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DTSTART:20250309T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250730T123000
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URL:https://uwaterloo.ca/pure-mathematics/events/student-number-theory-semi
 nar-83
SUMMARY:Student Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:SAMANTHA NADIA PATER\, CUIWEN ZHU AND HANWU ZHOU\n\n_The Hasse 
 Principle for Diagonal Forms via the Circle Method_\n\nThe Hasse principle
  predicts that a Diophantine equation should have a\nrational solution whe
 never it has solutions in reals and p-adics for\nall primes p. For diagona
 l forms\, this principle can be analyzed via\nthe Hardy–Littlewood circl
 e method. In this talk\, we examine how the\nmajor and minor arc contribut
 ions are handled to establish asymptotic\nformulas for the number of integ
 ral solutions. Moreover\, we would\npresent a sketch of Jorg Brudern and T
 revor D. Wooley's proof of the\nHasse principle for pairs of diagonal cubi
 c forms in thirteen or more\nvariables.\n\nMC 5417
DTSTAMP:20260502T042125Z
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