
06001422
j
2012d.00049
Wang, Shuhong
The early history of algebraic number theory.
J. Northwest Univ., Nat. Sci. Ed. 40, No. 6, 11201123 (2010).
2010
Northwest University, Xi'an, Shaanxi
ZH
A30
integer theory
complex integer theory
law of higher reciprocity
unique factorization
algebraic number theory
Summary: This paper discusses the early history of algebraic number theory by literature research and concept analyzing, analyzes the key problem of unique factorization by the law of higher reciprocity and Fermat last theorem. Results indicate that algebraic number theory develops from integer theory to complex integer theory and then from complex integer theory to widelyapplied algebraic number theory. Algebraic number theory arises with the introduction of some new algebraic tools such as complex integers and ideal number.