Artin's Reciprocity Theorem
A general Reciprocity Theorem for all orders. If 
is a Number Field and 
a finite integralextension, then there is a Surjection from the group of fractional Ideals prime to thediscriminant, given by the Artin symbol. For some cycle 
, the kernel of this Surjection contains eachPrincipal fractional Ideal generated by an element congruent to 1 mod .
- Brauer Group
- Brauer Number
- Brauer-Severi Variety
- Brauer's Theorem
- Braun's Conjecture
- Breeder
- Brelaz's Heuristic Algorithm
- Brent-Salamin Formula
- Brent's Factorization Method
- Brent's Method
- Bretschneider's Formula
- Brianchon Point
- Brianchon's Theorem
- Brick
- Bride's Chair
- Bridge Card Game
- Bridge (Graph)
- Bridge Index
- Bridge Knot
- Bridge Number
- Bridge of Königsberg
- Brill-Noether Theorem
- Bring-Jerrard Quintic Form
- Bring Quintic Form
- Brioschi Formula