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Small positive values of indefinite ternary forms
Author(s) -
Jackson Terence
Publication year - 2002
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300016168
Subject(s) - mathematics , ternary operation , statistics , pure mathematics , computer science , programming language
Abstract For an indefinite quadratic form f ( x 1 ,…, x n ) of discriminant d . let P ( f ) denote the greatest lower bound of the positive values assumed by f for integers x 1 , …, x n . This paper investigates the values of P 3 /| d | for nonzero ternary forms of signature −1, and finds the only remaining class of forms withP 3 / | d | > 1 2 .