A new factorization technique using quadratic forms

Mathematics of Computation

Volumn 28, Issue 126, 1974, Pages 625-635

  Lehmer, D H ^a   Lehmer, Emma ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Binary quadratic forms; Factorization; Primality; Representation

Indexed keywords

EID: 84966247376     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1974-0342458-5     Document Type: Article

References (10)

1. J. D. Brillhart and M. A. Morrison, "The factorization of F" Bull. Amer. Math. Soc., v. 77, 1971, 264
2. P. L. Chebyshev, "Surles formes quadratiques," J. Math, v. 16, 1851, 257-282.
3. L. E. Dickson, History of the Theory of Numbers, Washington, 1919
4. R. K. Guy and J. L. Selfridge, Interim report on aliquot series, Conf. Numerical Mathematics, Winnipeg 1971, 557-580.
5. D. H. Lehmer, "An announcement concerning the Delay Line Sieve DLS127," Math. Comp., v. 20, 1966, 645-646.
6. D. H. Lehmer, "The sieve problem for all-purpose computers," Math. Tables and Other Aids to Computation, v. 7, 1953, 6-14
7. D. H. Lehmer, Computer Technology Applied to the Theory of Numbers, Studies in Number Theory, Math. Assoc. Amer, 1969, 117-151.
8. G. B. Mathews, Theory of Numbers, Cambridge, 1892; reprint, New York, 1961, 261-270.
9. D. Shanks, Class Number, A Theory of Factorization and Genera, Proc. Sympos. Pure Math, Amer. Math. Soc., Providence, R.I., 1970, 415-440.
10. J. A. Todd, "A combinatorial problem," J. Mathematical Phys., v. 11, 1932, 321-333