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20052023
most citedOn the torsion in the cohomology of arithmetic hyperbolic 3-manifolds

42 citations · 140 across the 19 of their papers we have counts for

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Showing 2013 · math.NTShow all

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math.NT2013★ 1 cited

Restrictions of SL_3 Maass forms to maximal flat subspaces

Simon Marshall

Let ψbe a Hecke-Maass form on a cubic division algebra over \Q. We apply arithmetic amplification to improve the local bound for the L^2 norm of ψrestricted to maximal flat subspac…

math.NT2013★ 7 cited

Endoscopy and cohomology growth on U(3)

Simon Marshall

We apply the endoscopic classification of automorphic forms on U(3) to prove a case of a conjecture of Sarnak and Xue on cohomology growth.