Opened 4 years ago

Last modified 3 years ago

#24098 closed enhancement

S_hilbert_symbol() helper function to find integer with negative Hilbert symbol for primes in at set S — at Version 1

Reported by: annahaensch Owned by:
Priority: minor Milestone: sage-8.8
Component: basic arithmetic Keywords: sd90
Cc: mroy, sbrudzin, jduque Merged in:
Authors: Anna Haensch, Manami Roy, Juanita Duque, Sandi Rudzinski Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

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Description (last modified by annahaensch)

This is an implementation of algorithm 3.4.1 from Markus Kirschmer's "Definite quadratic and hermitian forms with small class number." Given a non-square b and a set of primes S, the function returns a number a which has negative Hilbert symbol with respect to b at precisely the primes in S.

This is a function in service to algorithm 3.4.3, quadratic_form_form_local_invariants(), ticket TK.

Change History (1)

comment:1 Changed 4 years ago by annahaensch

  • Description modified (diff)
  • Summary changed from _S_hilbert_symbol() helper function to find integer with negative Hilbert symbol for primes in at set S to S_hilbert_symbol() helper function to find integer with negative Hilbert symbol for primes in at set S
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