MA378 paper information
MA378
Number Theory
Paper for MA378
Research a number theoretic subject. You should perform some explorations of your own and study some references to other peoples' work on the topic. Explanations should be in clear, complete English sentences.
The paper may be as long as is required to clearly state what you have found, but should be at least two double-spaced typed pages long.
The paper will be due at the beginning of class,
Friday, May 18, 2007
I would like each person to write about a different topic, so if you have a favorite question, you should claim it for your paper as soon as possible.
Some sample topics are:
Amicable Numbers Arithmetic Functions,
Cannonball stacking Problems Carmichael Numbers,
the Collatz Conjecture Congruence Arithmetic,
Continued Fractions Decimal Fractions
Diophantine Equations Divisibility Tests
Egyptian Fractions Factorization of Numbers,
Farey Sequences Fermat's Last Theorem,
Fermat Numbers the Fibonacci Sequence,
the Four Square Theorem Generating Functions in Number Theory,
the Geometry of Numbers Goldbach's Conjecture,
extensions of the Integers Irrational and Transcendental Numbers,
Kapreker's constant Number patterns (pick some),
Partitions Pascal's Triangle,
Pell Equations Perfect Numbers,
Primality tests Primes in Arithmetic Progressions,
properties of Prime Numbers the Prime Number Theorem,
Pythagorean Triples Quadratic Forms,
Quadratic Residues Rational Approximations,
Sums of Digits Sums of Squares,
Triangular-Square-Pentagonal-... Numbers Twin primes,
Waring's Problem Reimann's Zeta Function,
things we've brought up in class.
e-mail: john.rickert@rose-hulman.edu
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