Graduation Year
2003
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Arthur Benjamin
Reader 2
Naiomi Cameron
Abstract
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.
Recommended Citation
Rouse, Jeremy, "Combinatorial Proofs of Congruences" (2003). HMC Senior Theses. 154.
https://scholarship.claremont.edu/hmc_theses/154
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