Saturday 15 October 2016

number theory - Write a single congruence?


Write a single congruence that is equivalent to the pair of congruences:



$x\equiv 1(\mod4)$ and $x\equiv 2 (\mod 3)$.




I am new to Number Theory/ Modular Arithmetic. Just started reading the theory from a book yesterday. Earlier I had read about it a little on the internet. I know the basic definitions and some properties. I do not understand the question properly. What does writing a single congruence mean? Does it mean I have to find $x$? How do I solve this question. Do I need to use any theorem like the Chinese Remainder Theorem or something else? I am stuck. Please help.

No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...