the parity of the zero-counting function . Two existing definitions of this function are analyzed, a…
On sums of squares of over short intervals
Aleksandar Ivić
A discussion involving the evaluation of the sum $$\sum_{T<\g\le T+H}|ζ(1/2+iγ)|^2$$ and some related integrals is presented, where denotes imaginary parts of complex zer…
On certain integrals involving the Dirichlet divisor problem
Aleksandar Ivić, Wenguang Zhai
We prove that where is the error term in the asy…
On the multiplicites of zeros of and its values over short intervals
Aleksandar Ivić
We investigate bounds for the multiplicities , where ($β\ge \1/2, γ>0)$ denotes complex zeros of . It is seen that the problem can be reduced to the estimat…
Moments of Hardy's function over short intervals
Aleksandar Ivić
Let as usual denote Hardy's function, where . Assuming the Riemann hypothesis upper and lower bounds for some integrals involv…