Jacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral

Details Jacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral Jacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral

2009-07-02

arxiv.org/abs/0907.0301v1

Mathematics

Classical Analysis and ODEs

5 pages

Scientific paper

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

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