{"docId":119,"paperId":119,"url":"https:\/\/hrj.episciences.org\/119","doi":"10.46298\/hrj.1990.119","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":24,"name":"Volume 13 - 1990"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01104713","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01104713v1","dateSubmitted":"2015-03-03 16:13:45","dateAccepted":"2015-06-12 16:05:29","datePublished":"1990-01-01 08:00:00","titles":{"en":"Proof of some conjectures on the mean-value of titchmarsh series with applications to Titchmarsh's phenomenon"},"authors":["Ramachandra, K"],"abstracts":{"en":"In the earlier paper written jointly with R. Balasubramanian, we proved certain lower bounds for mean values of Titchmarsh series. In this paper, we obtain analogous results for ``weak Titchmarsh series'', which are a kind of Dirichlet series $\\sum a_n\\lambda^{-s}_n$ such that $\\sum_{n\\leq X}\\vert a_n\\vert$ is suitably bounded above."},"keywords":[{"en":"mean-value of Titchmarsh series"},{"en":"Titchmarsh phenomenon"},"[MATH] Mathematics [math]"]}