25 citations · 84 across the 32 of their papers we have counts for
11 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 Kurepa's problems in number Theory
Aleksandar Ivić, Žarko Mijajlović
We discuss some problems in number theory posed by Djuro Kurepa (1907-1993), including his classical left factorial hypothesis that an odd prime does not divide $0! + 1! + ...…
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…