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Brigham Young University
Math Department

Darrin Doud

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


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.



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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