An extension of Stolarsky means to the multivariable case.

Simic, Slavko

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Simic, Slavko (2007)

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Miles, Joseph (2002)

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Kühleitner, M. (1992)

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Sankaranarayanan, A. (2006)

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On the riemann zeta-function and the divisor problem

Aleksandar Ivić (2004)

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Let Δ(x) denote the error term in the Dirichlet divisor problem, and E(T) the error term in the asymptotic formula for the mean square of $|ς (\frac{1}{2} + i t)|$ . If $E^{*} (t) = E (t) - 2 π Δ^{*} (t / 2 π)$ with $Δ^{*} (x) = - Δ (x) + 2 Δ (2 x) - \frac{1}{2} Δ (4 x)$ , then we obtain $\int_{0}^{T} {(E^{*} (t))}^{4} d t ≪_{e} T^{16 / 9 + ε}$ . We also show how our method of proof yields the bound $\sum_{r = 1}^{R} {(\int_{t r - G}^{t r + G} {|ς (\frac{1}{2} + i t)|}^{2} d t)}^{4} ≪_{e} T^{2 + e} G^{- 2} + R G^{4} T^{ε}$ , where T 1/5+ε≤G≪T, T

Logarithmic coefficients of univalent functions.

Girela, Daniel (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

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An omega theorem on differences of two squares. II.

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Acta Mathematica Universitatis Comenianae. New Series

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