Jacob's ladders and the tangent law for short parts of the Hardy-Littlewood integral

Details Jacob's ladders and the tangent law for short parts of the Hardy-Littlewood integral Jacob's ladders and the tangent law for short parts of the Hardy-Littlewood integral

2009-06-03

arxiv.org/abs/0906.0659v3

Mathematics

Classical Analysis and ODEs

Scientific paper

The elementary geometric properties of the Jacob's ladders \cite{7} lead to a
class of new formulae for short parts of the Hardy-Littlewood integral. This
class of formulae cannot be obtained by methods of Balasubramanian, Heath-Brown
and Ivic.

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