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On the Lattice‐Points on Curves of Genus
Author(s) -
Mahler K.
Publication year - 1936
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s2-40.1.558-t
Subject(s) - mathematics , assertion , invariant (physics) , lattice (music) , transformation (genetics) , pure mathematics , inequality , genus , line (geometry) , combinatorics , mathematical analysis , geometry , mathematical physics , botany , biology , computer science , acoustics , physics , biochemistry , chemistry , gene , programming language
[ Proc. London Math. Soc. (2), 39 (1935), 431–466.] P. 432, “Two cubic curves which have the same absolute invariant J can be transformed into one another by a birational transformation, and this transformation has rational coefficients when there are points with rational coordinates on both curves .” The second assertion is not true, but no use of it is made in the paper. P. 441, line 5 from below : Change “ z/a ” into “ 1/a ”. P. 445, lines 1, 3, 5, 7 from below : Change the signs “ = ” into “ < ”. P. 446, line 4: Replace “the last two inequalities” by “the last eight inequalities”.