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math.NT2023★ 1 cited
Hyperbolic lattice point counting in unbounded rank
Valentin Blomer, Christopher Lutsko
We use spectral analysis to give an asymptotic formula for the number of matrices in SL(n, Z) of height at most T with strong error terms, far beyond the previous known, both for s…
math.NT2023
Norm bounds on Eisenstein series
Dubi Kelmer, Alex Kontorovich, Christopher Lutsko
We study the sup-norm and mean-square-norm problems for Eisenstein series on certain arithmetic hyperbolic orbifolds, producing sharp exponents for the modular surface and Picard 3…