chamberland60. 171KB Jun 04 2011 12:08:31 AM
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In Section 2 upper and lower bounds for the n th prime-prime are derived, in Section 3 the prime-prime number theorem is proved with error bounds equivalent to that of the prime
fortunately, the method used by Mazur [4] to determine the Q -rational points on more conventional modular curves do not seem to apply directly to X N ′ (p) as its
where ω(m) denotes the number of distinct prime factors of the positive integer m... Fixing such p, q and r, the number of acceptable values of such n ≤ x does not
Thus, by Dirichlet’s Theorem on primes in arithmetic progressions, it follows that there exist infinitely many prime numbers p such that p ≡ a (mod M ). It is clear that these
Aigner’s concept of elite primes can, in analogy to that of Fermat numbers, be generalized too..
(There is actually some sense in this, since for families of curves defined over prime fields the space complexity of the deformation algorithm is quadratic in log( q ), rather
In this paper, it is proven that every multiplicative bijective map, Jordan bijective map, Jordan triple bijective map, and elementary surjective map on triangular algebras is
It turns out that most properties of classical Bezoutians can be analogously generalized to the case of polynomial Bezoutians in the framework of algebraic methods..