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SUMMARY:Vladimir Kostov (Université d'Azur\, CNRS\, LJAD)
DTSTART:20230509T130000Z
DTEND:20230509T140000Z
DTSTAMP:20260422T201742Z
UID:CAvid/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/106/">
 Analytic properties of the partial theta function</a>\nby Vladimir Kostov 
 (Université d'Azur\, CNRS\, LJAD) as part of CAvid: Complex Analysis vide
 o seminar\n\nLecture held in N/A.\n\nAbstract\nWe consider the partial the
 ta function $\\theta (q\,x):=\\sum\n_{j=0}^{\\infty}q^{j(j+1)/2}x^j$\, whe
 re $x$ is a variable and $q$ a\nparameter\n($|q|<1$). We deal with the two
  possible situations\, when $q$ is real or\ncomplex. In the talk we focus 
 on the\nanalytic properties of $\\theta$\, such as asymptotic expansions f
 or its\nzeros\, its spectrum (i.e. the set of values of the parameter $q$\
 nfor which $\\theta (q\,.)$ has multiple zeros)\, behaviour of its zeros\,
 \nespecially of its complex conjugate pairs\, when\nthe parameter $q$ vari
 es\, separation in modulus of the zeros etc.\n
LOCATION:https://researchseminars.org/talk/CAvid/106/
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