- #1
sty2004
- 16
- 0
Hi i am doing self-study of number theory as it looks interesting and enlightening.
Can someone help because I encounter a problem here..
Suppose A = {a1,a1,,,,,,,ak} is a complete residue system modulo k. Prove that for each integer n and each nonnegative integer s there exists a congruence of the form
n ≡ (sum j=0 to s)bj kj ( mod ks+1 )
where bj[tex]\in[/tex] A for each j .
Can someone help because I encounter a problem here..
Suppose A = {a1,a1,,,,,,,ak} is a complete residue system modulo k. Prove that for each integer n and each nonnegative integer s there exists a congruence of the form
n ≡ (sum j=0 to s)bj kj ( mod ks+1 )
where bj[tex]\in[/tex] A for each j .