Ramanujan, Robin, Highly Composite Numbers, and the Riemann Hypothesis

We provide an historical account of equivalent conditions for the Riemann Hypothesis arising from the work of Ramanujan and, later, Guy Robin on generalized highly composite numbers. The first part of the paper is on the mathematical background of our subject. The second part is on its history, which includes several surprises.

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Field Value
Source https://hal.science/hal-00920500
Author Nicolas, Jean-Louis, Sondow, Jonathan
Maintainer CCSD
Last Updated May 7, 2026, 18:15 (UTC)
Created May 7, 2026, 18:15 (UTC)
Identifier hal-00920500
Language en
contributor Institut Camille Jordan (ICJ) ; École Centrale de Lyon (ECL) ; Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL) ; Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon) ; Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM) ; Université Jean Monnet (EPSCPE) (UJM EPE)-Université Jean Monnet (EPSCPE) (UJM EPE)-Centre National de la Recherche Scientifique (CNRS)
creator Nicolas, Jean-Louis
date 2013-12-02T00:00:00
harvest_object_id 66c4e66c-70f4-4b36-8e2b-c2f969c8b7ba
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-04-23T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1211.6944
set_spec type:UNDEFINED