Standard Symbolic Algorithms
-250
Archimedes
1612
de Méziriac
1722
Bach
1764
Bézout
1798
Lagrange
Legendre
1804
Ruffini
1820
Laplace
1826
Abel
1829
Cauchy
1830
Galois
1833
Liouville
Liouville
Liouville
Liouville
1835
Anonymous
Liouville
Sturm
1836
Vincent
1837
Liouville
1839
Liouville
1840
Liouville
1841
Binet
Liouville
1844
Lamé
1845
Kronecker
Ostrogradsky
1850
Puiseux
1853
Cayley
Sylvester
1857
Chebyshev
1860
Boole
Delaunay
1861
Bois
Cayley
1863
Poggendorff
1864
Chebyshev
Chebyshev
1865
Cayley
1872
Hermite
1876
Smith
1878
Darboux
1882
Muir
Todhunter
1888
Halphen
1891
Halphen
1893
Hadamard
1894
Chebyshev
Goursat
1896
Netto
1898
Boulanger
Sintzov
Schlesinger
1900
Van Vleck
1901
Capelli
1905
Landau
1907
Bocher
1908
Cantor
Dixon
Hensel
1910
Cajori
1911
Cajori
1912
Bocher
Hermite
Hurwitz
1913
Mordoukhay
1916
Hardy
Macaulay
1918
Arwin
1920
Muir
1922
Dickson
Mordell
Nordgaard
1924
Weyl
1926
Artin
Hermann
1927
Ramanujan
Whittaker
1928
Weil
1929
Hill
Siegel
1931
Hill
1936
Petr
1937
Bell
1938
Weisner
1939
Brauer
Schwarz
1946
Ostrowski
Ostrowski
1947
Mills
1948
Habicht
Ritt
Shannon
Uspensky
1949
Dirichlet
Erdös
Gröbner
Marden
Motzkin
Shannon
Specht
van der Waerden
1950
Hamming
Ritt
1951
Chevalley
Tarski
1952
Ankeny
Dickson
1953
Chazy
Ince
Kahrimanian
Nolan
1954
Butler
1956
Fröhlich
Schwarz
van der Waerden
1957
Chow
Hasse
Kaplansky
Kolchin
Turnbull
1958
Albert
Davis
Lewin
Manin
Seidenberg
Zariski
1959
Fryer
Garner
Golomb
Hocquenghem
Kamke
Krull
Lang
Lang
Lang
Wilkinson
1960
Bose
Burnside
Lang
Poole
1961
Coxeter
Davis
Lucas
Shimura
Slagle
Takahasi
1962
Schinzel
1963
Birch
Dubreuil
Karatsuba
Manin
Obreschkoff
Olds
Weiss
1964
Herstein
Hironaka
Lang
Mahler
1965
Birkoff
Buchberger
Buchberger
Carlson
Cooley
Engelman
Engleman
Korsvold
Marcus
McCarthy
Mumford
Wasow
Wilkinson
1966
Ahlfors
Bliss
Borevich
Cassels
Collins
Eichler
Fenichel
Floyd
Fichtenholz
Korsvold
Moses
Sammet
Sammet
1967
Berlekamp
Collins
Güting
Kahn
Martin
Moses
Tobey
Tobey
1968
Bareiss
Berlekamp
Bobrow
Engeli
Falkoff
Hearn
Manove
Manove
Richardson
Risch
Rosenlicht
Seidenberg
Serre
Sinkov
Winograd
1969
Brown
Chien
Collins
Collins
Engelman
Fulton
Hearn
Horowitz
Howell
Knuth
Laidacker
Levinson
Lipson
Manin
McEliece
Moses
Risch
Risch
Rosenlicht
Siegel
Strassen
Tobey
Zassenhaus
1970
Baker
Barnett
Berlekamp
Bézier
Birkoff
Birkhoff
Blair
Blair
Bradley
Brent
Buchberger
Caviness
Coates
Collins
Griesmer
Hearn
Householder
Jenkins
Jenks
Knuth
Lang
Levinston
Risch
Simmons
Smith
Stephens
Swinnerton Dyer
van der Sluis
van der Waerden
1971
Abramov
Ax
Berlekamp
Birkhoff
Brown
Brown
Cabay
Collins
Demjanenko
Hall
Heindel
Hearn
Horowitz
Horowitz
Jenks
Johnson
Lang
Lipson
Moses
Moses
Musser
Petrick
Petricle
Pollard
Schonhage
Serre
Zimmer
1972
Bareiss
Barton
Cantor
Fateman
Gaal
Garbow
Lang
Lang
Moses
Peterson
Rosenlicht
Shafarevich
Zimmer
1973
Birkhoff
Collins
Fitch
Feistel
Goldstein
Hearn
Knuth
Kolchin
Madsen
McClellan
Moses
Yun
1974
Aho
Ball
Barnett
Borodin
Brainerd
Brown
Collins
Epstein
Fitch
Fox
Hearn
Johnson
Lehman
Mazur
Mignotte
Miloa
Ng
Risch
Rubald
Seidenberg
Singer
Tate
Wang
Yun
1975
Baker
Bender
Bogen
Borodin
Caviness
Collins
Dieter
Epstein
Griesmer
Kahan
Mack
Morrison
Musser
Norman
Pratt
Risch
Swinnerton Dyer
Verbaeten
Wang
1976
Agou
Agou
Brent
Buchberger
Buchberger
Caviness
Churchhouse
Collins
Collins
Carola
Diffie
Gentelman
Griss
Guy
Hearn
Hearn
Horowitz
Lipson
Mignotte
Mignotte
Moenck
Moses
Moses
Rosenlicht
Rothstein
Rothstein
Singer
Smit
Trager
Trager
Wang
Wang
Watanabe
Wienberger
Yun
Yun
1977
Abdali
Adleman
Agou
Bogen
Cabay
Caviness
Chen
{Diffie
Fitch
Forsythe
Gill
Hansen
Harrington
Knuth
Kovacic
Lauer
LeVeque
MacWilliams
Mazur
Moenck
Norman
Rice
Rothstein
Shtokhamer
Stoutemyer
Yun
Yun
Zippel
1978
Allen
Akritas
Akritas
Akritas
Berlekamp
Brent
Brown
Brown
Dongarra
Griffiths
Herlestam
Horowitz
Lang
Lewis
Marti
Mazur
Merkle
Merkle
Musser
Nijenhuis
Norman
Norman
Pan
Pohlig
Rivest
Solovay
Trager
Traub
Wakerly
Walker
Wang
Williams
Zassenhaus
1979
Antoniou
Babai
Baldassari
Bartz
Blake
Blakley
Buchberger
Buchberger
Childs
Cohen
Collins
Davenport
Davenport
Davenport
Epstein
Griesmer
Harrington
Harrington
Hearn
Hellman
Jenks
Kenku
Lazard
Lempel
Lipton
Lloyd
Mignotte
Norman
Richards
Risch
Rump
Schmidt
Simmons
Smit
Viry
Wang
Wang
Williams
Wunderlicht
Yun
Zippel
Zippel
1980
Agou
Akritas
Akritas
Akritas
Bachmair
Belovari
Brent
Brent
Camion
Calmet
Collins
Davenport
Gregory
Hecke
Krishnamurthy
Niven
Ng
Parlett
Rabin
Ramis
Wang
1981
Akritas
Akritas
Arnon
Ballantyne
Bateman
Ben-Or
Brent
Buchberger
Buchberger
Camion
Cantor
Cuppen
Davenport
Davenport
Della Dora
Dixon
Fitch
Foster
George
Gunji
Jenks
Kaltofen
Knuth
Lazard
Lenstra
Lipson
Mayr
Merkle
Mignotte
Moore
Pavelle
Pearce
Pohst
Pomerance
Ramis
Richards
Saunders
Sasaki
Singer
Singer
Smit
Wang
Watanabe
Winston
Zippel
1982
Akritas
Asmuth
Atkin
Buchberer
Calmet
Calmet
Camion
Chou
Cohen
Collins
Collins
Collins
Coppersmith
Davenport
Davenport
Della Dora
Ecker
Ferguson
Hilali
Kaltofen
Lafon
Lauer
Lazard
Lenstra
Lenstra
Loos
Loos
Mayr
Mignotte
Neubüser
Norman
Norman
Norman
Pearce
Probst
Sasaki
Taub
van Hulzen
Wang
Watkins
Williams
1983
Adleman
Adleman
Apostol
Akritas
Arnon
Baur
Buchberger
Buchberger
Camion
Camion
Cherry
Davenport
Dudley
Lauer
Hilali
Kaltofen
Lazard
Lenstra
Le Chenadec
Loos
Pearce
Schwartz
Schwartz
Wang
1984
Arnon
Arnon
Berlekamp
Brickell
Cherry
Chou
Davenport
Davenport
Della Dora
Delzell
Dicrescenzo
Dixon
Flanders
Gebauer
Giusti
Gondran
Gregory
Jenks
Jenks
Kaltofen
Kandri Rody
Lidl
Macmillian
Möller
Najid Zejli
Pan
Pan
Sims
Smith
Stoutemyer
Trager
Trager
Williams
Wu
1985
Abbott
Afrati
Akritas
Armbruster
Arnon
Bach
Borodin
Brickell
Buchberger
Buchberger
Buchberger
Char
Cherry
Chor
Coppersmith
Davenport
Davenport
Davenport
Davenport
Davenport
Della Dora
Dicrescenzo
Fitch
Gianni
Guiver
Krishnamurthy
Landau
Lazard
Mackiw
Mauny
McCallum
McCallum
Najid Zejli
Ortega
Robbiano
Scott
Singer
Singer
Singer
Winkler
Zippel
1986
Adleman
Akritas
Akritas
Anderson
Bach
Ben-Or
Boge
Bradford
Brieskorn
Brillhart
Cherry
Coppersmith
Davenport
Davenport
Davenport
Davenport
Della Dora
Dodgson
Dube
Gass
Jenks
Kapur
Kovacic
Kutzler
Lidl
Mignotte
Schroeder
Stederberg
Stillman
Watt
Wilf
Wu
1987
Abbott
Akritas
Bronstein
Brownawell
Buchberger
Chen
Comon
Duval
Gardini
Goldman
Hearn
Hilali
Kaltofen
McCormick
McEliece
Pan
Savageau
Savageau
Sutor
Tournier
von zur Gathen
Weispfenning
1988
Abbott
Akritas
Akritas
Arnon
Arnon
Arnon
Arnon
Babai
Bayer
Ben-Or
Bradford
Coste
Czapor
Davenport
Davenport
Dicrescenzo
Freeman
Gebauer
Geddes
Gianni
Gianni
Kaltofen
Kaltofen
Kredel
Lazard
Lazard
McCallum
Richard
Robbiano
Robbiano
Schonhage
Sit
Winkler
1989
Abramov
Abramov
Akritas
Amoroso
Baddoura
Boehm
Borwein
Boyar
Brent
Bronstein
Bronstein
Caniglia
Caniglia
Canny
Cantor
Char
Dewar
Dicrescenzo
Evdokimov
Faugère
Geddes
Gianni
Golub
Kalkbrener
Kalkbrener
Kaltofen
Kobayashi
Mishra
Monagan
Neff
Renegar
Schwarz
Singer
Sit
Stewart
1990
Bach
Bach
Bailey
Berenstein
Borodin
Boxma
Boyle
Bronstein
Bronstein
Bronstein
Bronstein
Buchmann
Canny
Chionh
Coppersmith
Davenport
Davenport
Davenport
Dewar
Fortenbacher
Kaltofen
Kaltofen
Kaltofen
Lakshman
Lazard
Luetzen
Singer
Weileider
Weispfenning
1991
Abramov
Bach
Backelin
Bini
Bronstein
Bronstein
Bronstein
Canny
Cantor
Char
Clinger
Coppersmith
Gilbert
Heath
Huang
Huang
Kaltofen
Landau
MacCallum
Marík
Pan
Piquette
Rioboo
Sendra
Singer
Singer
Sturmfels
Watkins
1992
Adleman
Anderson
Bronstein
Bronstein
Corless
Cox
Geddes
Jenks
Kaltofen
Kaltofen
Kapur
Knowles
Landau
Lazard
Mignotte
Miller
Monagan
Pan
Pan
Pan
Saad
Singer
Singer
Sit
Sturmfels
Ulmer
von zur Gathen
von zur Gathen
1993
Agnew
Atkin
Bach
Becker
Bronstein
Canny
Canny
Cohen
Duval
Evdokimov
Faugere
Flajolet
Fleischmann
Jeffrey
Knowles
Mishra
Pan
Pan
Walsh
Zippel
1994
Adleman
Albanese
Alford
Andrews
Baddoura
Baddoura
Berman
Bini
Bini
Coppersmith
Davis
Dingle
Duval
Duval
Evdokimov
Gao
Gelfand
Gomez Diaz
Jeffrey
Kaltofen
Lakshman
Niederreiter
Pan
Pan
Quinn
Rao
Watt
Watt
1995
Alon
Benecke
Bertrand
Bertrand
Bombieri
Broadbery
Canny
Czichowski
Diaz
Duval
Finch
Giesbrecht
Grigoriev
Kaltofen
Kaltofen
Kapur
Lakshman
Leyland
Pan
Pan
Pan
Pan
Weil
1996
Ajtai
Ajtai
Bach
Bach
Bach
Baker
Beame
Brassard
Corless
Fleischmann
Gianni
Gruntz
Lecerf
Pan
Shoup
von zur Gathen
Winkler
1997
Ajtai
Aubry
Bernstein
Bronstein
Bronstein
Doye
Jeffrey
Jeffrey
Mulders
1998
Bach
Bach
Beame
Bernstein
Bernstein
Bronstein
Bronstein
Dunstan
Jeffrey
1999
Brent
Bronstein
Diaz
Dunstan
Kelsey
von zur Gathen
2000
Faure
1999
Gao
Gao
2000
Kelsey
2001
Adams
Bronstein
2004
Berggren
2005
Fateman
Gottliebsen
2007
Chèze
2008
Fateman
Kauers
2013
Raab
2014
Davenport
2001
von zur Gathen
2014
Kaltofen