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Integral points on determinant surfaces and its applications

Posted in
Speaker: 
Rashita Guria
Affiliation: 
MPIM
Date: 
Wed, 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)(a,b,c,d) in an
expanding box [X,X]4[-X,X]^4 that lie on the determinant surface xyzw=rxy-zw=r for r0r\ne 0 and discuss
various applications of this counting.

 

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