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README.md

SIMUW 2012 -- The Riemann Hypothesis and the Birch and Swinnerton-Dyer Conjecture

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Course Goals

  • Learn the powerful free open source math software system Sage.
  • Learn what the Riemann Hypothesis really is, and much interesting mathematics along the way: prime numbers, Fourier series, some advanced Calculus, and more.
  • Learn what the Birch and Swinnerton-Dyer conjecture states, and something about what is known about it.

NOTES

  • You must be logged into simuw.sagenb.org in order for clicking on the worksheet links below create a worksheet!
  • Clicking on the link creates a brand '''new''' worksheet. If you then edit it, you'll find your modified worksheet in your home screen.

Day 1: Prime Numbers

Day 2: A Precise Statement of the Riemann Hypothesis

Day 3: Fourier Analysis and Prime Numbers

Day 4: The Riemann Spectrum

Day 5: Elliptic Curves and the Congruent Number Problem

Day 6: Modular forms, elliptic curves, and the Congruent number problem

Day 7: Congruent Numbers

Day 8: Further Connections

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