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SUMMARY:Gaurav Kumar (Indian Institute of Technology Gandhinagar\, India)
DTSTART:20260717T120000Z
DTEND:20260717T122500Z
DTSTAMP:20260710T111747Z
UID:CANT2026/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/57/
 ">Some identities of the sums-of-tails type</a>\nby Gaurav Kumar (Indian I
 nstitute of Technology Gandhinagar\, India) as part of Combinatorial and a
 dditive number theory seminar (CANT 2026)\n\nLecture held in Science Cente
 r in the CUNY Graduate Center (4th floor).\n\nAbstract\nA new sums-of-tail
 s identity involving two parameters b and d is obtained and is used to der
 ive more results of similar type. One of Ramanujan’s sums-of-tails ident
 ities from the Lost Notebook is shown to be a special case of our result. 
 In the course of deriving Ramanujan’s identity\, we obtain a new result 
 of combinatorial significance. Two new representations for an infinite ser
 ies associated to a mock theta function are derived. Also\, we give an app
 lication of an identity of Andrews and Onofri. This talk is based on joint
  work with Prof. Atul Dixit and Aviral Srivastava.\n
LOCATION:https://researchseminars.org/talk/CANT2026/57/
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