MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  2

Download:
Download as a PDF | Download as a PS
by Michael J. Jacobson, Jr., Hugh C. Williams
http://www.cacr.math.uwaterloo.ca/~mjjacobs/jacobs/PS/PrimePoly.ps
Add To MetaCart

Abstract:

Abstract. Hardy and Littlewood's Conjecture F [10] implies that the asymptotic density of prime values of the polynomials f A (x) = x

Citations

526 A Course in Computational Algebraic Number Theory. Graduate Texts – Cohen - 1993
30 A subexponential algorithm for the determination of class groups and regulators of algebraic number fields – Buchmann - 1988
18 A probabilistic factorization algorithm with quadratic forms of negative discriminant – Seysen - 1987
17 Ein Algorithmus zur Bestimmung der Klassengruppe positiv definiter binarer quadratischer Formen – Dullmann - 1991
16 Ein Algorithmus zur Berechnung der Klassenzahl und des Regulators reellquadratischer Ordnungen – Abel - 1994
14 Numerical sieving devices: Their history and some applications. Nieuw Archief voor Wiskunde, series 4 – Lukes, Patterson, et al. - 1995
13 On the class number of the corpus – Littlewood - 1928
12 An algorithm of subexponential type computing the class group of quadratic orders over principal ideal domains, Algorithmic Number Theory - ANTSII (Université Bordeaux I – Paulus
11 Calculs de nombres de classes et de régulateurs de corps quadratiques en temps sous-exponentiel, Séminaire de Théorie des Nombres – Cohen, Diaz, et al. - 1993
11 Integer sequences having prescribed quadratic character – Lehmer, Lehmer, et al. - 1970
8 On the conjecture of Hardy and Littlewood concerning the number of primes of the form n – Shanks - 1960
7 A rigorous subexpoential algorithm for computation of class groups – Hafner, McCurley - 1989
5 Improved approximations for Euler products, Number Theory – Bach - 1995
5 The multiple polynomial quadratic – Silverman - 1987
4 Ramanujan's function (n – Lehmer - 1943
4 A very fast electronic number sieve – Lukes - 1995
3 Report on some calculations of prime numbers, Nieuw Archief voor Wiskunde (2) 20 – Beeger - 1939
3 Quadratic polynomials which have a high density of prime values – Fung, Williams - 1990
3 Il contributo italiano alla tavola dei numeri primi, Rivista di Matematica della Universit`a di Parma 2 – Poletti - 1951
2 Partitio numerorum III: On the expression of a number as a sum of primes – Hardy, Littlewood - 1923
2 Computational techniques in quadratic – Jacobson - 1995
2 class group computation in quadratic orders – Subexponential - 1999
2 Computation of the class number of a real quadratic Utilitas Mathematica 41 – Mollin, Williams - 1992