Article
On the Riemann Zeta-Function and the Divisor Problem Iv
Authors
Abstract
Let ∆(x) denote the error term in the Dirichlet divisor prob- lem, and E(T ) the error term in the asymptotic formula for the mean square of |ζ( 1 +it)|. If E∗(t) = E(t)−2π∆∗(t/2π) with ∆∗(x) = −∆(x)+2∆(2x)− 1 ∆(4x), 2 2 then it is proved thatT |E∗(t)|3 dtε T 3/2+ε 0 and ζ( 1 2 + it)ε tρ/2+ε if E∗(t)ε tρ+ε.
Keywords
Dirichlet divisor problem, Riemann zeta-function, integral of the error term.
Citation
Ivic, A. (2006). On the riemann zeta-function and the divisor problem iv. Uniform Distribution Theory, 1(1), 125–135.
A. Ivic, “On the riemann zeta-function and the divisor problem iv,” Uniform Distribution Theory, vol. 1, no. 1, pp. 125–135, 2006.
Ivic A. On the riemann zeta-function and the divisor problem iv. Uniform Distribution Theory. 2006;1(1):125–135.
Ivic, A. (2006), ‘On the riemann zeta-function and the divisor problem iv’, Uniform Distribution Theory, 1(1), pp. 125–135.
Ivic, Aleksandar. “On the Riemann Zeta-function and the Divisor Problem Iv.” Uniform Distribution Theory, vol. 1, no. 1, 2006, pp. 125–135.
Ivic, Aleksandar. “On the Riemann Zeta-function and the Divisor Problem Iv.” Uniform Distribution Theory 1, no. 1 (2006): 125–135.
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