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SUMMARY:Peter Jossen
DTSTART:20220112T160000Z
DTEND:20220112T170000Z
DTSTAMP:20260418T065506Z
UID:LNTS/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/57/">A 
 non-hypergeometric E-function</a>\nby Peter Jossen as part of London numbe
 r theory seminar\n\n\nAbstract\nWith the goal of generalising the theorems
  of Hermite\, Lindemann\, and Weierstrass about transcendence of values of
  the exponential function\, Siegel\nintroduced the notion of E-function in
  his landmark 1929 paper "Über einige Anwendungen diophantischer Approxim
 ationen". Hypergeometric functions\nprovide a rich class of E-functions\, 
 and Siegel asked whether in fact every E-function is a polynomial expressi
 on in hypergeometric E-functions. In a\njoint work with Javier Fresán\, w
 e answer Siegel's question in the negative.\n
LOCATION:https://researchseminars.org/talk/LNTS/57/
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