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19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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3 papers · 2 filters

math.NT2010★ 9 cited

On certain constructions of p-adic families of Siegel modular forms of even genus

Hisa-Aki Kawamura

Suppose that p > 5 is a rational prime. Starting from a well-known p-adic analytic family of ordinary elliptic cusp forms of level p due to Hida, we construct a certain p-adic anal…

math.NT2010★ 7 cited

Perfect forms and the cohomology of modular groups

Philippe Elbaz-Vincent, Herbert Gangl, Christophe Soulé

For N=5, 6 and 7, using the classification of perfect quadratic forms, we compute the homology of the Voronoi cell complexes attached to the modular groups SL_N(\Z) and GL_N(\Z). F…

math.NT2010

A p-adic integral for the reciprocal of L-functions

Stephen Gelbart, Stephen D. Miller, Alexei Pantchichkine +1

We introduce an analog of part of the Langlands-Shahidi method to the p-adic setting, constructing reciprocals of certain p-adic L-functions using the nonconstant terms of the Four…