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SUMMARY:Neelam Saikia (University of Virginia)
DTSTART:20220307T131500Z
DTEND:20220307T141500Z
DTSTAMP:20260423T022920Z
UID:WarsawNT/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/39/
 ">Traces of pth Hecke operators and p-adic hypergeometric functions</a>\nb
 y Neelam Saikia (University of Virginia) as part of Warsaw Number Theory S
 eminar\n\nLecture held in currently online.\n\nAbstract\nMcCarthy defined 
 hypergeometric functions in the p-adic setting using p-adic gamma function
 s. This function can be described as p-adic analogue of classical hypergeo
 metric function. In this talk we discuss the traces of pth Hecke operators
  acting on spaces of cusp forms of weight k and level 1 and their relation
 s with p-adic hypergeometric functions. As a consequence of this result we
  establish relations of Ramanujan’s tau-function and p-adic hypergeometr
 ic functions. This is a joint work with Sudhir Pujahari.\n
LOCATION:https://researchseminars.org/talk/WarsawNT/39/
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