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SUMMARY:Vandita Patel (University of Manchester)
DTSTART:20240619T150000Z
DTEND:20240619T160000Z
DTSTAMP:20260418T065823Z
UID:LNTS/130
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/130/">V
 alues of the Ramanujan tau-function</a>\nby Vandita Patel (University of M
 anchester) as part of London number theory seminar\n\nLecture held in KCL 
 K0.18.\n\nAbstract\nThe infamous Ramanujan tau-function is the starting po
 int for many mysterious conjectures and difficult open problems within the
  realm of modular forms. In this talk\, I will discuss some of our recent 
 results pertaining to odd values of the Ramanujan tau-function. We use a c
 ombination of tools which include the Primitive Divisor Theorem of Bilu\, 
 Hanrot and Voutier\, bounds for solutions to Thue–Mahler equations due t
 o Bugeaud and Gyory\, and the modular approach via Galois representations 
 of Frey-Hellegouarch elliptic curves. This is joint work with Mike Bennett
  (UBC)\, Adela Gherga (Warwick) and Samir Siksek (Warwick)\n
LOCATION:https://researchseminars.org/talk/LNTS/130/
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