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DTSTART:20260308T070000
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DTSTART:20261101T060000
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DTSTART;TZID=America/Toronto:20261103T100000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-jerr
 y-wang-counting-a4-quartics
SUMMARY:Number Theory Seminar | Jerry Wang | Counting A_4-quartics by\ndisc
 riminant
CLASS:PUBLIC
DESCRIPTION:JERRY WANG (UNIVERSITY OF WATERLOO)\n\n_Counting \\(A_4\\)-quar
 tics by discriminant_ \nAn \\(A_4\\)-quartic is a degree 4 extension of Q 
 whose Galois closure\nhas Galois group \\(A_4\\). They are the last remain
 ing quartic fields\nfor which we didn't have an asymptotic counting formul
 a. In this joint\nwork with Stanley Xiao\, we prove that the the number of
 \n\\(A_4\\)-quartics of discriminant at most \\(X\\) is\n\\(\\kappa_{A_4}X
 ^{1/2}\\log X + O_\\epsilon(X^{1/2}(\\log\\log\nX)^{3+\\epsilon})\\)) wher
 e \\(\\kappa_{A_4}\\) is an explicit constant\nwith an Euler product expan
 sion. \nMC 5501
DTSTAMP:20261022T145839Z
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