AN UPFER BOUND OF CLASS NUMBER OFCYCLOTOMIC FIELD $Q(\zeta_{p})$
Citation：
Wang Lan.AN UPFER BOUND OF CLASS NUMBER OFCYCLOTOMIC FIELD $Q(\zeta_{p})$[J].Chinese Annals of Mathematics B,1991,12(1):90~95
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Authors：
Wang Lan;
Abstract：
Let $h_{p}$ be the class number of cyclotomic field $Q(\zeta_{p})$, where $p$ is a prime number.$Slavutski^{[4]}$ proved that $h_{p}\leq 20((n\div 12)p)^{(p-2)/2}$.The author improves it by proving $h_{p}\leq 10((Pi\div 12)p)^{(p-2)/2}$.
