The Encyclopedia of Integer Sequences.

Guy, Richard K.; Sloane, N. J. A.; Plouffe, Simon

doi:10.2307/2975000

The American Mathematical Monthly

1997

DOI: 10.2307/2975000

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The Encyclopedia of Integer Sequences.

Richard K. Guy¹,

N. J. A. Sloane²,

Simon Plouffe³

Abstract: This paper gives a brief description of the author's database of integer sequences, now over 35 years old, together with a selection of a few of the most interesting sequences in the table. Many unsolved problems are mentioned. This paper was published (in a somewhat different form) in Sequences and their Applications

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Numerical Invariants of Totally Imaginary Quadratic $\mathbb{Z}[\sqrt{p}]$-orders

Xue

Yang

2016

Taiwanese J. Math.

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Let A be a real quadratic order of discriminant p or 4p with a prime p. In this paper we classify all proper totally imaginary quadratic A-orders B with index w(B) = [B × : A × ] > 1. We also calculate numerical invariants of these orders including the class number, the index w(B) and the numbers of local optimal embeddings of these orders into quaternion orders. These numerical invariants are useful for computing the class numbers of totally definite quaternion algebras.

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Numerical Invariants of Totally Imaginary Quadratic $\mathbb{Z}[\sqrt{p}]$-orders

Xue

Yang

2016

Taiwanese J. Math.

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The Encyclopedia of Integer Sequences.

Cited by 1 publication

References 44 publications

Numerical Invariants of Totally Imaginary Quadratic $\mathbb{Z}[\sqrt{p}]$-orders

Numerical Invariants of Totally Imaginary Quadratic $\mathbb{Z}[\sqrt{p}]$-orders

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