25 citations · 41 across the 13 of their papers we have counts for
10 papers · 1 filter
On some recent results in the theory of the zeta-function
Aleksandar Ivić
This review article brings forth some recent results in the theory of the Riemann zeta-function .
A note on the Laplace transform of the square in the circle problem
Aleksandar Ivić
If is the error term in the circle problem, then it is proved that $$\int_0^\infty P^2(x)e^{-x/T}dx = {1\over4}({T\overπ})^{3/2} \sum_{n=1}^\infty r^2(n)n^{-3/2} - T + O_ε(T…
On a sum involving the prime counting function
Aleksandar Ivić
A sharp asymptotic formula for the sum of reciprocals of is derived, where is the number of primes not exceeding . This result improves the previous results of De…
On mean values of some zeta-functions in the critical strip
Aleksandar Ivić
For a fixed integer and fixed we consider where $R(k,σ;T) = o(T) (T\to\infty…
On sums of Hecke series in short itervals
Aleksandar Ivić
We prove $\sum_{K-G}\le κ_j \le K+G}α_j H_j^3(1/2) \ll_εGK^{1+ε}$ for , where , and is the first Fourier coefficient of…
On summatory functions of additive functions and regular variation
Aleksandar Ivić
An overview of results and problems concerning the asymptotic behaviour for summatory functions of a certain class of additive functions is given. The class of functions in questio…