-
1
-
-
0029499709
-
Randomness-optimal unique element isolation with applications to perfect matching and related problems
-
Chari S., Rohatgi P., and Srinivasan A. Randomness-optimal unique element isolation with applications to perfect matching and related problems. SIAM J. Comput. 24 5 (1995) 1036-1050
-
(1995)
SIAM J. Comput.
, vol.24
, Issue.5
, pp. 1036-1050
-
-
Chari, S.1
Rohatgi, P.2
Srinivasan, A.3
-
2
-
-
57349135143
-
-
L. Lovász, On determinants, matchings, and random algorithms, in: FCT, 1979, pp. 565-574
-
L. Lovász, On determinants, matchings, and random algorithms, in: FCT, 1979, pp. 565-574
-
-
-
-
4
-
-
0002962651
-
Equivalence of free boolean graphs can be decided probabilistically in polynomial time
-
Blum M., Chandra A.K., and Wegman M.N. Equivalence of free boolean graphs can be decided probabilistically in polynomial time. Inform. Process. Lett. 10 (1980) 80-82
-
(1980)
Inform. Process. Lett.
, vol.10
, pp. 80-82
-
-
Blum, M.1
Chandra, A.K.2
Wegman, M.N.3
-
5
-
-
0029214558
-
Designing programs that check their work
-
Blum M., and Kannan S. Designing programs that check their work. J. ACM 42 1 (1995) 269-291
-
(1995)
J. ACM
, vol.42
, Issue.1
, pp. 269-291
-
-
Blum, M.1
Kannan, S.2
-
6
-
-
15944413051
-
Primality and identity testing via Chinese remaindering
-
Agrawal M., and Biswas S. Primality and identity testing via Chinese remaindering. J. ACM 50 4 (2003) 429-443
-
(2003)
J. ACM
, vol.50
, Issue.4
, pp. 429-443
-
-
Agrawal, M.1
Biswas, S.2
-
7
-
-
0026930543
-
IP = PSPACE
-
Shamir A. IP = PSPACE. J. ACM 39 4 (1992) 869-877
-
(1992)
J. ACM
, vol.39
, Issue.4
, pp. 869-877
-
-
Shamir, A.1
-
8
-
-
0031651077
-
Probabilistic checking of proofs: a new characterization of NP
-
Arora S., and Safra S. Probabilistic checking of proofs: a new characterization of NP. J. ACM 45 1 (1998) 70-122
-
(1998)
J. ACM
, vol.45
, Issue.1
, pp. 70-122
-
-
Arora, S.1
Safra, S.2
-
9
-
-
0000006297
-
A probabilistic remark on algebraic program testing
-
DeMillo R.A., and Lipton R.J. A probabilistic remark on algebraic program testing. Inform. Process. Lett. 7 4 (1978) 193-195
-
(1978)
Inform. Process. Lett.
, vol.7
, Issue.4
, pp. 193-195
-
-
DeMillo, R.A.1
Lipton, R.J.2
-
10
-
-
84925463455
-
Probabilistic algorithms for sparse polynomials
-
Springer-Verlag, Berlin
-
Zippel R. Probabilistic algorithms for sparse polynomials. Proc. ISSAC (1979), Springer-Verlag, Berlin 216-226
-
(1979)
Proc. ISSAC
, pp. 216-226
-
-
Zippel, R.1
-
11
-
-
84976779342
-
Fast probabilistic algorithms for verification of polynomial identities
-
Schwartz J. Fast probabilistic algorithms for verification of polynomial identities. J. ACM 27 (1980) 701-717
-
(1980)
J. ACM
, vol.27
, pp. 701-717
-
-
Schwartz, J.1
-
12
-
-
49049097520
-
Checking polynomial identities over any field: Towards a derandomization?
-
ACM
-
Lewin D., and Vadhan S. Checking polynomial identities over any field: Towards a derandomization?. Proc. 30th STOC (1998), ACM 437-438
-
(1998)
Proc. 30th STOC
, pp. 437-438
-
-
Lewin, D.1
Vadhan, S.2
-
13
-
-
84898974734
-
A deterministic algorithm for sparse multivariate polynomial interpolation
-
ACM
-
Ben-Or M. A deterministic algorithm for sparse multivariate polynomial interpolation. Proc. 29th STOC (1988), ACM 301-309
-
(1988)
Proc. 29th STOC
, pp. 301-309
-
-
Ben-Or, M.1
-
14
-
-
0025694134
-
Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields
-
Grigoriev D.Y., Karpinski M., and Singer M.F. Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields. SIAM J. Comput. 19 6 (1990) 1059-1063
-
(1990)
SIAM J. Comput.
, vol.19
, Issue.6
, pp. 1059-1063
-
-
Grigoriev, D.Y.1
Karpinski, M.2
Singer, M.F.3
-
15
-
-
0026189928
-
On zero-testing and interpolation of k-sparse multivariate polynomials over finite fields
-
Clausen M., Dress A., Grabmeier J., and Karpinski M. On zero-testing and interpolation of k-sparse multivariate polynomials over finite fields. Theoret. Comput. Sci. 84 2 (1991) 151-164
-
(1991)
Theoret. Comput. Sci.
, vol.84
, Issue.2
, pp. 151-164
-
-
Clausen, M.1
Dress, A.2
Grabmeier, J.3
Karpinski, M.4
-
16
-
-
0028379816
-
Computational complexity of sparse rational interpolation
-
Grigoriev D., Karpinski M., and Singer M.F. Computational complexity of sparse rational interpolation. SIAM J. Comput. 23 1 (1994) 1-12
-
(1994)
SIAM J. Comput.
, vol.23
, Issue.1
, pp. 1-12
-
-
Grigoriev, D.1
Karpinski, M.2
Singer, M.F.3
-
18
-
-
0034825851
-
Randomness efficient identity testing of multivariate polynomials
-
ACM
-
Klivans A., and Spielman D.A. Randomness efficient identity testing of multivariate polynomials. Proc. 33th STOC (2001), ACM 216-223
-
(2001)
Proc. 33th STOC
, pp. 216-223
-
-
Klivans, A.1
Spielman, D.A.2
-
19
-
-
0030645679
-
Reducing randomness via irrational numbers
-
ACM
-
Chen Z.-Z., and Kao M.-Y. Reducing randomness via irrational numbers. Proc. 29th STOC (1997), ACM 200-209
-
(1997)
Proc. 29th STOC
, pp. 200-209
-
-
Chen, Z.-Z.1
Kao, M.-Y.2
-
20
-
-
34848892168
-
Pseudorandom generators for low degree polynomials
-
ACM
-
Bogdanov A. Pseudorandom generators for low degree polynomials. Proc. 37th STOC (2005), ACM 21-30
-
(2005)
Proc. 37th STOC
, pp. 21-30
-
-
Bogdanov, A.1
-
21
-
-
49049093835
-
Asymptotically optimal hitting sets against polynomials
-
Springer
-
Bläser M., Hardt M., and Steurer D. Asymptotically optimal hitting sets against polynomials. Proc. 35th ICALP (2008), Springer 345-356
-
(2008)
Proc. 35th ICALP
, pp. 345-356
-
-
Bläser, M.1
Hardt, M.2
Steurer, D.3
-
22
-
-
0030570123
-
On some approximation problems concerning sparse polynomials over finite fields
-
Karpinski M., and Shparlinski I. On some approximation problems concerning sparse polynomials over finite fields. Theor. Comput. Sci. 157 2 (1996) 259-266
-
(1996)
Theor. Comput. Sci.
, vol.157
, Issue.2
, pp. 259-266
-
-
Karpinski, M.1
Shparlinski, I.2
-
23
-
-
34247518765
-
Polynomial identity testing for depth 3 circuits
-
IEEE
-
Kayal N., and Saxena N. Polynomial identity testing for depth 3 circuits. Proc. 21st CCC (2006), IEEE 9-17
-
(2006)
Proc. 21st CCC
, pp. 9-17
-
-
Kayal, N.1
Saxena, N.2
-
24
-
-
35448994446
-
Locally decodable codes with two queries and polynomial identity testing for depth 3 circuits
-
Dvir Z., and Shpilka A. Locally decodable codes with two queries and polynomial identity testing for depth 3 circuits. SIAM J. Comput. 36 5 (2007) 1404-1434
-
(2007)
SIAM J. Comput.
, vol.36
, Issue.5
, pp. 1404-1434
-
-
Dvir, Z.1
Shpilka, A.2
-
25
-
-
35448989350
-
Interpolation of depth-3 arithmetic circuits with two multiplication gates
-
ACM
-
Shpilka A. Interpolation of depth-3 arithmetic circuits with two multiplication gates. Proc. 39th STOC (2007), ACM 284-293
-
(2007)
Proc. 39th STOC
, pp. 284-293
-
-
Shpilka, A.1
-
26
-
-
33744932957
-
Proving lower bounds via pseudo-random generators
-
Springer
-
Agrawal M. Proving lower bounds via pseudo-random generators. Proc. 25th FSTTCS (2005), Springer 92-105
-
(2005)
Proc. 25th FSTTCS
, pp. 92-105
-
-
Agrawal, M.1
-
27
-
-
15244352005
-
Derandomizing polynomial identity tests means proving circuit lower bounds
-
Kabanets V., and Impagliazzo R. Derandomizing polynomial identity tests means proving circuit lower bounds. Comput. Complex. 13 1/2 (2004) 1-46
-
(2004)
Comput. Complex.
, vol.13
, Issue.1-2
, pp. 1-46
-
-
Kabanets, V.1
Impagliazzo, R.2
-
28
-
-
0000985116
-
On the least prime in an arithmetic progression. I. The basic theorem
-
Linnik U.V. On the least prime in an arithmetic progression. I. The basic theorem. Mat. Sb. (N.S.) 15 57 (1944) 139-178
-
(1944)
Mat. Sb. (N.S.)
, vol.15
, Issue.57
, pp. 139-178
-
-
Linnik, U.V.1
-
30
-
-
13544252838
-
The Brun-Titchmarsh theorem on average
-
Analytic Number Theory, vol. 1. Allerton Park, IL, 1995, Birkhäuser Boston, Boston, MA
-
Baker R.C., and Harman G. The Brun-Titchmarsh theorem on average. Analytic Number Theory, vol. 1. Allerton Park, IL, 1995. Progr. Math. vol. 138 (1996), Birkhäuser Boston, Boston, MA 39-103
-
(1996)
Progr. Math.
, vol.138
, pp. 39-103
-
-
Baker, R.C.1
Harman, G.2
-
31
-
-
0004257127
-
-
Cambridge University Press, New York, NY, USA
-
Gathen J.V.Z., and Gerhard J. Modern Computer Algebra (2003), Cambridge University Press, New York, NY, USA
-
(2003)
Modern Computer Algebra
-
-
Gathen, J.V.Z.1
Gerhard, J.2
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