Masao Koike

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All published works
Action Title Year Authors
+ Some Results on Modular Forms — Subgroups of the Modular Group Whose Ring of Modular Forms is a Polynomial Ring 2018 Eiichi Bannaĭ
Masao Koike
Akihiro Munemasa
Jiro Sekiguchi
+ $A_{4}$-extensions over Real Quadratic Fields and Hecke Operators 2018 Masao Koike
Yoshio Tanigawa
+ PDF Chat Moonshine for $PSL_{2}(F_{7})$ 2018 Masao Koike
+ PDF Chat ON 2-ADIC MODULAR FORMS 2010 Masao Koike
+ PDF Chat CONGRUENCES BETWEEN EXTREMAL MODULAR FORMS AND THETA SERIES OF SPECIAL TYPES MODULO POWERS OF 2 AND 3 2009 Masao Koike
+ PDF Chat ON EXTREMAL QUASIMODULAR FORMS 2006 Masanobu Kaneko
Masao Koike
+ PDF Chat Quasimodular Solutions of a Differential Equation of Hypergeometric Type 2004 Masanobu Kaneko
Masao Koike
+ Thompson Series and Ramanujan’s Identities 2004 Masao Koike
+ PDF Chat None 2003 Masanobu Kaneko
Masao Koike
+ Quasimodular forms as solutions to a differential equation of hypergeometric type 2003 Masanobu Kaneko
Masao Koike
+ PDF Chat On Modular Forms Arising from a Differential Equation of Hypergeometric Type 2003 Masanobu Kaneko
Masao Koike
+ Quasimodular solutions of a differential equation of hypergeometric type 2002 Masanobu Kaneko
Masao Koike
+ On modular forms arising from a differential equation of hypergeometric type 2002 Masanobu Kaneko
Masao Koike
+ PDF Chat Hypergeometric polynomials over finite fields 1999 Masao Koike
+ Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields 1995 Masao Koike
+ Hypergeometric series over finite fields and Apéry numbers 1992 Masao Koike
+ The Determinants of Matrices Whose Elements Decrease Geometrically in the Diagonal Direction. II 1990 Yoshifumi Kato
Masao Koike
+ PDF Chat Modular forms and the automorphism group of Leech lattice 1988 Masao Koike
+ PDF Chat Moonshines of <i>PSL</i><sub>2</sub>(<i>F<sub>q</sub></i>) and the automorphism group of Leech lattice 1986 Masao Koike
+ PDF Chat Mathieu group <i>M</i><sub>24</sub> and modular forms 1985 Masao Koike
+ PDF Chat Higher reciprocity law, modular forms of weight 1 and elliptic curves 1985 Masao Koike
+ PDF Chat On McKay’s conjecture 1984 Masao Koike
+ PDF Chat A note on modular forms mod <i>p</i> 1983 Masao Koike
+ PDF Chat On Fourier coefficients of Klingen's Eisenstein series of degree three 1981 Masao Koike
+ PDF Chat A note on modular forms $\mathrm{mod} p$ 1979 Masao Koike
+ PDF Chat Congruences between cusp forms and linear representations of the Galois group 1976 Masao Koike
+ PDF Chat On certain abelian varieties obtained from new forms of weight 2 on <i>Γ</i><sub>0</sub>(3<sup>4</sup>) and <i>Γ</i><sub>0</sub>(3<sup>5</sup>) 1976 Masao Koike
+ PDF Chat On some <i>p</i>-adic properties of the eichler-selberg trace formula 1975 Masao Koike
+ Congruences between modular forms and functions and applications to the conjecture of Atkin 1973 Masao Koike
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Monstrous Moonshine 1979 John H. Conway
Simon Norton
5
+ Introduction to the Arithmetic Theory of Automorphic Functions 1972 Marvin Tretkoff
Goro Shimura
4
+ PDF Chat Supersingular 𝑗-invariants, hypergeometric series, and Atkin’s orthogonal polynomials 1997 Masanobu Kaneko
Don Zagier
4
+ PDF Chat Explicit formula of the traces of Hecke operators for Γ0(N) 1974 Hiroaki Hijikata
4
+ PDF Chat The automorphism group of Leech lattice and elliptic modular functions 1985 Takeshi Kondo
3
+ Finite Groups and Modular Functions 1979 J. G. Thompson
3
+ PDF Chat None 2003 Masanobu Kaneko
Masao Koike
3
+ PDF Chat On McKay’s conjecture 1984 Masao Koike
3
+ PDF Chat Zeta-functions of elliptic curves of 2-power conductor 1974 Taira Honda
Isao Miyawaki
3
+ Class Fields Over Real Quadratic Fields and Hecke Operators 1972 Goro Shimura
3
+ Hecke operators on ?0(m) 1970 A. O. L. Atkin
Joseph Lehner
2
+ PDF Chat The theta functions of sublattices of the Leech lattice 1986 Takeshi Kondo
Takashi Tasaka
2
+ PDF Chat On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution 1976 Tetsuya Asai
2
+ PDF Chat Hypergeometric functions over finite fields 1987 John Greene
2
+ PDF Chat On the Hecke operators for Γ0(N) and class fields over quadratic number fields 1973 Koji Doi
M. Yamauchi
2
+ PDF Chat Modular Functions Arising from Some Finite Groups 1981 Larissa Queen
2
+ PDF Chat A Generalized Jacobi Theta Function and Quasimodular Forms 1995 Masanobu Kaneko
Don Zagier
2
+ PDF Chat Congruences between cusp forms and linear representations of the Galois group 1976 Masao Koike
2
+ Flat Structure and the Prepotential for the Elliptic Root System of Type D4(1,1) 1998 Ikuo Satake
2
+ PDF Chat Flat structure for the simple elliptic singularity of type $\tilde E_6$ and Jacobi form 1993 Ikuo Satake
2
+ PDF Chat A representation of the Mathieu groupM 24 as a collineation group 1966 John A. Todd
2
+ PDF Chat Mathieu group <i>M</i><sub>24</sub> and modular forms 1985 Masao Koike
2
+ On Analytic Families of Polarized Abelian Varieties and Automorphic Functions 1963 Goro Shimura
1
+ PDF Chat On certain identities between the traces of Hecke operators 1972 Hiroaki Hijikata
1
+ The<i>q</i>—-series of monstrous moonshine &amp; the decomposition of the head characters 1990 John McKay
Hubertus Strauss
1
+ Propriïżœtïżœs galoisiennes des points d'ordre fini des courbes elliptiques 1971 Jean-Pierre Serre
1
+ A remark on the transformation formula of theta functions associated to positive definite quadratic forms 1980 Yoshiyuki Kitaoka
1
+ Theorie der Eisensteinschen Reihen höherer Stufe und ihre Anwendung auf Funktionentheorie und Arithmetik 1927 E. Hecke
1
+ Subgroups of the Classical Modular Group 1969 M. H. Millington
1
+ PDF Chat On Eisenstein series or Siegel modular groups, II 1981 Nobushige Kurokawa
1
+ Definite quadratische formen der dimension 24 und diskriminante 1 1973 Hans-Volker Niemeier
1
+ PDF Chat Orthogonal polynomials associated with the Rogers-Ramanujan continued fraction 1983 W. A. Al‐Salam
Mourad E. H. Ismail
1
+ On Hecke polynomials 1971 Bernard Dwork
1
+ PDF Chat Computation of invariants in the theory of cyclotomic fields 1966 Kenkichi Iwasawa
Charles C. Sims
1
+ PDF Chat CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT 1958 Jun-ichi Igusa
1
+ PDF Chat On the factors of the jacobian variety of a modular function field 1973 Goro Shimura
1
+ PDF Chat A note on modular forms $\mathrm{mod} p$ 1979 Masao Koike
1
+ On the Picard-Fuchs equation and the formal brauer group of certain ellipticK3-surfaces 1985 Jan Stienstra
Frits Beukers
1
+ PDF Chat Monstrous moonshine and monstrous Lie superalgebras 1992 Richard E. Borcherds
1
+ A character sum evaluation and Gaussian hypergeometric series 1986 Joseph P. Greene
Dennis Stanton
1
+ PDF Chat Hecke polynomials of modular groups and congruence zeta functions of fibre varieties 1969 Yasuo Morita
1
+ The higher reciprocity laws: An example 1980 Carlos Moreno
1
+ Twists of newforms and pseudo-eigenvalues ofW-operators 1978 A. O. L. Atkin
W Li
1
+ On Automorphic Forms on GL 2 and Hecke Operators 1971 Toshitsune Miyake
1
+ PDF Chat Hypergeometric Functions over Finite Fields and Representations of $\bf\SL(2,q)$ 1993 John Greene
1
+ Some congruences for the Apery numbers 1985 Frits Beukers
1
+ <i>Linear Groups with an Exposition of the Galois Field Theory</i> 1959 L. E. Dickson
J. Gillis
1
+ Formes modulaires et fonctions zĂȘta p-adiques 2009 Jean-Pierre Serre
1
+ Mirror Symmetry and Elliptic Curves 1995 Robbert Dijkgraaf
1
+ PDF Chat Moonshines of <i>PSL</i><sub>2</sub>(<i>F<sub>q</sub></i>) and the automorphism group of Leech lattice 1986 Masao Koike
1