Number Theory

MAT 425 (2645)
MAT 525 (2668)

Spring Semester, 2000

Assignments in the Course

Handouts in the Course

Congruent Numbers

For more information on congruent numbers and elliptic curves see the web of Professor Karl Rubin of Stanford University for his SUMO slides.

Remember that the m = 2 n criterion is conjectural in the direction of concluding that a number is actually congruent.

The Siegel Ellipse

How to solve the congruence 5 x^2 + 11 y^2 = 1 (mod m) for all integers m even though there is no integer solution (x, y). Views:

• ordinary HTML
• markup source
• DVI (if you have windvi or xdvi)
• PDF (if you have Acrobat Reader)

General information about the course.

Related Items

• Notes on an Albany Algebra Seminar presentation, April, 2000. Also available in DVI format.
  
  
• Notes on an Albany Everyone Seminar presentation, October, 1993.

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