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math.CAJan 14, 2011
authors
  • Jan Moser
arXiv abstractPDF
paper

Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integral

arXiv:1101.2775

Abstract

We obtain some new properties of the signal generated by the Riemann zeta-function in this paper. Namely, we show the connection between the function $\zf$ and a nonlinear integral equation related to the Poisson-Lobachevsky integral.

References in corpus (8)

  • Jacob's ladders and the tangent law for short parts of the Hardy-Littlewood integral
  • Jacob's ladders and the multiplicative asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral
  • Jacob's ladders and the quantization of the Hardy-Littlewood integral
  • Jacob's ladders and the almost exact asymptotic representation of the Hardy-Littlewood integral
  • Jacob's ladders and the first asymptotic formula for the expression of the fifth order Z3[...]Z^2(t) for the collection of disconnected sets
  • Jacob's ladders and the asymptotically approximate solutions of a nonlinear diophantine equation
  • Jacob's ladders and new orthogonal systems generated by Jacobi polynomials
  • Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations
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