Satadal Ganguly: Counting lattice points on determinant surfaces

We will consider the problem of counting integral points on surfaces of the type $xy-zw=1$ where the coordinates are bounded by a parameter X. Using the Kloostermania approach we will show how to
obtain an asymptotic formula with a strong error term.  This can be considered as an $L^{\infty}$ analogue of Selberg's famous result on counting elements of the modular group inside the sphere $|x|^2+|y|^2+|z|^2+|w|^2 <X$. 

This is a joint work with Rachita Guria.

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Zoom: https://us06web.zoom.us/j/84409551292?pwd=jOJYFJYw2fbqaUu4KaMC3141gL8JjX.1
Meeting ID: 844 0955 1292
Passcode: 052577