Abstract
Analytic functions were my first real passion in mathematics. As an undergraduate at the University of Chicago, I think I first encountered the name “M. M. Schiffer” early in 1968 in connection with a research project that I was pursuing aimed at trying to explicate a somewhat nonstandard type of kernel function associated with multiply connected plane domains and circular slit mappings.
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I would be remiss if I failed to mention here a second curve—one that arrived about a year later. Following a lecture in Maryland, I was surprised to learn that, at approximately the same time as I, John Fay had independently found a formula for a j k equivalent to mine. Fay’s work utilized a deeper analysis of theta functions, which enabled him to get hold of the a j k in the setting of a broader, much more versatile identity than the (straightforward, 3-variable) one that I had employed for this purpose. See Fay’s 1973 Springer Lecture Notes and also Mumford’s Tata Lectures on Theta II, p. 224.
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Hejhal, D. (2013). Some Reminiscences of My Thesis Advisor, Max Schiffer. In: Duren, P., Zalcman, L. (eds) Menahem Max Schiffer: Selected Papers Volume 1. Contemporary Mathematicians. Birkhäuser, New York, NY. https://doi.org/10.1007/978-0-8176-8085-5_5
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DOI: https://doi.org/10.1007/978-0-8176-8085-5_5
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