68 citations · 151 across the 32 of their papers we have counts for
35 papers
Hardy's function - results and problems
Aleksandar Ivić
This is primarily an overview article on some results and problems involving the classical Hardy function $$ Z(t) := ζ(1/2+it){\bigl(χ(1/2+it)\bigr)}^{-1/2}, \quad ζ(s) = χ(s)ζ(1-s…
Some Applications of Laplace Transforms in Analytic Number Theory
Aleksandar Ivić
In this overview paper, presented at the meeting DANS14, Novi Sad, July3-7, 2014, we give some applications of Laplace transforms to analytic number theory. These include the class…
The divisor function and divisor problem
Aleksandar Ivić
The purpose of this text is twofold. First we discuss some divisor problems involving Paul Erd\H os (1913-1996), whose centenary of birth is this year. In the second part some rece…
On the Dirichlet divisor problem in short intervals
Aleksandar Ivic, Wenguang Zhai
We present several new results involving , where and is the error term in the classical Dirichlet divisor prob…
On the Rankin-Selberg problem in short intervals
Aleksandar Ivić
If denotes the error term in the classical Rankin-Selberg problem, then we obtain a non-trivial upper bound for the mean sq…
On the general additive divisor problem
Aleksandar Ivic, Jie Wu
We obtain a new upper bound for for , , , where is the (expected) error term in the asymptotic formula for $\sum_{N…