Open Access Senior Thesis
Bachelor of Science
Combinatorial techniques can frequently provide satisfying “explanations” of various mathematical phenomena. In this thesis, we seek to explain a number of well known number theoretic congruences using combinatorial methods. Many of the results we prove involve the Fibonacci sequence and its generalizations.
Rouse, Jeremy, "Combinatorial Proofs of Congruences" (2003). HMC Senior Theses. 154.