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UID:news2070@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20261005T143255
DTSTART;TZID=Europe/Zurich:20261012T121500
SUMMARY:Bernoullis Tafelrunde: Ben Snodgrass (Universität Freiburg)
DESCRIPTION:abstract [t3://file?uid=4277]\\r\\nE-functions form a class of 
 entire functions given by power series with algebraic coefficients\, intro
 duced by Siegel in 1929. Motivation for their study is provided by classic
 al examples such as the exponential function and the Bessel function. Thei
 r arithmetic properties are particularly striking: a result of Siegel and 
 Shidlovskii on their special values\, 'E-values'\, allows for simple trans
 cendence proofs and constitutes a vast generalisation of the Lindemann-Wei
 erstrass theorem. E-values are closely linked to a class of complex number
 s called exponential periods\, which are complex numbers given by particul
 ar integrals over varieties involving the exponential function. The interp
 lay between these E-values and exponential periods is an active area of re
 search and we will discuss a couple of results in this direction.
X-ALT-DESC:<p><a href="t3://file?uid=4277">abstract</a></p>\n<p>E-functions
  form a class of entire functions given by power series with algebraic coe
 fficients\, introduced by Siegel in 1929. Motivation for their study is pr
 ovided by classical examples such as the exponential function and the Bess
 el function. Their arithmetic properties are particularly striking: a resu
 lt of Siegel and Shidlovskii on their special values\, 'E-values'\, allows
  for simple transcendence proofs and constitutes a vast generalisation of 
 the Lindemann-Weierstrass theorem. E-values are closely linked to a class 
 of complex numbers called exponential periods\, which are complex numbers 
 given by particular integrals over varieties involving the exponential fun
 ction. The interplay between these E-values and exponential periods is an 
 active area of research and we will discuss a couple of results in this di
 rection.</p>
DTEND;TZID=Europe/Zurich:20261012T130000
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