Riemann Hypothesis on Grönwall's Function

EasyChair Preprint 9117, version history

Version	Date	Pages	Version notes
1	October 24, 2022	5
2	January 3, 2023	6	Make clear the arguments
3	April 22, 2023	6	Put explicitly the proof of the Riemann hypothesis.
4	April 30, 2023	6	We improved the Central Lemma
5	May 9, 2023	6	Set explicitly that the Riemann hypothesis is true in a theorem.
6	May 15, 2023	6	We changed the symbol ⪆ by > and simplified the abstract.
7	May 24, 2023	6	We changed the abstract and proof of Theorem 1
8	June 11, 2023	6	We improved the Proof of Theorem 1
9	June 15, 2023	7	We added the section Conclusions in order to finalize the manuscript and avoid future versions.
10	June 23, 2023	6	We provide more arguments to proof of Theorem 2.
11	June 28, 2023	6	Today, a researcher has suggested me this change that I applied, he told me: What does mean " We state that the Riemann hypothesis is true if and only if there exist infinitely many consecutive colossally abundant numbers N < N ′ such that G(N ) < G(N ′)." Do you mean "We state that the Riemann hypothesis is true if and only if there exist infinitely many pairs (N,N') of consecutive colossally abundant numbers N < N ′ such that G(N ) < G(N ′)."
12	June 30, 2023	7	I'm trying to make clearer and clearer again the arguments.
13	June 30, 2023	7	We improved Theorem 2
14	July 3, 2023	6	We removed the hyper abundant number definition (we changed the abstract, keywords and content).
15	July 8, 2023	7	We improved proofs of theorem 1 and 2.
16	July 23, 2023	7	We provided stronger arguments in the last theorem.

Keyphrases: Arithmetic Functions, Colossally abundant numbers, Extremely abundant numbers, Hyper abundant numbers, Riemann hypothesis

BibTeX entry

BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:

@booklet{EasyChair:9117,
  author    = {Frank Vega},
  title     = {Riemann Hypothesis on Grönwall's Function},
  howpublished = {EasyChair Preprint 9117},
  year      = {EasyChair, 2023}}