SU\G(𝔸)/K·U

Shinji Fukuhara

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All published works
Action Title Year Authors
+ SELF-INTERSECTIONS OF CURVES ON A SURFACE AND BERNOULLI NUMBERS 2018 Shinji Fukuhara
Nariya Kawazumi
Yusuke Kuno
+ PDF Chat Kauffman–Jones polynomial of a curve on a surface 2017 Shinji Fukuhara
Yusuke Kuno
+ Kauffman-Jones polynomial of a curve on a surface 2017 Shinji Fukuhara
Yusuke Kuno
+ Generalized Kronecker formula for Bernoulli numbers and self-intersections of curves on a surface 2015 Shinji Fukuhara
Nariya Kawazumi
Yusuke Kuno
+ Generating functions of even Dedekind symbols with polynomial reciprocity laws 2014 Shinji Fukuhara
+ Special hermitian forms for Seifert surfaces of boundary links and algebraic invariants 2014 Shinji Fukuhara
+ BASES FOR S<sub>k</sub>(Γ<sub>1</sub>(4)) AND FORMULAS FOR EVEN POWERS OF THE JACOBI THETA FUNCTION 2013 Shinji Fukuhara
Yifan Yang
+ A basis for S k (Γ 0(4)) and representations of integers as sums of squares 2012 Shinji Fukuhara
Yifan Yang
+ PDF Chat A basis for the space of modular forms 2011 Shinji Fukuhara
+ A new basis for the space of modular forms 2010 Shinji Fukuhara
+ Twisted Hecke L-values and period polynomials 2009 Shinji Fukuhara
Yifan Yang
+ PDF Chat The elliptic Apostol–Dedekind sums generate odd Dedekind symbols with Laurent polynomial reciprocity laws 2009 Shinji Fukuhara
+ Twisted Hecke L-values and period polynomials 2009 Shinji Fukuhara
Yifan Yang
+ The elliptic Apostol-Dedekind sums generate odd Dedekind symbols with Laurent polynomial reciprocity laws 2009 Shinji Fukuhara
+ PDF Chat Period polynomials and explicit formulas for Hecke operators on Γ<sub>0</sub>(2) 2008 Shinji Fukuhara
Yifan Yang
+ Dedekind symbols with plus reciprocity laws 2007 Shinji Fukuhara
+ PDF Chat Explicit formulas for Hecke operators on cusp forms, Dedekind symbols and period polynomials 2007 Shinji Fukuhara
+ Period polynomials and explicit formulas for Hecke operators on \Gamma_0(2) 2006 Shinji Fukuhara
Yifan Yang
+ PDF Chat Hecke operators on weighted Dedekind symbols 2006 Shinji Fukuhara
+ A generating function of higher-dimensional Apostol–Zagier sums and its reciprocity law 2006 Shinji Fukuhara
Noriko Yui
+ Period polynomials and explicit formulas for Hecke operators on Γ_0(2) 2006 Shinji Fukuhara
Yifan Yang
+ The Dedekind symbol associated with the Eisenstein series of weight two 2005 Shinji Fukuhara
Noriko Yui
+ PDF Chat Explicit formulae for two-bridge knot polynomials 2005 Shinji Fukuhara
+ Explicit formulas for Hecke operators on cusp forms, Dedekind symbols and period polynomials 2005 Shinji Fukuhara
+ Elliptic Apostol sums and their reciprocity laws 2004 Shinji Fukuhara
Noriko Yui
+ Dedekind symbols with polynomial reciprocity laws 2004 Shinji Fukuhara
+ Hecke operators on weighted Dedekind symbols 2004 Shinji Fukuhara
+ New Trigonometric Identities and Generalized Dedekind Sums 2003 Shinji Fukuhara
+ Dedekind symbols associated with J-forms and their reciprocity law 2003 Shinji Fukuhara
+ NON-COMMUTATIVE POLYNOMIAL RECIPROCITY FORMULAE 2001 Shinji Fukuhara
Yukio Matsumoto
Noriko Yui
+ Twisted Generalized Dedekind Symbols 2000 Shinji Fukuhara
+ Generalized Dedekind symbols associated with the Eisenstein series 1999 Shinji Fukuhara
+ Modular forms, generalized Dedekind symbols and period polynomials 1998 Shinji Fukuhara
+ PDF Chat The space of period polynomials 1997 Shinji Fukuhara
+ PDF Chat A note on equivalence classes of plats 1994 Shinji Fukuhara
+ An estimate for the unknotting numbers of torus knots 1991 Shinji Fukuhara
Yukio Matsumoto
Osamu Saeki
+ Casson's invariant of Seifert homology 3-spheres 1990 Shinji Fukuhara
Yukio Matsumoto
Koichi Sakamoto
+ PDF Chat A Sum Formula for Casson's $\lambda$-Invariant 1988 Shinji Fukuhara
Noriko Maruyama
+ Casson's $\lambda$-invariant and its application 1987 Shinji Fukuhara
Noriko Maruyama
+ PDF Chat Extended Alexander Matrices of 3-Manifolds II 1985 Shinji Fukuhara
+ PDF Chat Extended Alexander Matrices of 3-manifolds I 1985 Shinji Fukuhara
Jinko KANNO
+ PDF Chat On an invariant of homology lens spaces 1984 Shinji Fukuhara
+ On an invariant of homology lens spaces 1984 Shinji Fukuhara
+ PDF Chat Classification of $T^2$-bundles over $T^2$ 1983 Shinji Fukuhara
Koichi Sakamoto
+ Classification of T2-bundles over T2 1983 Koichi Sakamoto
Shinji Fukuhara
+ PDF Chat On Framed Link Groups 1981 Shinji Fukuhara
+ PDF Chat On the invariant for a certain type of involutions on homology 3-spheres and its application 1978 Shinji Fukuhara
+ PDF Chat On an exotic $PL$ automorphism of some $4$ -manifold and its application 1972 Shinji Fukuhara
+ On the Hauptvermutung of 5-Dimensional Manifolds and <i>S</i> -COBORDISMS 1972 Shinji Fukuhara
Common Coauthors
Coauthor Papers Together
Yusuke Kuno 4
Yifan Yang 4
Noriko Yui 4
Koichi Sakamoto 3
Yukio Matsumoto 3
Nariya Kawazumi 2
Noriko Maruyama 2
Yifan Yang 2
Yifan Yang 1
Jinko KANNO 1
Osamu Saeki 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Modular forms, generalized Dedekind symbols and period polynomials 1998 Shinji Fukuhara
 20
+ Modular forms with rational periods 1985 Winfried Kohnen
 17
+ Periods of modular forms and Jacobi theta functions 1991 Don Zagier
 14
+ Eine Verallgemeinerung der Abelschen Integrale 1957 Martin Eichler
 11
+ Generalized Dedekind symbols associated with the Eisenstein series 1999 Shinji Fukuhara
 10
+ PDF Chat Sur les int\'egrales attach\'ees aux formes automorphes. 1959 Par Goro SHIMURA
 9
+ Higher dimensional dedekind sums 1973 Don Zagier
 8
+ PDF Chat The space of period polynomials 1997 Shinji Fukuhara
 6
+ Hecke operators and periods of modular forms 1990 Don Zagier
 6
+ Dedekind symbols with polynomial reciprocity laws 2004 Shinji Fukuhara
 6
+ Dedekind Sums 1972 Hans Rademacher
Emil Grosswald
 6
+ Modular Functions and Dirichlet Series in Number Theory 1990 Tom M. Apostol
 6
+ PDF Chat Explicit formulas for Hecke operators on cusp forms, Dedekind symbols and period polynomials 2007 Shinji Fukuhara
 6
+ PDF Chat Explicit formulas for the eigenvalues of Hecke operators 1973 Yu. I. Manin
 6
+ The Atiyah-Singer Theorem and Elementary Number Theory 1974 Friedrich Hirzebruch
Don Zagier
 5
+ PDF Chat Period polynomials and explicit formulas for Hecke operators on Γ<sub>0</sub>(2) 2008 Shinji Fukuhara
Yifan Yang
 5
+ Cotangent sums, a further generalization of Dedekind sums 1984 U. Dieter
 4
+ PDF Chat Theorems on generalized Dedekind sums 1952 Tom M. Apostol
 4
+ Reciprocity theorems for dedekind sums and generalizations 1977 Bruce C. Berndt
 4
+ Modulformen auf Γ0(N) mit rationalen Periodenmit rationalen Perioden 1992 Jannis A. Antoniadis
 4
+ PDF Chat Hecke operators on weighted Dedekind symbols 2006 Shinji Fukuhara
 4
+ PERIODS OF PARABOLIC FORMS AND p-ADIC HECKE SERIES 1996 Ju I Manin
 4
+ Manifolds and Modular Forms 1992 Friedrich Hirzebruch
Thomas Berger
Rainer Jung
 3
+ Dedekind symbols associated with J-forms and their reciprocity law 2003 Shinji Fukuhara
 3
+ PDF Chat Representations of integers as sums of an even number of squares 2005 Ă–zlem ImamoÄźlu
Winfried Kohnen
 3
+ None 2003 Heng Huat Chan
Kok Seng Chua
 3
+ Perioden von Modulformen einer Variabler und Gruppencohomologie, I 1983 Klaus Haberland
 3
+ Modular forms whose fourier coefficients involve zeta-functions of quadratic fields 1977 Don Zagier
 3
+ Representations of Integers as Sums of 32 Squares 2003 Heng Huat Chan
Kok Seng Chua
 3
+ Casson invariant of links of singularities 1990 Walter D. Neumann
Jonathan Wahl
 3
+ Elliptic Functions according to Eisenstein and Kronecker 1976 André Weil
 3
+ PDF Chat An elliptic analogue of generalized Dedekind–Rademacher sums 2007 Tomoya Machide
 3
+ Dedekindsummen mit elliptischen Funktionen 1984 Robert Sczech
 3
+ Elementary proofs of relations between Eisenstein series 1977 R. A. Rankin
 2
+ PDF Chat None 1997 A. Levin
 2
+ Knots, homology spheres, and contractible 4-manifolds 1975 C. McA. Gordon
 2
+ Seifert manifolds, plumbing, µ-invariant and orientation reversing maps 1978 Walter D. Neumann
Frank Raymond
 2
+ An Extension of Casson's Invariant. 1992 Kevin Walker
 2
+ Representations of Integers as Sums of Squares 1985 Emil Grosswald
 2
+ Affine root systems and Dedekind's?-function 1971 I. G. Macdonald
 2
+ A spanning tree expansion of the jones polynomial 1987 Morwen Thistlethwaite
 2
+ PDF Chat On the Value of Dedekind Sums and Eta-Invariants for 3-Dimensional Lens Spaces 1987 Kiyoshi Katase
 2
+ PDF Chat Invariant functions on Lie groups and Hamiltonian flows of surface group representations 1986 William M. Goldman
 2
+ Hecke operators and an identity for the dedekind sums 1980 Marvin I. Knopp
 2
+ PDF Chat Advanced determinant calculus: A complement 2005 C. Krattenthaler
 2
+ The Topological Classification of the Lens Spaces 1960 E. J. Brody
 2
+ A Quick Combinatorial Proof of Eisenstein Series Identities 1993 Nils-Peter Skoruppa
 2
+ A JONES TYPE INVARIANT OF LINKS IN THE PRODUCT SPACE OF A SURFACE AND THE REAL LINE 1994 Kaori Inoue
Takeshi Kaneto
 2
+ Explicit Formulas for Bernoulli Numbers 1972 H. W. Gould
 2
+ Dedekind sums, ?-invariants and the signature cocycle 1994 Robion Kirby
Paul Melvin
 2