Investigate Fermat's Last Theorem (historical perspective) or Lagrange's Four-Square Theorem. 2. Paper Structure
To develop a paper based on by Michael Th. Rassias, you can structure your work as an expository or research-oriented piece that bridges classical theory with competition-style problem solving. 1. Select a Core Topic
Choose a specific area from the book to serve as your paper's foundation:
Explore the properties and applications of functions like the Euler totient ( ) or Möbius function (
Focus on the Law of Quadratic Reciprocity or its application in primality testing. Distribution of Primes: Analyze the
functions or present an elementary proof of the Prime Number Theorem .
Following standard mathematical guidelines, such as those from MIT or the Journal of Number Theory , your paper should include: