When p= 1, p series degenerates into harmonic series. P series is an important positive series, which can be used to judge the convergence and divergence of other positive series.
The shape is1+1/2p+1/3p+…+1/NPP+… (p > 0) series is called p series. When p= 1, the famous harmonic series is obtained:1+1/2+1/3+…+1/n+…. P series is an important positive series, which is used to judge the convergence and divergence of other positive series.
Riemann function is related to Riemann conjecture;
Riemann conjecture is an important unsolved conjecture in mathematics, and the distribution of nontrivial zeros lies on the straight line of Re(s)= 1/2 on the complex plane. For further understanding, see Riemann conjecture.
The convergence and divergence of P series are as follows: when p> is 1, P series converges; When1≥ p > 0, p is divergent. The staggered P series are as follows:1-1/2p+1/4p+…+(-1) * 65438+. 0) series is called staggered p series. Interlaced P series is an important interlaced series.