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The universal quaternary quadratic form with the maximal discriminant
Author(s) -
Iwabuchi Hiromu
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/s002557930001617x
Subject(s) - mathematics , discriminant , quaternary , quadratic equation , pure mathematics , combinatorics , geometry , artificial intelligence , paleontology , geology , computer science
A positive definite integral quadratic form over rational integers is said to be universal, if it represents all positive integers. The universal quaternary quadratic form is determined with the maximal discriminant, which is 1073/4.