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Miklós Schweitzer
1970 Miklós Schweitzer
4
4
Part of
1970 Miklós Schweitzer
Problems
(1)
Miklos Schweitzer 1970_4
Source:
10/22/2008
If
c
c
c
is a positive integer and
p
p
p
is an odd prime, what is the smallest residue (in absolute value) of
∑
n
=
0
p
−
1
2
(
2
n
n
)
c
n
(
mod
p
)
?
\sum_{n=0}^{\frac{p-1}{2}} \binom{2n}{n}c^n \;(\textrm{mod}\;p\ ) \ ?
n
=
0
∑
2
p
−
1
(
n
2
n
)
c
n
(
mod
p
)
?
J. Suranyi
modular arithmetic
quadratics
function
absolute value
number theory proposed
number theory