# On a paper of Hasse concerning the Eisenstein reciprocity law

S. V. Vostokov, M. A. Ivanov, G. K. Pak

Research output: Contribution to journalArticlepeer-review

## Abstract

In the present paper, necessary and sufficient conditions are given for the equality of the power residue symbols ${\left( {\frac{\alpha }{a}} \right)_n}$ and ${\left( {\frac{a}{\alpha}} \right)_n}$ in the cyclotomic field $\Bbb Q(\zeta _n)$, $2\nmid n$, for $a \in \Bbb Z, (a,n) = 1$. This result is a generalization of the classical Eisenstein reciprocity law and its continuation in Hasse's paper
Original language English 525-529 Journal of Mathematical Sciences 161 4 https://doi.org/10.1007/s10958-009-9580-2 Published - 2009

## Fingerprint

Dive into the research topics of 'On a paper of Hasse concerning the Eisenstein reciprocity law'. Together they form a unique fingerprint.