MathDB
Miklos Schweitzer 1970_4

Source:

October 22, 2008
modular arithmeticquadraticsfunctionabsolute valuenumber theory proposednumber theory

Problem Statement

If c c is a positive integer and p p is an odd prime, what is the smallest residue (in absolute value) of ∑n=0p−12(2nn)cn  (mod  p ) ? \sum_{n=0}^{\frac{p-1}{2}} \binom{2n}{n}c^n \;(\textrm{mod}\;p\ ) \ ? J. Suranyi
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