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- W1831994763 abstract "In this paper we give an algorithm for enumerating all primitive (positive) definite maximal Z-valued quadratic forms Q in n >= 3 variables with bounded class number h(Q) = 3 variables. Using this we determine that there are exactly 115 primitive positive definite maximal Z-valued quadratic forms in n >= 3 variables of class number one, and produce a list of them. In a future paper we will complete this chain of ideas by extending these algorithms to allow the enumeration of all primitive maximal totally definite O_F-valued quadratic lattices of rank n >= 3, where O_F is the ring of integers of any totally real number field F." @default.
- W1831994763 created "2016-06-24" @default.
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- W1831994763 date "2011-10-09" @default.
- W1831994763 modified "2023-09-27" @default.
- W1831994763 title "Enumerating maximal definite quadratic forms of bounded class number over Z in n >= 3 variables" @default.
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