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As a direct result of artificial intelligence research, computers are now expert players in a variety of popular games, including Checkers, Chess, Othello (Reversi), and Backgammon. Yet one game continues to elude the efforts of computer scientists: Go, also known as Igo in Japan, Weiqi in China, and Baduk in Korea. Due in part to the strategic complexity(More)
The irreducibility of a polynomial in a prime modulus implies irreducibility over the rationals. However, the converse is certainly not true. In fact, there are some polynomials that are irreducible over the rationals yet reducible in every prime modulus. We show that the nth cyclotomic polynomial reduces modulo all primes if and only if the discriminant of(More)
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