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SUMMARY:Sean Prendiville (Lancaster)
DTSTART:20220307T170000Z
DTEND:20220307T180000Z
DTSTAMP:20260423T022713Z
UID:OARS/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/39/">Fo
 urier analysis and nonlinear progressions of integers</a>\nby Sean Prendiv
 ille (Lancaster) as part of OARS Online Analysis Research Seminar\n\n\nAbs
 tract\nFourier analysis has proved a fundamental tool in analytic and comb
 inatorial number theory\, usually in the guise of the Hardy-Littlewood cir
 cle method. When applicable\, this method allows one to asymptotically est
 imate the number of solutions to a given Diophantine equation with variabl
 es constrained to a given finite set of integers. I will discuss recent wo
 rk\, obtained jointly with Sarah Peluse\, which adapts the circle method t
 o count the configuration $x\, x+y\, x+y^2$ in a quantitatively effective 
 manner.\n
LOCATION:https://researchseminars.org/talk/OARS/39/
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