25 citations · 41 across the 13 of their papers we have counts for
13 papers
The modified Mellin transform of powers of the zeta-function
Aleksandar Ivić
The modified Mellin transform is investigated. Analytic continuation and mean square estimates of ${\c…
The Mellin transform of the square of Riemann's zeta-function
Aleksandar Ivić
Let . A result concerning analytic continuation of to is proved, and also a…
On the estimation of some Mellin transforms connected with the fourth moment of
Aleksandar Ivić
Mean square estimates for are discussed, and some related Mellin transforms of quantities connected with the fourth power…
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…