-
1
-
-
1642548355
-
On the theorems of Watson and Dragonette for Ramanujan's mock theta functions
-
G. E. Andrews, On the theorems of Watson and Dragonette for Ramanujan's mock theta functions, Amer. J. Math. 88 (1966), 454-490.
-
(1966)
Amer. J. Math.
, vol.88
, pp. 454-490
-
-
Andrews, G.E.1
-
3
-
-
0041031097
-
Mock theta functions
-
eds. L. Ehrenpreis and R. C. Gunning, of Proc. Symp. Pure Math., American Mathematical Society, Providence
-
G. E. Andrews, Mock theta functions, in 'Theta Functions - Bowdoin 1987', eds. L. Ehrenpreis and R. C. Gunning, vol. 49 (part 2) of Proc. Symp. Pure Math., American Mathematical Society, Providence, 1989, 283-298.
-
(1989)
'Theta Functions - Bowdoin 1987'
, vol.49
, Issue.PART 2
, pp. 283-298
-
-
Andrews, G.E.1
-
4
-
-
33745777166
-
-
K. Bringmann and K. Ono, The f(q) mock theta function conjecture and partition ranks, Invent. Math. 165 (2006), 243-266.
-
(2006)
Invent. Math.
, vol.165
, pp. 243-266
-
-
Bringmann, K.1
Ono, K.2
-
7
-
-
7544227842
-
On two geometric theta lifts
-
J. H. Bruinier and J. Funke, On two geometric theta lifts, Duke Math. J. 125 (2004), 45-90.
-
(2004)
Duke Math. J.
, vol.125
, pp. 45-90
-
-
Bruinier, J.H.1
Funke, J.2
-
8
-
-
0002930710
-
Dimensions des espaces de formes modulaires
-
eds. J.-P. Serre andD. Zagier, Lecture Notes in Mathematics 627 Springer Berlin
-
H. Cohen and J. Oesterĺe, Dimensions des espaces de formes modulaires, in 'Modular Functions of One Variable VI', eds. J.-P. Serre andD. Zagier, Lecture Notes in Mathematics, 627, Springer, Berlin, 1977, 69-78.
-
(1977)
'Modular Functions of One Variable VI'
, pp. 69-78
-
-
Cohen, H.1
Oesterĺe, J.2
-
10
-
-
84968484447
-
Some asymptotic formulae for the mock theta series of Ramanujan
-
L. Dragonette, Some asymptotic formulae for the mock theta series of Ramanujan, Trans. Amer. Math. Soc. 72 (1952), 474-500.
-
(1952)
Trans. Amer. Math. Soc.
, vol.72
, pp. 474-500
-
-
Dragonette, L.1
-
11
-
-
0001875065
-
Some guesses in the theory of partitions
-
F. J. Dyson, Some guesses in the theory of partitions, Eureka (Cambridge) 8 (1944), 10-15.
-
(1944)
Eureka (Cambridge)
, vol.8
, pp. 10-15
-
-
Dyson, F.J.1
-
12
-
-
70449659267
-
Superconformal algebras and mock theta functions
-
304010
-
T. Eguchi and K. Hikami, Superconformal algebras and mock theta functions, J. Phys. A: Math. Theor. 42, 304010 (2009), 23 pages.
-
(2009)
J. Phys. A: Math. Theor
, vol.42
, pp. 23
-
-
Eguchi, T.1
Hikami, K.2
-
14
-
-
0001745569
-
Superconformal algebras and string compactification on manifolds with SU(n) holonomy
-
T. Eguchi, H. Ooguri, A. Taormina and S.-K. Yang, Superconformal algebras and string compactification on manifolds with SU(n) holonomy, Nucl. Phys. B 315 (1989), 193-221.
-
(1989)
Nucl. Phys.
, vol.B315
, pp. 193-221
-
-
Eguchi, T.1
Ooguri, H.2
Taormina, A.3
Yang, S.-K.4
-
15
-
-
58149283001
-
Liouville field, modular forms and elliptic genera
-
T. Eguchi, Y. Sugawara and A. Taormina, Liouville field, modular forms and elliptic genera, JHEP 2007, 119 (2007), 21 pages.
-
(2007)
JHEP 2007
, vol.119
, pp. 21
-
-
Eguchi, T.1
Sugawara, Y.2
Taormina, A.3
-
17
-
-
45949115394
-
Unitary representations of the N = 4 superconformal algebra
-
T. Eguchi and A. Taormina, Unitary representations of the N = 4 superconformal algebra, Phys. Lett. B 196 (1986), 75-81.
-
(1986)
Phys. Lett.
, vol.B196
, pp. 75-81
-
-
Eguchi, T.1
Taormina, A.2
-
18
-
-
0000057381
-
Character formulas for the N = 4 superconformal algebra
-
T. Eguchi and A. Taormina, Character formulas for the N = 4 superconformal algebra, Phys. Lett. B 200 (1988), 315-322.
-
(1988)
Phys. Lett
, vol.B200
, pp. 315-322
-
-
Eguchi, T.1
Taormina, A.2
-
19
-
-
0043006565
-
On the unitary representations of N = 2 and N = 4 superconformal algebras
-
T. Eguchi and A. Taormina, On the unitary representations of N = 2 and N = 4 superconformal algebras, Phys. Lett. B 210 (1988), 125-132.
-
(1988)
Phys. Lett.
, vol.B210
, pp. 125-132
-
-
Eguchi, T.1
Taormina, A.2
-
22
-
-
84960612244
-
Asymptotic formulæ in combinatory analysis
-
G. H. Hardy and S. Ramanujan, Asymptotic formulæ in combinatory analysis, Proc. London Math. Soc. 2 (1918), 75-115.
-
(1918)
Proc. London Math. Soc.
, vol.2
, pp. 75-115
-
-
Hardy, G.H.1
Ramanujan, S.2
-
23
-
-
0003586158
-
-
Lecture Notes in Mathematics, 1001 Springer, Berlin
-
D. A. Hejhal, The Selberg trace formula for PSL(2,R) Vol. 2, Lecture Notes in Mathematics, 1001, Springer, Berlin, 1983.
-
(1983)
The Selberg trace formula for PSL(2,R)
, vol.2
-
-
Hejhal, D.A.1
-
24
-
-
2142806648
-
Quantum invariant for torus link and modular forms
-
K. Hikami, Quantum invariant for torus link and modular forms, Commun. Math. Phys. 246 (2004), 403-426.
-
(2004)
Commun. Math. Phys.
, vol.246
, pp. 403-426
-
-
Hikami, K.1
-
25
-
-
32344431928
-
Mock. (false) theta functions as quantum invariants
-
K. Hikami, Mock (false) theta functions as quantum invariants, Regular Chaotic Dyn. 10 (2005), 509-530.
-
(2005)
Regular Chaotic Dyn
, vol.10
, pp. 509-530
-
-
Hikami, K.1
-
26
-
-
21644469654
-
On the quantum invariant for the Brieskorn homology spheres
-
K. Hikami, On the quantum invariant for the Brieskorn homology spheres, Int. J. Math. 16 (2005), 661-685.
-
(2005)
Int. J. Math.
, vol.16
, pp. 661-685
-
-
Hikami, K.1
-
27
-
-
33750009886
-
On the quantum invariant for the spherical Seifert manifold
-
K. Hikami, On the quantum invariant for the spherical Seifert manifold, Commun. Math. Phys. 268 (2006), 285-319.
-
(2006)
Commun. Math. Phys.
, vol.268
, pp. 285-319
-
-
Hikami, K.1
-
28
-
-
32344448643
-
Transformation formula of the " 2nd" order mock theta function
-
K. Hikami, Transformation formula of the " 2nd" order mock theta function, Lett. Math. Phys. 75 (2006), 93-98.
-
(2006)
Lett. Math. Phys.
, vol.75
, pp. 93-98
-
-
Hikami, K.1
-
29
-
-
0000356516
-
The hyperbolic volume of knots from quantum dilogarithm
-
R. M. Kashaev, The hyperbolic volume of knots from quantum dilogarithm, Lett. Math. Phys. 39 (1997), 269-275.
-
(1997)
Lett. Math. Phys.
, vol.39
, pp. 269-275
-
-
Kashaev, R.M.1
-
30
-
-
0001296286
-
Elliptic genera and N = 2 superconformal field theory
-
T. Kawai, Y. Yamada and S.-K. Yang, Elliptic genera and N = 2 superconformal field theory, Nucl. Phys. B 414 (1994), 191-212.
-
(1994)
Nucl. Phys. B
, vol.414
, pp. 191-212
-
-
Kawai, T.1
Yamada, Y.2
Yang, S.-K.3
-
31
-
-
0012848870
-
Modular forms and quantum invariants of 3-manifolds
-
R. Lawrence and D. Zagier, Modular forms and quantum invariants of 3-manifolds, Asian J. Math. 3 (1999), 93-107.
-
(1999)
Asian J. Math.
, vol.3
, pp. 93-107
-
-
Lawrence, R.1
Zagier, D.2
-
35
-
-
0000269757
-
On the 3-dimensional Brieskorn manifolds M(p, q, r)
-
ed. L. P. Neuwirth, Princeton University Press, Princetonpapers Dedicated to the Memory of R. H. Fox
-
J. Milnor, On the 3-dimensional Brieskorn manifolds M(p, q, r), in 'Knots, Groups, and 3-Manifolds', ed. L. P. Neuwirth, Princeton University Press, Princeton, 1975, 175-225, papers Dedicated to the Memory of R. H. Fox.
-
(1975)
'Knots, Groups, and 3-Manifolds'
-
-
Milnor, J.1
-
36
-
-
77954893671
-
Strings and arithmetic
-
eds. P. Cartier, B. Julia and P. Moussa, Springer, Berlin
-
G. Moore, Strings and arithmetic, in 'Frontiers in Number Theory, Physics and Geometry II', eds. P. Cartier, B. Julia and P. Moussa, Springer, Berlin, 2006, 303-359.
-
(2006)
'Frontiers in Number Theory, Physics and Geometry II'
, pp. 303-359
-
-
Moore, G.1
-
37
-
-
0002742222
-
The colored Jones polynomials and the simplicial volume of a knot
-
H. Murakami and J. Murakami, The colored Jones polynomials and the simplicial volume of a knot, Acta. Math. 186 (2001), 85-104.
-
(2001)
Acta. Math.
, vol.186
, pp. 85-104
-
-
Murakami, H.1
Murakami, J.2
-
40
-
-
0002956338
-
A physical picture of the K3 gravitational instanton
-
D. N. Page, A physical picture of the K3 gravitational instanton, Phys. Lett. B 80 (1978), 55-57.
-
(1978)
Phys. Lett. B
, vol.80
, pp. 55-57
-
-
Page, D.N.1
-
41
-
-
0003805246
-
-
Die Grundlehren der mathematischen Wissenschaften 169 Springer New York
-
H. Rademacher, Topics in analytic number theory, Die Grundlehren der mathematischen Wissenschaften, 169, Springer, New York, 1973.
-
(1973)
Topics in analytic number theory
-
-
Rademacher, H.1
-
42
-
-
0542373499
-
Invariants of 3-manifolds via link polynomials and quantum groups
-
N. Yu. Reshetikhin and V. G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547-597.
-
(1991)
Invent. Math.
, vol.103
, pp. 547-597
-
-
Reshetikhin, N.Y.1
Turaev, V.G.2
-
44
-
-
33646020809
-
Elliptic genera and quantum field theory
-
E. Witten, Elliptic genera and quantum field theory, Commun. Math. Phys. 109 (1987), 525-536.
-
(1987)
Commun. Math. Phys.
, vol.109
, pp. 525-536
-
-
Witten, E.1
-
45
-
-
14644388676
-
Quantum field theory and the Jones polynomial
-
E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989), 351-399.
-
(1989)
Commun. Math. Phys.
, vol.121
, pp. 351-399
-
-
Witten, E.1
-
46
-
-
77950901169
-
Ramanujan's mock theta functions and their applications [d'apr'es Zwegers and Bringmann-Ono]
-
2006-2007
-
D. Zagier, Ramanujan's mock theta functions and their applications [d'apr'es Zwegers and Bringmann-Ono], Śeminaire Bourbaki 986 (2006-2007).
-
Śeminaire Bourbaki
, pp. 986
-
-
Zagier, D.1
|