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SUMMARY:Neelam Saikia (Indian Institute of Technology Guwahati)
DTSTART:20200921T170000Z
DTEND:20200921T173000Z
DTSTAMP:20260423T021222Z
UID:POINT/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/10/">Z
 eros of $p$-adic hypergeometric series</a>\nby Neelam Saikia (Indian Insti
 tute of Technology Guwahati) as part of POINT: New Developments in Number 
 Theory\n\n\nAbstract\nLet $p$ be an odd prime. McCarthy initiated a study 
 of hypergeometric functions in the $p$-adic setting. This function can be 
 understood as $p$-adic analogue of Gauss' hypergeometric function\, and so
 me kind of generalisation of Greene's hypergeometric function over finite 
 fields. In this talk we investigate arithmetic properties of certain famil
 ies of McCarthy's hypergeometric functions. In particular\, we explicitly 
 discuss all the possible values of these functions. Moreover\, we discuss 
 zeros of these functions.\n
LOCATION:https://researchseminars.org/talk/POINT/10/
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