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math.NT2026
Representations of binary quadratic forms by quaternary quadratic forms
Wooyeon Kim, Andreas Wieser, Pengyu Yang
We prove a local-global principle for primitive representations of binary quadratic forms by quaternary quadratic forms. Our method is a variant of Linnik's ergodic method showing…
math.NT2023
Poissonian pair correlation for directions in multi-dimensional affine lattices, and escape of mass estimates for embedded horospheres
Wooyeon Kim, Jens Marklof
We prove the convergence of moments of the number of directions of affine lattice vectors that fall into a small disc, under natural Diophantine conditions on the shift. Furthermor…