Can I read Legendre-Teege Reciprocity on EtoBox?

Legendre-Teege Reciprocity by Villarino, Mark B. is a scholarly article available to read on EtoBox.

What is Legendre-Teege Reciprocity about?

Legendre published the first attempted proof of the law of Quadratic Reciprocity. But, in its final form (1797), it had a gap. Some 125 years later Herman Teege published the first rigorous proof of the unproven hypothesis which formed that gap. Then, 48 years later Kenneth Rogers published a second (but implicit) proof. These proofs lifted Legendre's attempt to the list of complete proofs. No detailed exposition of these proofs appears in the literature. Our paper fills that gap.

Author

Villarino, Mark B.

Published

2022

Language

EN