Transformations of zeta-sums
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 155-161

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An approximate formula involving Gauss sums is given for short Dirichlet polynomials related to the zeta-function on the critical line.
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     author = {Matti Jutila},
     title = {Transformations of zeta-sums},
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Matti Jutila. Transformations of zeta-sums. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 155-161. http://geodesic.mathdoc.fr/item/TM_2012_276_a11/