Higher dimensional diophantine problems
نویسندگان
چکیده
منابع مشابه
Higher Dimensional Diophantine Problems
1. Rational points. A classical conjecture of Mordell states that a curve of genus ^ 2 over the rational numbers has only a finite number of rational points. Let K be a finitely generated field over the rational numbers. Then the same statement should hold for a curve defined over K, and a specialization argument due to Néron shows in fact that this latter statement is implied by the correspond...
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Let N = pq be an RSA modulus, i.e the product of two large primes p and q. Without loss of generality, we assume that q < p. Morever, throughout this paper we assume that the primes p and q are balanced, in other words, that the bitsizes of the primes are equal so that q < p < 2q. Let e, d be the public and secret exponents satisfying ed ≡ 1 (mod φ(n)) where φ(n) = (p−1)(q−1) is the Euler totie...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1974
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1974-13516-0