Journal of Number TheoryVolume 99, Issue 2, April 2003, Pages 361-372Seven-modular lattices and a septic base Jacobi identityAuthor links open overlay panelHeng Huat Chan a, Kok Seng Chua b, Patrick Solé cShow moreShareCitehttps://doi.org/10.1016/S0022-314X(02)00069-0Get rights and contentUnder an Elsevier user licenseopen archiveAbstractA quadratic Jacobi identity to the septic base is introduced and proved by means of modular lattices and codes over rings. As an application the theta series of all the 6-dimensional 7-modular lattices with an Hermitian structure over Q(−7) are derived.Previous article in issueNext article in issueRecommended articlesCited by (0)Copyright © 2002 Elsevier Science (USA). All rights reserved.