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Journal of the Ramanujan Mathematical Society

Volume 39, Issue 3, September 2024  pp. 219–224.

Counting 2 × 2 integer matrices with fixed trace and determinant

Authors:  Rachita Guria
Author institution:Department of Mathematics and Statistics, Indian Institute of Science Education and Research Kolkata.

Summary:  We count with a smooth weight the number of 2 × 2 integer matrices with a fixed characteristic polynomial with a main term and an error term using bounds for sums of Weyl sums for quadratic roots.


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