{"docId":2634,"paperId":2634,"url":"https:\/\/hrj.episciences.org\/2634","doi":"10.46298\/hrj.2017.2634","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":161,"name":"Volume 39 - 2016"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01425570","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01425570v1","dateSubmitted":"2017-01-09 13:37:59","dateAccepted":"2017-01-09 14:33:53","datePublished":"2017-01-09 14:34:04","titles":{"en":"A note on Hardy's theorem"},"authors":["Sangale, Usha K."],"abstracts":{"en":"Hardy's theorem for the Riemann zeta-function \u03b6(s) says that it admits infinitely many complex zeros on the line (s) = 1 2. In this note, we give a simple proof of this statement which, to the best of our knowledge, is new."},"keywords":[["Riemann zeta-function"],["Hardy's theorem"],["Hardy's Z-function"],"2010 Mathematics Subject Classification 11E45 (primary); 11M41 (secondary)","[MATH] Mathematics [math]"]}