Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms

Abstract

In this paper, we propose a generalization of the algorithm developed in [4]. Along the way, we also develop a theory of quaternionic M -symbols whose definition bears some resemblance with the classical M -symbols, except for their combinatorial nature. The theory gives a more efficient way to compute Hilbert modular forms over totally fields, especially… (More)
DOI: 10.1090/S0025-5718-06-01914-4

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