LLL reduction and a conjecture of Gunnells

Autor: Russell Ricks, Darrin Doud
Rok vydání: 2009
Předmět:
Zdroj: Proceedings of the American Mathematical Society. 138:409-415
ISSN: 0002-9939
Popis: Paul Gunnells has developed an algorithm for computing actions of Hecke operators on arithmetic cohomology below the cohomological dimension. One version of his algorithm uses a conjecture concerning LLL-reduced matrices. We prove this conjecture for dimensions 2 through 5 and disprove it for all higher dimensions.
Databáze: OpenAIRE