Mong Lung Lang

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All published works

Action	Title	Year	Authors
+ PDF Chat	Dilogarithm identities after Bridgeman	2022	Pradthana Jaipong Mong Lung Lang Ser Peow Tan Ming Hong Tee
+	Optimal independent generating system for the congruence subgroups $Γ_0(p)$ and $Γ_0(p^2)$	2022	Nhat Minh Doan Sang-Hyun Kim Mong Lung Lang Ser Peow Tan
+	Fibonacci identities and Fibonacci pairs	2021	Cheng Lien Lang Mong Lung Lang
+	Dilogarithm identities after Bridgeman	2020	Pradthana Jaipong Mong Lung Lang Ser Peow Tan Ming Hong Tee
+	Dilogarithm identities after Bridgeman	2020	Pradthana Jaipong Mong Lung Lang Ser Peow Tan Ming Hong Tee
+	Arithmetic and geometry of the Hecke groups	2016	Cheng Lien Lang Mong Lung Lang
+	Arithmetic and geometry of the Hecke groups	2015	Cheng Lien Lang Mong Lung Lang
+	Identifying normal and congruence subgroups	2015	Cheng Lien Lang Mong Lung Lang
+	Arithmetic and geometry of the Hecke groups	2015	Cheng Lien Lang Mong Lung Lang
+ PDF Chat	The commutator subgroup and the index formula of the Hecke group <i>H</i> <sub>5</sub>	2014	Cheng Lien Lang Mong Lung Lang
+	Wohlfahrt's Theorem for the Hecke group<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:math>	2014	Cheng Lien Lang Mong Lung Lang
+	Wohlfahrt's Theorem and index formula for elementary matrix groups and $SL(2, \mathcal O)$	2014	Cheng Lien Lang Mong Lung Lang
+	Commutator subgroup of the Hecke group $G_5$ is not congruence	2014	Cheng Lien Lang Mong Lung Lang
+	Wohlfahrt's Theorem for the Hecke group G_5	2014	Cheng Lien Lang Mong Lung Lang
+	The arithmetic and geometry of the Hecke group G_5	2014	Cheng Lien Lang Mong Lung Lang
+	The index formula for the Hecke group H_5	2014	Cheng Lien Lang Mong Lung Lang
+	Wohlfahrt's Theorem for the Hecke group G_5	2014	Cheng Lien Lang Mong Lung Lang
+	Wohlfahrt's Theorem and index formula for elementary matrix groups and $SL(2, \mathcal O)$	2014	Cheng Lien Lang Mong Lung Lang
+	Commutator subgroup of the Hecke group $G_5$ is not congruence	2014	Cheng Lien Lang Mong Lung Lang
+ PDF Chat	Fibonacci Numbers and Identities	2013	Cheng Lien Lang Mong Lung Lang
+	Three term recurrence and residue completeness	2013	Cheng Lien Lang Mong Lung Lang
+	Generalised Binomial coefficients and Jarden's Theorem	2013	Cheng Lien Lang Mong Lung Lang
+	Recurrence of Products of Linear Recursive Functions	2013	Cheng Lien Lang Mong Lung Lang
+	Fibonacci system and residue completeness	2013	Cheng Lien Lang Mong Lung Lang
+	Galois Identities of the three term recurrence	2013	Cheng Lien Lang Mong Lung Lang
+	Recurrence for powers of recursive sequence II	2013	Cheng Lien Lang Mong Lung Lang
+	Fibonacci Numbers and Identities II	2013	Cheng Lien Lang Mong Lung Lang
+	Fibonacci numbers and Trivalent graphs	2013	Cheng Lien Lang Mong Lung Lang
+	Recurrence of Products of Linear Recursive Functions	2013	Cheng Lien Lang Mong Lung Lang
+	Fibonacci system and residue completeness	2013	Cheng Lien Lang Mong Lung Lang
+	Generalised Binomial coefficients and Jarden's Theorem	2013	Cheng Lien Lang Mong Lung Lang
+	Three term recurrence and residue completeness	2013	Cheng Lien Lang Mong Lung Lang
+	Fibonacci Numbers and Identities	2013	Cheng Lien Lang Mong Lung Lang
+	Ranks of the Sylow 2-subgroups of the classical groups	2008	Mong Lung Lang
+	Ranks of the Sylow 2-subgroups of the classical Simple groups	2008	Mong Lung Lang
+ PDF Chat	A simple proof of the Markoff conjecture for prime powers	2007	Mong Lung Lang Ser Peow Tan
+ PDF Chat	The structure of the normalisers of the congruence subgroups of the Hecke group<i>G</i><sub>5</sub>	2006	Mong Lung Lang
+	The structure of the normalisers of the congruence subgroups of the Hecke group $G_5$	2006	Mong Lung Lang
+ PDF Chat	Extending π-systems to bases of root systems	2005	Helmer Aslaksen Mong Lung Lang
+	Indecomposable Sylow 2-Subgroups of Simple Groups	2005	Koichiro Harada Mong Lung Lang
+	On Thompson's finiteness theorem	2004	Mong Lung Lang
+	Extending $\pi$-systems to bases of root systems	2004	Helmer Aslaksen Mong Lung Lang
+	On Rademacher's conjecture: congruence subgroups of genus zero of the modular group	2004	Kok Seng Chua Mong Lung Lang Yifan Yang
+ PDF Chat	Congruence Subgroups Associated to the Monster	2004	Kok Seng Chua Mong Lung Lang
+	Extending $π$-systems to bases of root systems	2004	Helmer Aslaksen Mong Lung Lang
+	Groups commensurable with the modular group	2003	Mong Lung Lang
+	Sylow 2-Subgroups of Finite Simple Groups	2003	Koichiro Harada Mong Lung Lang
+	Normalisers of Subgroups of the Modular Group	2002	Mong Lung Lang
+ PDF Chat	Sylow 2-subgroups of simple groups	2001	Koichiro Harada Mong Lung Lang
+ PDF Chat	Modular forms associated with the Monster module	1998	Koichiro Harada Mong Lung Lang
+	Ramanujan’s modular equations and Atkin-Lehner involutions	1998	Heng Huat Chan Mong Lung Lang
+ PDF Chat	The McKay-Thompson series associated with the irreducible characters of the Monster	1996	Koichiro Harada Mong Lung Lang
+	MODULAR FORMS ASSOCIATED WITH THE MONSTER MODULE(Moonshine and Verdex Operator Algebra)	1995	Koichiro Harada Mong Lung Lang
+	Finite quotients of the automorphism group of a free group	1995	Mong Lung Lang Ka Hin Leung Yan Loi Wong
+	Modular forms associated with the Monster module	1994	Koichiro Harada Mong Lung Lang
+	Sequential Construction of Niemeier Lattices and Their Uniqueness	1994	K. Harada Mong Lung Lang Masahiko Miyamoto
+	Modular forms associated with the Monster module	1994	Koichiro Harada Mong Lung Lang
+	The McKay-Thompson series associated with the irreducible characters of the Monster	1994	Koichiro Harada Mong Lung Lang
+ PDF Chat	On some sublattices of the Leech lattice	1990	Koichiro Harada Mong Lung Lang
+	Some elliptic curves arising from the Leech lattice	1989	Koichiro Harada Mong Lung Lang

Common Coauthors

Coauthor	Papers Together
Cheng Lien Lang	29
Koichiro Harada	11
Ser Peow Tan	5
Ming Hong Tee	3
Pradthana Jaipong	3
Helmer Aslaksen	3
Kok Seng Chua	2
Heng Huat Chan	1
Yifan Yang	1
Yan Loi Wong	1
Ka Hin Leung	1
Masahiko Miyamoto	1
Nhat Minh Doan	1
Sang-Hyun Kim	1
K. Harada	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Independent generators for congruence subgroups of Hecke groups	1995	Mong-Lung Lang Chong-Hai Lim Ser Peow Tan	9
+	An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group	1991	Ravi S. Kulkarni	8
+	Monstrous Moonshine	1979	John H. Conway Simon Norton	5
+	An Algorithm for Determining if a Subgroup of the Modular Group is Congruence	1995	Mong-Lung Lang Chong-Hai Lim Ser Peow Tan	5
+	Understanding groups like Γ0(N)	1996	John H. Conway	5
+	Fibonacci Numbers and Identities II	2013	Cheng Lien Lang Mong Lung Lang	4
+	A class of continued fractions associated with certain properly discontinuous groups	1954	David W. Rosen	4
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	4
+	Subgroups of the hecke groups with small index	1993	Mong-Lung Lang Chong-Hai Lim Ser Peow Tan	4
+	Hecke operators on ?0(m)	1970	A. O. L. Atkin Joseph Lehner	4
+ PDF Chat	An extension of F. Klein's level concept	1964	Klaus Wohlfahrt	4
+	A spectral proof of Rademacher's conjecture for congruence subgroups of the modular group.	1991	Peter Zograf	3
+	The sylow 2-subgroups of the finite classical groups	1964	Roger Carter Paul Fong	3
+ PDF Chat	Identifying congruence subgroups of the modular group	1996	Tim Hsu	3
+	Algebraic theory of the Bianchi groups	1989	Benjamin Fine	3
+ PDF Chat	The normalizer of Γ<sub>0</sub>(<i>N</i>) in PSL(2, ℝ)	1990	Mehmet Akbaş David Singerman	3
+	Twisted wreath products and sylow 2-subgroups of classical simple groups	1967	W. J. Wong	3
+	Principal Congruence Subgroups of the Hecke Groups	2000	Mong-Lung Lang Chong-Hai Lim Ser Peow Tan	3
+	Normalisers of Subgroups of the Modular Group	2002	Mong Lung Lang	3
+	Bestimmung der Kommensurabilit�tsklasse der Hilbertschen Modulgruppe	1966	H. Helling	3
+	Torsion-free genus zero congruence subgroups of PSL2(ℝ)	2001	Abdellah Sebbar	2
+	A finiteness theorem for subgroups of 𝑃𝑆𝐿(2,𝐑) which are commensurable with 𝐏𝐒𝐋(2,𝐙)	1981	J. G. Thompson	2
+ PDF Chat	Orthospectra of geodesic laminations and dilogarithm identities on moduli space	2011	Martin Bridgeman	2
+	Commensurability classes and volumes of hyperbolic 3-manifolds	1981	A. Borel	2
+ PDF Chat	A dilogarithm identity on moduli spaces of curves	2014	Feng Luo Ser Peow Tan	2
+	The Signature of Γ+0(n)	2001	Mong-Lung Lang	2
+	Wohlfahrt's Theorem for the Hecke group G_5	2014	Cheng Lien Lang Mong Lung Lang	2
+	Level and index in the modular group	1984	W Stothers	2
+	Hyperbolic Volume of Manifolds with Geodesic Boundary and Orthospectra	2010	Martin Bridgeman Jeremy Kahn	2
+ PDF Chat	Congruence Subgroups of Groups Commensurable with PSL (2, Z) of Genus 0 and 1	2004	Chris Cummins	2
+	�ber die Heckeschen GruppenG(?)II	1974	Armin Leutbecher	2
+ PDF Chat	Some formulas related to dilogarithms, the zeta function and the Andrews-Gordon identities	1981	Bruce M. Richmond G Szekeres	2
+	Les sous-groupes fermés de rang maximum des groupes de Lie clos	1949	Armand Borel Jean Siebenthal	2
+ PDF Chat	The cusp amplitudes of the congruence subgroups of the classical modular group	1982	H. Larcher	2
+	The theta functions of sublattices of the Leech lattice II	1987	Takeshi Kondo Takashi Tasaka	2
+ PDF Chat	The automorphism group of Leech lattice and elliptic modular functions	1985	Takeshi Kondo	2
+ PDF Chat	The theta functions of sublattices of the Leech lattice	1986	Takeshi Kondo Takashi Tasaka	2
+	Normalizers of the Congruence Subgroups of the Hecke Groups G4 and G6	2001	Mong-Lung Lang	2
+	Subgroups of the Classical Modular Group	1969	M. H. Millington	2
+ PDF Chat	Moments of the boundary hitting function for the geodesic flow on a hyperbolic manifold	2014	Martin Bridgeman Ser Peow Tan	2
+	A New Proof and an Extension of a Theorem of Millington on the Modular Group	1985	Ravi S. Kulkarni	2
+ PDF Chat	Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations	1997	Bruce C. Berndt Heng Huat Chan Liang-Cheng Zhang	1
+	Normalizers of the congruence subgroups of the Hecke group II	2000	Mong-Lung Lang Ser Peow Tan	1
+	A remarkable identity for lengths of curves	1991	Greg McShane	1
+	The groups of order at most 2000	2001	Hans Ulrich Besche Bettina Eick E. A. O’Brien	1
+	Structural Properties of Polylogarithms	1991	L. Lewin	1
+	The Sensual (Quadratic) Form	2009	John H. Conway Francis Y. C. Fung	1
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki	1
+ PDF Chat	The invariants of the congruence subgroups $G_{0}(\mathcal{B})$ of the Hecke group $G_{5}$	1994	Shih-Ping Chan Mong-Lung Lang Chong-Hai Lim Ser Peow Tan	1
+ PDF Chat	On the Unicity Conjecture for Markoff Numbers	1996	Arthur Baragar	1