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Brigham Young University
Math Department

Darrin Doud

322 TMCB
Department of Mathematics
Brigham Young University
Provo, UT 84602

phone:(801)422-1204
fax:(801)422-0504
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LLL reductions and a conjecture of Gunnells

with Russell Ricks

Proceedings of the AMS 138 (2010), 409-415.

Abstract: Paul Gunnells has developed an algorithm for computing actions of Hecke operators on arithmetic cohomology below the cohomological dimension. His algorithm uses a conjecture concerning LLL-reduced matrices. We prove this conjecture in dimensions two through five and disprove it in all higher dimensions.

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Programs Used

GP Code for the dimension four case.

GP Code for the dimension five case.

GP Code for Gram-Schmidt reduction and testing LLL conditions.

Maintained by Darrin Doud.

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