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SUMMARY:Frank Garvan (University of Florida)
DTSTART:20210304T140000Z
DTEND:20210304T150000Z
DTSTAMP:20260423T024741Z
UID:UCDANT/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCDANT/13/">
 The spt and unimodal sequence conjectures</a>\nby Frank Garvan (University
  of Florida) as part of Dublin Algebra and Number Theory Seminar\n\n\nAbst
 ract\nIn 2012 Bryson\, Ono\, Pitman\, and Rhoades showed how the generatin
 g functions\nfor certain strongly unimodal sequences are related to quantu
 m modular\nand mock modular forms. They proved some parity results and con
 jectured\nsome mod 4 congruences for the coefficients of these generating 
 functions.\nIn 2016 Kim\, Lim and Lovejoy obtained similar results for odd
 -balanced\nunimodal sequences and made similar mod 4 conjectures. In 2017\
 nthe speaker made some similar conjectures for the Andrews spt-function.\n
  \n \nIn this talk\, we outline how to prove these conjectures.\nThis invo
 lves a connection between the Hurwitz class number function\nand Ramanujan
 's mock theta functions.\n \nThis is joint work with Rong Chen (Shanghai).
 \n
LOCATION:https://researchseminars.org/talk/UCDANT/13/
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