10.12.2012 Views

Prime Numbers

Prime Numbers

Prime Numbers

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

570 REFERENCES<br />

[Schönhage and Strassen 1971] A. Schönhage and V. Strassen. Schnelle<br />

Multiplikation grosser Zahlen. Computing (Arch. Elektron. Rechnen),<br />

7:281–292, 1971.<br />

[Schoof 1982] R. Schoof. Quadratic fields and factorization. In H. Lenstra, Jr. and<br />

R. Tijdeman, editors, Computational methods in number theory, Part I,<br />

volume 154 of Math. Centre Tracts, pages 235–286. Math. Centrum, 1982.<br />

[Schoof 1985] R. Schoof. Elliptic curves over finite fields and the computation of<br />

square roots mod p. Math. Comp., 44:483–494, 1985.<br />

[Schoof 1995] R. Schoof. Counting points on elliptic curves over finite fields. J.<br />

Théor. Nombres Bordeaux, 7:219–254, 1995. Les Dix-huitèmes Journées<br />

Arithmétiques (Bordeaux, 1993).<br />

[Schoof 2004] R. Schoof. Four primality proving algorithms. In J. Buhler and<br />

P. Stevenhagen, editors Cornerstones in algorithmic number theory<br />

(tentative title), a Mathematical Sciences Research Institute Publication.<br />

Cambridge University Press, to appear.<br />

[Schroeder 1999] M. Schroeder. Number Theory in Science and Communication,<br />

volume 7 of Springer Series in Information Sciences. Springer–Verlag,<br />

1999. Corrected printing of the third (1997) edition.<br />

[Scott 1999] M. Scott, 1999. Private communication.<br />

[Selfridge and Hurwitz 1964] J. Selfridge and A. Hurwitz. Fermat numbers and<br />

Mersenne numbers. Math. Comp., 18:146–148, 1964.<br />

[Semaev 1998] I. Semaev. Evaluation of discrete logarithms in a group of p-torsion<br />

points of an elliptic curve in characteristic p. Math. Comp., 67:353–356,<br />

1998.<br />

[Seroussi et al. 1999] G. Seroussi, N. Smart, and I. Blake. Elliptic Curves in<br />

Cryptography, volume 265 of London Math. Soc. Lecture Note Series.<br />

Cambridge University Press, 1999.<br />

[Shamir 1999] A. Shamir. Factoring large numbers with the TWINKLE device<br />

(extended abstract). In Ç. Koç and C. Paar, editors, Cryptographic<br />

Hardware and Embedded Systems, First International Workshop, CHES<br />

’99, Worcester, MA, volume 1717 of Lecture Notes in Computer Science,<br />

pages 2–12. Springer–Verlag, 1999.<br />

[Shanks 1971] D. Shanks. Class number, a theory of factorization, and genera. In<br />

1969 Number Theory Institute, Stony Brook, N.Y., volume 20 of Proc.<br />

Sympos. Pure Math., pages 415–440. Amer. Math. Soc., 1971.<br />

[Shanks and Schmid 1966] D. Shanks and L. Schmid. Variations on a theorem of<br />

Landau. Part I. Math. Comp., 20:551–569, 1966.<br />

[Shlesinger 1986] M. Shlesinger. On the Riemann hypothesis: a fractal random<br />

walk approach. Physica, 138A:310–319, 1986.<br />

[Shor 1994] P. Shor. Algorithms for quantum computation: discrete logarithms<br />

and factoring. In Proc. 35th Annual Symp. Found. Comp. Sci., pages<br />

124–134, 1994.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!