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Number Theory

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Number Theory Sites

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1. Integer Relations
To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.

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2. A Mechanical Proof of Quadratic Reciprocity
A paper by David M. Russinoff describing the use of the Boyer-Moore theorem prover in mechanically generating a proof of the Law of Quadratic Reciprocity. PS/PDF.

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3. About Two Months of Computing
Work on the 196 palindrome problem by Tim Irvin.

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4. Active Elementary Number Theory
Interactive (Javascript) expression of a number as a sum of two squares.

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5. Application of Digital Root
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.

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6. Covers, Sumsets and Zero-sums
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.

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7. Fermat's Little Theorem
With notes on Carmichael numbers and the life of R.D. Carmichael.

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8. Frequently Asked Questions
Number Theory section of the sci.math FAQ list.

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9. Hakmem Continued Fractions
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.

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10. Infinite Series Theorem
Addresses the question whether a series of rational functions converges to a rational number.

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