THE ARITHMETIC OF NUMBER RINGS

By Peter Stevenhagen. 2008

50 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4003cb67b4a0dcfe50ca89998aea3caac771f86b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. David Mandell Freeman
2. T. Streng
3. Dan Boneh
4. Brent Waters
5. Allison Bishop
6. Peter Stevenhagen
7. Craig Gentry
8. Xavier Boyen

Citations in the corpus

• Complex multiplication of abelian surfaces (2010, background): “2 of [81]), both cases imply that the roots of g have multiplicity at least 2 as roots of H1.”
• Homomorphic Signatures for Polynomial Functions (2011, background): “A survey of arithmetic in number rings can be found in [36]; here we summarize the key points.”
• The number field sieve (2008, methodology): “A number field is a finite field extension of the field Q of rational numbers, and a number ring [Stevenhagen 2008] is by definition a subring of a number field.”