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 a set S — at Version 8
Reported by: | annahaensch | Owned by: | |
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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: | Simon Brandhorst |
Report Upstream: | N/A | Work issues: | |
Branch: | u/annahaensch/_s_hilbert_symbol___helper_function_to_find_integer_with_negative_hilbert_symbol_for_primes_in_at_set_s (Commits, GitHub, GitLab) | Commit: | ec55c0d42702b1bf86f12e9e0cdb13f3c76949d2 |
Dependencies: | Stopgaps: |
Description (last modified by )
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 #24108.
Change History (8)
comment:1 Changed 4 years ago by
- 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
comment:2 Changed 4 years ago by
- Branch set to u/annahaensch/_s_hilbert_symbol___helper_function_to_find_integer_with_negative_hilbert_symbol_for_primes_in_at_set_s
comment:3 Changed 4 years ago by
- Commit set to ec55c0d42702b1bf86f12e9e0cdb13f3c76949d2
- Status changed from new to needs_review
comment:4 Changed 4 years ago by
- Cc manami.roy.90@… sbrudzin@… jduque@… added
comment:5 Changed 4 years ago by
- Cc mroy sbrudzin jduque added; manami.roy.90@… sbrudzin@… jduque@… removed
comment:6 Changed 4 years ago by
- Component changed from quadratic forms to basic arithmetic
comment:7 Changed 4 years ago by
- Keywords sd90 added; #sd90 removed
- 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 a set S
comment:8 Changed 4 years ago by
- Description modified (diff)
- Reviewers set to Simon Brandhorst
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New commits:
Adds function S_hilbert_symbol