MHB Math Helper
- Mar 22, 2013
Actually, if you peer at Titchmarsh & Health-Brown, you'll see several complicated proof by ACing etas and applying Real and Complex analysis to it. The estimates are also gigantic. But the proof I am posting must be a refinement by Iwaniec & Kowalski; it's pretty neat, you know.ZaidAlyafey said:It would be interesting if you post an outline of the topics you are going to discuss and the background needed for such tutorial .
Of course ! all these seem interesting topics !PS After this tutorial is complete, I'd think about posting another tutorial which will consist of the Selberg's result (a positive proportion of the zeros of zeta lies in the 1/2-line) and merge those tutorials. Would it be a good idea?
It's not a relation, it's a definition. Hardy & Littlewood defined a function (Hardy Littlewood eta) which is related to zeta like that.ZaidAlyafey said:I meant the relation ...
Yes, I used the reflection formula of gamma and zeta to get a functional equation of H-L eta.ZaidAlyafey said:I think you are some how using the reflection formula of the Gamma function