Timeline for A modern reference for the Piltz divisor problem
Current License: CC BY-SA 4.0
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| Jul 31, 2021 at 14:36 | comment | added | Cloudscape | Thanks @ArnieBebita-Dris, I'd already found that after an on-line search. I'm now reading a book of Titchmarsh and Heath-Brown, which gives a pretty simple explanation, apparently using a different technique due to Landau, which avoids Voronoi's formula, but still gets good results. | |
| Jul 31, 2021 at 1:47 | comment | added | Jose Arnaldo Bebita | You might want to peruse this arXiv preprint of an article by Soumyarup Banerjee, which has been published in Proc. Amer. Math. Soc. 149 (2021), 1025-1038, @AlgebraicsAnonymous. | |
| Jul 30, 2021 at 14:03 | comment | added | Joshua Stucky | Most arguments involving a Voronoi-type formulas tend to be somewhat technical. For the original Voronoi formula, you might look at Ivic's book "The Riemann Zeta-Function: Theory and Applications," (I forget the chapter), as well as chapter 4 of Iwaniec and Kowalski's "Analytic Number Theory." The same method yields the Voronoi formula for higher order divisor functions, so I'm not sure where you might find an exposition of the Voronoi formula in that case. | |
| Jul 28, 2021 at 20:56 | history | asked | Cloudscape | CC BY-SA 4.0 |