## 18.104 Seminar in Analysis: Applications to Number Theory (MIT)

18.104 is an undergraduate level seminar for mathematics majors. Students present and discuss subject matter taken from current journals or books. Instruction and practice in written and oral communication is provided. The topics vary from year to year. The topic for this term is Applications to Number Theory.

- Source: Massachusetts Institute of Technology
- Language: English
- Author: Ciubotaru, Dan
- Lisence Terms: Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm
- Tags: Infinitude of the primes, Summing powers of integers, Bernoulli polynomials, sine product formula, $\zeta(2n)$, Fermat's Little Theorem, Fermat's Great Theorem, Averages of arithmetic functions, arithmetic-geometric mean, Gauss' theorem, Wallis's formula, Stirling's formula, prime number theorem, Riemann's hypothesis, Euler's proof of infinitude of primes, Density of prime numbers, Euclidean algorithm, Golden Ratio,
- Course Publishing Date: Mar 15, 2007

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