Recent Issues
Volume 24, 2 issues
Volume 24
Issue 2, 595–1223
Issue 1, 1–594
Volume 23, 9 issues
Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508
Volume 22, 8 issues
Volume 22
Issue 8, 3533–4008
Issue 7, 3059–3532
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472
Volume 21, 7 issues
Volume 21
Issue 7, 3221–3734
Issue 6, 2677–3220
Issue 5, 2141–2676
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541
Volume 20, 7 issues
Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529
Volume 19, 7 issues
Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532
Volume 18, 7 issues
Volume 18
Issue 7, 3749–4373
Issue 6, 3133–3747
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633
Volume 17, 6 issues
Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643
Volume 16, 6 issues
Volume 16
Issue 6, 3073–3719
Issue 5, 2459–3071
Issue 4, 1827–2458
Issue 3, 1253–1825
Issue 2, 621–1251
Issue 1, 1–620
Volume 15, 6 issues
Volume 15
Issue 6, 3107–3729
Issue 5, 2479–3106
Issue 4, 1863–2477
Issue 3, 1239–1862
Issue 2, 623–1238
Issue 1, 1–622
Volume 14, 6 issues
Volume 14
Issue 6, 3141–3763
Issue 5, 2511–3139
Issue 4, 1881–2509
Issue 3, 1249–1879
Issue 2, 627–1247
Issue 1, 1–625
Volume 13, 6 issues
Volume 13
Issue 6, 3099–3731
Issue 5, 2471–3097
Issue 4, 1857–2469
Issue 3, 1243–1856
Issue 2, 625–1241
Issue 1, 1–624
Volume 12, 4 issues
Volume 12
Issue 4, 1901–2517
Issue 3, 1265–1899
Issue 2, 643–1263
Issue 1, 1–641
Volume 11, 5 issues
Volume 11
Issue 5, 2477–3084
Issue 4, 1861–2475
Issue 3, 1243–1860
Issue 2, 625–1242
Issue 1, 1–624
Volume 10, 4 issues
Volume 10
Issue 4, 1865–2468
Issue 3, 1245–1863
Issue 2, 627–1244
Issue 1, 1–625
Volume 9, 4 issues
Volume 9
Issue 4, 1885–2502
Issue 3, 1255–1883
Issue 2, 625–1254
Issue 1, 1–624
Volume 8, 4 issues
Volume 8
Issue 4, 1855–2414
Issue 3, 1223–1853
Issue 2, 615–1222
Issue 1, 1–613
Volume 7, 4 issues
Volume 7
Issue 4, 1633–2270
Issue 3, 1135–1632
Issue 2, 529–1134
Issue 1, 1–528
Volume 6, 5 issues
Volume 6
Issue 5, 2031–2518
Issue 4, 1519–2029
Issue 3, 1025–1517
Issue 2, 513–1024
Issue 1, 1–512
Volume 5, 4 issues
Volume 5
Issue 4, 1291–1732
Issue 3, 865–1290
Issue 2, 443–864
Issue 1, 1–442
Volume 4, 2 issues
Volume 4
Issue 2, 647–1272
Issue 1, 1–645
Volume 3, 2 issues
Volume 3
Issue 2, 623–1292
Issue 1, 1–622
Volume 2, 2 issues
Volume 2
Issue 2, 591–1204
Issue 1, 1–590
Volume 1, 2 issues
Volume 1
Issue 2, 627–790
Issue 1, 1–625
1
S A Abramov , P
Paule , M Petkovšek , $q$–hypergeometric
solutions of $q$–difference equations , from:
"Proceedings of the 7th Conference on Formal Power Series and
Algebraic Combinatorics", Discrete Math. 180 (1998) 3 MR1603685
2
D Bar-Natan ,
The Knot Atlas
3
M Bronstein ,
On
the factorisation of linear ordinary differential
operators , from: "Symbolic computation, new trends and
developments", Math. Comput. Simulation 42 (1996) 387 MR1430826
4
M Bronstein , M
Petkovšek , An
introduction to pseudo-linear algebra , from:
"Algorithmic complexity of algebraic and geometric models",
Theoret. Comput. Sci. 157 (1996) 3 MR1383396
5
F Chyzak , An extension
of Zeilberger's fast algorithm to general holonomic
functions , from: "Formal power series and algebraic
combinatorics", Discrete Math. 217 (2000) 115 MR1766263
6
T Cluzeau , M van
Hoeij , Computing
hypergeometric solutions of linear recurrence
equations , Appl. Algebra Engrg. Comm. Comput. 17 (2006)
83 MR2233774
7
D Cooper , M
Culler , H Gillet , D D Long , P B
Shalen , Plane curves associated
to character varieties of $3$–manifolds , Invent. Math.
118 (1994) 47 MR1288467
8
J A De Loera ,
J Rambau , F Santos , Triangulations ,
Algorithms and Computation in Mathematics 25, Springer (2010)
MR2743368
9
S Garoufalidis ,
The classical and quantum $A$–polynomial of double twist
knots
10
S Garoufalidis , The
Newton polygon of a recurrence sequence of polynomials and its
role in TQFT arXiv:1102.1346
11
S Garoufalidis ,
Quantum knot invariants arXiv:1201.3314
12
S Garoufalidis ,
On the
characteristic and deformation varieties of a knot ,
from: "Proceedings of the Casson Fest", Geom. Topol. Monogr. 7
(2004) 291 MR2172488
13
S Garoufalidis , The
degree of a $q$–holonomic sequence is a quadratic
quasi-polynomial , Electron. J. Combin. 18 (2011) 23
MR2795781
14
S Garoufalidis ,
The Jones slopes
of a knot , Quantum Topol. 2 (2011) 43 MR2763086
15
S Garoufalidis ,
T T Q Lê , The colored Jones
function is $q$–holonomic , Geom. Topol. 9 (2005) 1253
MR2174266
16
S Garoufalidis , X
Sun , The $C$–polynomial
of a knot , Algebr. Geom. Topol. 6 (2006) 1623 MR2253459
17
S Garoufalidis , X
Sun , The
non-commutative $A$–polynomial of twist knots , J. Knot
Theory Ramifications 19 (2010) 1571 MR2755491
18
R Gelca , On the
relation between the $A$–polynomial and the Jones
polynomial , Proc. Amer. Math. Soc. 130 (2002) 1235
MR1873802
19
K Habiro , A unified
Witten–Reshetikhin–Turaev invariant for integral homology
spheres , Invent. Math. 171 (2008) 1 MR2358055
20
M van Hoeij ,
Factorization of
differential operators with rational functions
coefficients , J. Symbolic Comput. 24 (1997) 537
MR1484068
21
P Horn ,
Faktorisierung in Schief-Polynomringen , PhD thesis,
Universität Kassel (2008)
22
J C Jantzen ,
Lectures on quantum groups , Graduate Studies in
Mathematics 6, Amer. Math. Soc. (1996) MR1359532
23
C Koutschan ,
Advanced applications of the holonomic systems approach ,
PhD thesis, Johannes Kepler University (2009)
24
C Koutschan ,
A fast
approach to creative telescoping , Math. Comput. Sci. 4
(2010) 259 MR2775992
25
C Koutschan ,
HolonomicFunctions (user's guide) , (2010)
26
M Lauridsen ,
Aspects of quantum mathematics, Hitchin connections and AJ
conjectures , PhD thesis, Aarhus University (2010)
27
T T Q Lê ,
The
colored Jones polynomial and the $A$–polynomial of
knots , Adv. Math. 207 (2006) 782 MR2271986
28
T T Q Lê ,
A T Tran , On the AJ conjecture for knots
arXiv:1111.5258
29
I G Macdonald ,
Symmetric functions and Hall polynomials , Oxford
University Press (1995) MR1354144
30
G Masbaum , Skein-theoretical
derivation of some formulas of Habiro , Algebr. Geom.
Topol. 3 (2003) 537 MR1997328
31
O Ore , Theory of non-commutative
polynomials , Ann. of Math. 34 (1933) 480 MR1503119
32
P Paule , A
Riese , A Mathematica $q$–analogue of Zeilberger's
algorithm based on an algebraically motivated approach to
$q$–hypergeometric telescoping , from: "Special functions,
$q$–series and related topics" (editors M E H Ismail,
D R Masson, M Rahman), Fields Inst. Commun. 14, Amer.
Math. Soc. (1997) 179 MR1448687
33
K L Petersen ,
$A$–polynomials
of a family of $2$–bridge knots , preprint (2011)
34
M Petkovšek ,
Hypergeometric
solutions of linear recurrences with polynomial
coefficients , J. Symbolic Comput. 14 (1992) 243
MR1187234
35
M Petkovšek ,
H S Wilf , D Zeilberger , $A=B$ , A K
Peters Ltd (1996) MR1379802
36
M van der Put ,
M F Singer , Galois theory of linear differential
equations , Grundl. Math. Wissen. 328, Springer (2003)
MR1960772
37
D Rolfsen , Knots
and links , Mathematics Lecture Series 7, Publish or Perish
Inc (1990) MR1277811
38
F Schwarz , A
factorization algorithm for linear ordinary differential
equations , from: "ISSAC 1989—Proceedings of the 1989
International Symposium on Symbolic and Algebraic Computation"
(editor Y N Lakshman), ACM Press (1989) 17
39
J R Stembridge ,
The SF
package (2005)
40
S P Tsarev , An
algorithm for complete enumeration of all factorizations of a
linear ordinary differential operator , from: "ISSAC
1996—Proceedings of the 1996 International Symposium on
Symbolic and Algebraic Computation" (editor Y N Lakshman),
ACM Press (1996) 226
41
V G Turaev ,
The
Yang–Baxter equation and invariants of links , Invent.
Math. 92 (1988) 527 MR939474
42
V G Turaev ,
Quantum invariants of knots and $3$–manifolds , de
Gruyter Studies in Mathematics 18, Walter de Gruyter & Co.
(1994) MR1292673
43
H S Wilf , D
Zeilberger , An algorithmic proof
theory for hypergeometric (ordinary and “$q$”)
multisum/integral identities , Invent. Math. 108 (1992)
575 MR1163239
44
D Zeilberger ,
A
fast algorithm for proving terminating hypergeometric
identities , Discrete Math. 80 (1990) 207 MR1048463
45
D Zeilberger ,
A
holonomic systems approach to special functions
identities , J. Comput. Appl. Math. 32 (1990) 321
MR1090884
46
D Zeilberger ,
The method of
creative telescoping , J. Symbolic Comput. 11 (1991) 195
MR1103727
47
G M Ziegler ,
Lectures on
polytopes , Graduate Texts in Mathematics 152, Springer
(1995) MR1311028