Author’s summary: “This article is a reply to a previous Chronicle written by G. J. Toomer. It describes the birth and chronology of the latest research on Diophantus of Alexandrias’s Arithmetics. It gives a clear as well as fully-argued account of the criticism previously aimed at J. Sesiano and points out the differences between a thesis defended at Brown University in 1975 and the ensuing work published in 1982.”