page 77, l. 11 (E Robin Chapman) — “lost in translation!”.pdf

Jacques Martinet Last update: May 7th, 2007 Erratum to Perfect Lattices in Euclidean Spaces Note.The English edition of my book takes into account the (numerous) errors detected early enough in the French edition. Some of the errors listed below are reproduced from the French edition. They are marked “F E”, and are quoted in the French erratum. Amazingly, I introduced some errors while making the translation into English. These are marked “E”. page 41 (F E; Gabriele Nebe). In Theorem 2.2.8, replace `4 ´(n−1)/2 by `4 ´n(n−1)/2 . 3 3 page 48, last line: replace Λ = λuλ (Λ) by Λ = λu(Λ) page 64, line 12: replace 1991 by 1891 page 65, line -11: replace there by their page 77, l. 11 (E; Robin Chapman) — “lost in translation!”: read: of V by V/W where W is the intersection . . . page 80, (E; after Robin Chapman): l. 4 to 6, suppress The derivative . . . page 182. (E) In the fourth column of the table, exchange 2048 and 2300. pages 190–194 (F E). Robin Chapman (www.maths.ex.ac.uk/ rjc/rjc.html) pointed out e an imperfection at the end of the long induction process used to prove Korkine and Zolotareff’s Theorem 6.1.2. page 202 (E), displayed formula in Theorem 6.4.6. The summation is n n X instead of X . i=1 i−1 page 203, l. 7–8 (E): γ 5/2 3 instead of 2. 5 page 213, l. P 7 , col. 5 (E): 180 · 3 instead of 1803 . 7 page 215, l. P 27 , col. 6 (F E): P