On a paper of Hasse concerning the Eisenstein reciprocity law |
| |
| Authors: | S V Vostokov M A Ivanov G K Pak |
| |
| Institution: | 1.St. Petersburg State University,St. Petersburg,Russia |
| |
| Abstract: | In the present paper, necessary and sufficient conditions are given for the equality of the power rezidue symbols
( \fracaa )n {\left( {\frac{\alpha }{a}} \right)_n} and
( \fracaa )n {\left( {\frac{\alpha }{a}} \right)_n} in the cyclotomic field ℚ(ζ
n
), 2 ∤ n, for a ∈ ℤ, (a, n) = 1. This result is a generalization of the classical Eisenstein reciprocity law and its continuation in a Hasse’s paper.
Bibliography: 3 titles. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
