-
1
-
-
0023599876
-
Matrix multiplication via arithmetic progressions
-
preprint, 1987, New York
-
D. Coppersmith and S. Winograd, Matrix multiplication via arithmetic progressions, preprint, 1987. Extended abstract in Proc. 19th ACM Sympos. on Theory of Comput. ACM, New York, 1987, pp. 1–6.
-
(1987)
Extended Abstract in Proc. 19th ACM Sympos. on Theory of Comput. ACM
, pp. 1-6
-
-
Coppersmith, D.1
Winograd, S.2
-
2
-
-
0023294681
-
Hermite normal form computation using modulo determinant arithmetic
-
P. D. Domich, R. Kannan, and L. E. Trotter, Hermite normal form computation using modulo determinant arithmetic, Math. Oper. Res. 12 (1987), 50–59.
-
(1987)
Math. Oper. Res.
, vol.12
, pp. 50-59
-
-
Domich, P.D.1
Kannan, R.2
Trotter, L.E.3
-
3
-
-
0003439018
-
-
Fleischer, Lepzig, Translation into English by Arthur A. Clarke, S. J., reprinted by Springer-Verlag, New York
-
K. F. Gauss, Disquisitiones arithmeticœ, Fleischer, Lepzig, 1801. Translation into English by Arthur A. Clarke, S. J., reprinted by Springer-Verlag, New York, 1985.
-
(1985)
Disquisitiones arithmeticœ
, pp. 1801
-
-
Gauss, K.F.1
-
4
-
-
84968512975
-
Gauss’ class number problem for imaginary quadratic fields
-
D. Goldfeld, Gauss’ class number problem for imaginary quadratic fields, Bull. Amer. Math. Soc. 13 (1985), 23–37.
-
(1985)
Bull. Amer. Math. Soc.
, vol.13
, pp. 23-37
-
-
Goldfeld, D.1
-
6
-
-
0004133524
-
-
Translation into English by Peter Shiu, Springer-Verlag, New York
-
Hua Loo Keng, Introduction to number theory. Translation into English by Peter Shiu, Springer-Verlag, New York, 1982.
-
(1982)
Introduction to Number Theory
-
-
Keng, H.L.1
-
7
-
-
0001047308
-
Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix
-
Ravindran Kannan and Achim Bachem, Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix, SIAM J. Comput. 8 (1979), 499–507.
-
(1979)
SIAM J. Comput.
, vol.8
, pp. 499-507
-
-
Kannan, R.1
Bachem, A.2
-
8
-
-
0003657590
-
-
2nd ed., Addison-Wesley, Reading, MA
-
D. E. Knuth, The art of computer programming, Vol. 2: Seminumerical algorithms, 2nd ed., Addison-Wesley, Reading, MA, 1981.
-
(1981)
The Art of Computer Programming, Vol. 2: Seminumerical Algorithms
-
-
Knuth, D.E.1
-
9
-
-
4243143259
-
Algorithms in number theory
-
008, Dep. of Computer Science, Univ. of Chicago
-
A. K. Lenstra and H. W. Lenstra, Jr., Algorithms in number theory, Technical Report 87–008, Dep. of Computer Science, Univ. of Chicago, 1987.
-
(1987)
Technical Report
, vol.87
-
-
Lenstra, A.K.1
Lenstra, H.W.2
-
10
-
-
0000735764
-
On the calculation of regulators and class numbers of quadratic fields
-
(J. V. Armitage, ed.), Cambridge Univ. Press, New York
-
H. W. Lenstra, Jr., On the calculation of regulators and class numbers of quadratic fields, Journées Arithmétiques 1980 (J. V. Armitage, ed.), Cambridge Univ. Press, New York, 1982.
-
(1982)
Journées Arithmétiques 1980
-
-
Lenstra, H.W.1
-
11
-
-
0005464810
-
Cryptographic key distribution and computation in class groups
-
(Proc. NATO Advanced Study Inst, on Number Theory and Applications, Banff, 1988) (Richard A. Molin, ed.), Kluwer, Boston
-
Kevin S. McCurley, Cryptographic key distribution and computation in class groups, Number Theory and Applications (Proc. NATO Advanced Study Inst, on Number Theory and Applications, Banff, 1988) (Richard A. Molin, ed.), Kluwer, Boston, 1989.
-
(1989)
Number Theory and Applications
-
-
McCurley, K.S.1
-
12
-
-
0040574099
-
Classical problems in number theory
-
Warsaw
-
W. Narkiewicz, Classical problems in number theory, PWN, Polish Sci. Publ., Warsaw, 1986.
-
(1986)
PWN, Polish Sci. Publ.
-
-
Narkiewicz, W.1
-
13
-
-
0040235097
-
Fast, rigorous factorization and discrete logarithm algorithms
-
(Proc. Japan-US Joint Seminar, June 1986, Kyoto, Japan), Academic Press, Orlando
-
Carl Pomerance, Fast, rigorous factorization and discrete logarithm algorithms, Discrete Algorithms and Complexity (Proc. Japan-US Joint Seminar, June 1986, Kyoto, Japan), Academic Press, Orlando, 1987, pp. 119–143.
-
(1987)
Discrete Algorithms and Complexity
, pp. 119-143
-
-
Pomerance, C.1
-
14
-
-
34250459760
-
Schnelle Multiplikation grosser Zahlen
-
A. Schönhage and V. Strassen, Schnelle Multiplikation grosser Zahlen, Computing 7 (1971), 281–292.
-
(1971)
Computing
, vol.7
, pp. 281-292
-
-
Schönhage, A.1
Strassen, V.2
-
15
-
-
0015197550
-
Schnelle Berechnung von Kettenbruchenentwicklungen
-
A. Schönhage, Schnelle Berechnung von Kettenbruchenentwicklungen, Acta Inform. 1 (1971), 139–144.
-
(1971)
Acta Inform.
, vol.1
, pp. 139-144
-
-
Schönhage, A.1
-
16
-
-
0038933271
-
Quadratic fields and factorization, Computation Methods in Number Theory
-
(R. Tijdeman and H. W. Lenstra, Jr., eds.), Amsterdam
-
R. Schoof, Quadratic fields and factorization, Computation Methods in Number Theory (R. Tijdeman and H. W. Lenstra, Jr., eds.), Math. Centrum Tract 154, Amsterdam, 1982, pp. 235–286.
-
(1982)
Math. Centrum Tract
, vol.154
, pp. 235-286
-
-
Schoof, R.1
-
18
-
-
84966252702
-
A probabilistic factorization algorithm with quadratic forms of negative discriminant
-
Martin Seysen, A probabilistic factorization algorithm with quadratic forms of negative discriminant, Math. Comp. 48 (1987), 757–780.
-
(1987)
Math. Comp.
, vol.48
, pp. 757-780
-
-
Seysen, M.1
-
19
-
-
84966250601
-
Class number, a theory of factorization, and genera
-
Amer. Math. Soc., Providence, RI
-
Daniel Shanks, Class number, a theory of factorization, and genera, Proc. Sympos. Pure Math., Vol. 20, Amer. Math. Soc., Providence, RI, 1971, pp. 415–440.
-
(1971)
Proc. Sympos. Pure Math.
, vol.20
, pp. 415-440
-
-
Shanks, D.1
-
20
-
-
0009365008
-
Five number-theoretic algorithms
-
Univ. of Manitoba, Congressus Numerantium, No. VII, Utilitas. Math., Winnipeg
-
——, Five number-theoretic algorithms, Proc. Second Manitoba Conference on Numerical Mathematics, Univ. of Manitoba, Congressus Numerantium, No. VII, Utilitas. Math., Winnipeg, 1973, pp. 51–70.
-
(1973)
Proc. Second Manitoba Conference on Numerical Mathematics
, pp. 51-70
-
-
Shanks, D.1
-
21
-
-
0022583143
-
Solving sparse linear equations over finite fields
-
Douglas H. Wiedemann, Solving sparse linear equations over finite fields, IEEE Trans. Inform. Theory 32 (1986), 54–62.
-
(1986)
IEEE Trans. Inform. Theory
, vol.32
, pp. 54-62
-
-
Wiedemann, D.H.1
|