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References
Atkinson, F. V., The mean value of the zeta-function on the critical line.Quart. J. Math. Oxford10 (1939), 122–128.
Atkinson, F. V., The mean-value of the Riemann zeta function.Acta Math.81 (1949), 353–376.
Balasubramanian, R., An improvement on a theorem of Titchmarsh on the mean square of\(\left| {\zeta \left( {\frac{1}{2} + it} \right)} \right|\).Proc. London Math. Soc. (3)36 (1978), 540–576.
Gallagher, P. X., A large sieve density estimate near σ=1.Invent. Math.11 (1970), 329–339.
Good, A., Ein Ω-Resultat für das quadratische Mittel der Riemannschen Zetafunktion auf der kritischen Linie.Invent. Math.41 (1977), 233–251.
Heath-Brown, D. R., The fourth power moment of the Riemann zeta function.Proc. London Math. Soc. (3)38 (1979), 385–422.
Heath-Brown, D. R., The twelfth power moment of the Riemann zeta-function.Quart. J. Math. Oxford (2)29 (1978), 443–462.
Heath-Brown, D. R., The mean value theorem for the Riemann zeta-function.Mathematika25 (1978), 177–184.
Kolesnik, G. A., On the estimation of some trigonometric sums.Acta Arith.25 (1973), 7–30.
Montgomery, H. L.,Topics in Multiplicative Number Theory. Lecture Notes in Math. 227, Springer 1971.
Titchmarsh, E. C.,The theory of the Riemann zeta-function. Clarendon Press, Oxford 1951.
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Jutila, M. Riemann’s zeta-function and the divisor problem. Ark. Mat. 21, 75–96 (1983). https://doi.org/10.1007/BF02384301
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DOI: https://doi.org/10.1007/BF02384301