Jacob's ladders and the asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral of the function |ζ(1/2+it)|4
Abstract
The elementary geometric properties of Jacob's ladders of the second order lead to a class of new asymptotic formulae for short and microscopic parts of the Hardy-Littlewood integral of |ζ(1/2+it)|4. These formulae cannot be obtained by methods of Balasubramanian, Heath-Brown and Ivic.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.