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Number of points on a surface modulo p

I am guessing that the number of solutions $(x_1,x_2,\cdots ,x_s)$ modulo $p$ of the system of polynomials $$x_1x_2\cdots x_s=1,$$ $$(x_1-1)(x_2-1)\cdots (x_s-1)=u$$ where $u$ is non-zero modulo $p$. ...
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1 vote
1 answer
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why is $R := \mathbb{Z}p +XF[[X]]$ an almost valuation domain?

Recall that an integral domain $R$ with quotient field $K$ is an almost valuation domain if for every $0 \not= x \in K$, there is a positive integer $n$ (depending on $x$) such that $x^n \in R$ or $x^{...
Antony's user avatar
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k specific prime factors guess and related prime guess [duplicate]

there is no more than one group of continuous composite sequence of length k composed of only k different specific prime factors. for example 2 3 5[8 9 10]just only one group. I have prove that k ...
光子精灵S's user avatar