Jean-Francois Burnol
Published 2001-12-22, updated 2003-03-11Version 6
We study some of the interactions between the Fourier Transform and the Riemann zeta function (and Dirichlet-Dedekind-Hecke-Tate L-functions)
Comments: 50 pages. Oct 2002: Final ms, to appear in Forum Mathematicum. March 2003: we have become aware that Duffin and Weinberger had discovered earlier the ``co-Poisson formula''. See added footnote on page 3. Our whole analysis, and especially the connections with the zeta function, remains a novel contribution
Journal: Forum Mathematicum 16 (2004), 789-840
Horizontal Monotonicity of the Modulus of the Riemann Zeta Function and Related Functions
On the Gram's Law in the Theory of Riemann Zeta Function
The zeros of the derivative of the Riemann zeta function near the critical line
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