In this paper we use Poincaré’s equations in group variables to de-scribe the motion of a holonomic mechanical sys......

<正> 1. Introduction and Results 1.1 Erds conjecture In 1939, Erds conjectured that the equation (_m~n)=y~k, n>m>1, k≥3......

A standard method is proposed to prove strictly that the Riemann Zeta function equation has no non-trivial zeros. The re......