On a product in the classical Adams spectral sequence.

In this paper, we prove the nontriviality of the product $h_0b_0tilde {delta }_sin {rm Ext}_A^{s+3,t(s)}(mathbb {Z}_p,mathbb {Z}_p)$ in the classical Adams spectral sequence, where $pgeq 11$, $4leq s<p$, $t(s)=2(p-1)[sp^3+(s-1)p^2+(s-1)p+(s-2)]+(s-4)$ and $tilde {delta }_s$ was obtained by X. Wang and Q. Zheng. [ABSTRACT FROM AUTHOR]