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math.NT2012
Hybrid trace formula for a non-uniform irreducible lattice in $\PSL_2(\bbR)^n$
Dubi Kelmer
In a series of lectures Selberg introduced a trace formula on the space of hybrid Maass-modular forms of an irreducible uniform lattice in $\PSL_2(\bbR)^n$. In this paper we derive…
math.NT2012
Quadratic irrationals and linking numbers of modular knots
Dubi Kelmer
A closed geodesic on the modular surface gives rise to a knot on the 3-sphere with a trefoil knot removed, and one can compute the linking number of such a knot with the trefoil kn…