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Integral points on determinant surfaces and its applications

Posted in
Speaker: 
Rashita Guria
Zugehörigkeit: 
MPIM
Datum: 
Mit, 16/10/2024 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We obtain an asymptotic formula with an error term for counting integer points $(a,b,c,d)$ in an
expanding box $[-X,X]^4$ that lie on the determinant surface $xy-zw=r$ for $r\ne 0$ and discuss
various applications of this counting.

 

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