On title multiplicity

While looking with Google for the precise reference to the paper of Ingham (which K. Soundararajan had helpfully pointed out) which is mentioned in this comment to my earlier post, it transpired that the title “A note on Fourier transforms” is not really univoque (as people used to say before “injective” became the fashion): there are at least five distinct papers with the exact same title (MathSciNet only finds two of them, because the others — including Ingham’s — were published too early to appear in that database, but Google scholar found them, missing however the one of H. Kober in 1944). Since all are in the Journal (or Bulletin) of the London Mathematical Society, there’s of course a small chance that there are other papers with this title, hidden somewhere.

But in any case, I wonder what is the mathematical title which occurs with highest multiplicity? Who has an example with more than five?

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Kowalski

I am a professor of mathematics at ETH Zürich since 2008.

5 thoughts on “On title multiplicity”

  1. What about “Some problems of ‘partitio numerorum'”?
    That counts as a series of papers; the first by Hardy and Littlewood and others I think by other authors, too. All about getting closer to Waring’s problem by elaborating on the circle method.
    I can think of at least 8 papers.
    Greetings, Richard

  2. There are more than 5 papers called ‘Elliptic Curves and/in Cryptography’ on Google Scholar!

  3. Series of papers are another interesting question, but maybe it should be counted as a different category. And then, can one do better than the series “On the Barban-Davenport Halberstam theorem” of C. Hooley, recently in its 19th episode?

  4. Well, Mathscinet definitely helps…
    “Notes on the analytical results in flow shop scheduling” has at least 27 instalments (MathScinet)
    “Notes on the theory of series” (Hardy Littlewood) has 24…
    “On the radiative equilibrium of a stellar atmosphere” also 24…
    but the great winners must be
    “Chemical graphs” which has a XLI version in a series that Mathscinet recognizes as possibly going further (MR0787737)
    or
    “Topological properties of benzenoid systems”, which has at least a XLVIIIb version in 1989
    http://www.pmf.kg.ac.yu/gutman/papers.htm
    I. Gutman is author on (seemingly) all the papers of the sequence, and many appear on MathScinet

  5. According to MathSciNet there are 10 papers by different authors with the title “On a problem of Erdős” (actually, I am cheating since some do not have the correct accent). As for the series of papers by same authors, there are famous “Graph minors” by Seymour and Robertson that are now in their XXIII’rd installment.

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