波文猜想

成飛

摘 要：瑞士數(shù)學家雅各布伯努利（JakobBernoulli，1654-1705）研究了等冪和問題，一個歷史悠久的的問題，n個連續(xù)自然數(shù)的p次方冪，S=1^p+2^p+3^p+┉+n^p;雅各布貝努利在數(shù)學上的貢獻涉及微積分、微分方程、無窮級數(shù)求和、解析幾何、概率論以及變分法等領域。波文猜想也是關于等冪和問題。

關鍵詞：波文猜想;伯努利等冪和

Abstract：Swiss mathematician Jacob Bu Bernoulli （Jakob Bernoulli， 1654-1705） studied the idempotent and problem， a long history of problems， n successive natural numbers of P power， S=1^p+2^p+3^p+┉+n^p. Jacob ?Bernoulli's contribution to mathematics involves calculus， differential equations， summation of infinite series， analytic geometry， probability theory， and variational methods. Bowen conjecture is also about idempotent and problem.

Key words：Bowen conjecture;Bernoulli idempotent;