Takashi Fukuda

Generating author description...

All published works

Action	Title	Year	Authors
+	Measuring Virus Concentration and Infection Risk for Non-infected Individuals in a Fever Clinic Outside a Hospital	2025	Takashi Fukuda Masato Yasuura
+	Constructing ray class fields of a real quadratic field using elliptic curves	2019	Takashi Fukuda Keiichi Komatsu Kenji Hashimoto
+	OF SIEGEL MODULAR FUNCTIONS	2016	Takashi Fukuda K. Komatsu
+ PDF Chat	On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of $\mathbb{Q}(\sqrt{p})$ II	2014	Takashi Fukuda Keiichi Komatsu Manabu Ozaki Takae Tsuji
+	Weber’s Class Number One Problem	2014	Takashi Fukuda Keiichi Komatsu Takayuki Morisawa
+ PDF Chat	Class number calculation using Siegel functions	2014	Takashi Fukuda K. Komatsu
+ PDF Chat	On $\lambda$-invariants of $\mathbb{Z}_\ell$-extensions over real abelian number fields of prime power conductors	2012	Takashi Fukuda Keiichi Komatsu Takayuki Morisawa
+	WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ<sub>2</sub>-EXTENSION OF ℚ, III	2011	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	Greenberg Conjecture for the Cyclotomic {\\mathbb Z}2-Extension of {\\mathbb Q}(√p)	2010	Takashi Fukuda
+ PDF Chat	Weber’s class number problem in the cyclotomic \mathbb{Z}_2-extension of \mathbb{Q}, II	2010	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	On the Iwasawa $\lambda $-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$	2009	Takashi Fukuda Keiichi Komatsu
+	Weber's Class Number Problem in the Cyclotomic ℤ<sub>2</sub>-Extension of ℚ	2009	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	Errata to ``On a unit group generated by special values of Siegel modular functions. II''	2007	Takashi Fukuda Tsuyoshi Itoh Keiichi Komatsu
+ PDF Chat	Iwasawa λ-invariants and Mordell–Weil ranks of abelian varieties with complex multiplication	2007	Takashi Fukuda Keiichi Komatsu Shuji Yamagata
+	Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo $2^n$	2006	Takashi Fukuda Naoki Kanayama Keiichi Komatsu
+ PDF Chat	On the Iwasawa $\lambda$-Invariant of the Cyclotomic $\mathbf{Z}_2$-Extension of a Real Quadratic Field	2005	Takashi Fukuda Keiichi Komatsu
+	$\Z_p$ -extensions associated to elliptic curves with complex multiplication	2004	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	On Minkowski units constructed by special values of Siegel modular functions	2003	Takashi Fukuda Keiichi Komatsu
+	An Application of Siegel Modular Functions to Kronecker’s Limit Formula	2002	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	Noncyclotomic Z<sub><i>p</i></sub>-Extensions of Imaginary Quadratic Fields	2002	Takashi Fukuda Keiichi Komatsu
+	On Iwasawa 𝜆₃-invariants of cyclic cubic fields of prime conductor	2000	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	Ichimura-Sumida criterion for Iwasawa $\lambda $-invariants	2000	Takashi Fukuda Keiichi Komatsu
+	Ichimura-Sumida criterion for Iwasawa λ-invariants	2000	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	On a unit group generated by special values of Siegel modular functions. II	1999	Takashi Fukuda Takeshi Itoh Keiichi Komatsu
+ PDF Chat	On a unit group generated by special values of Siegel modular functions	1999	Takashi Fukuda K. Komatsu
+ PDF Chat	On the vanishing of Iwasawa invariants of certain cyclic extensions of $\mathbf{Q}$ with prime degree, II	1998	Takashi Fukuda
+ PDF Chat	On Iwasawa $\lambda_p$-Invariants of Relative Real Cyclic Extensions of Degree $p$	1997	Takashi Fukuda Keiichi Komatsu Manabu Ozaki Hisao Taya
+ PDF Chat	A capitulation problem and Greenberg’s conjecture on real quadratic fields	1996	Takashi Fukuda K. Komatsu
+ PDF Chat	The Iwasawa λ-invariants of ℤₚ-extensions of real quadratic fields	1995	Takashi Fukuda Hisao Taya
+ PDF Chat	Remarks on $Z_p$-extensions of number fields	1994	Takashi Fukuda
+ PDF Chat	Normal bases and $\lambda$-invariants of number fields	1991	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	Iwasawa's $\lambda $-invariants of certain real quadratic fields	1989	Takashi Fukuda
+	On the λ invariants of Zp-extensions of real quadratic fields	1986	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	A remark on the $\lambda$-invariant of real quadratic fields	1986	Takashi Fukuda Keiichi Komatsu Hideo Wada
+ PDF Chat	On Zp-extensions of real quadratic fields	1986	Takashi Fukuda Keiichi Komatsu
+ PDF Chat	A class number formula of Iwasawa's modules	1982	Takashi Fukuda

Common Coauthors

Coauthor	Papers Together
Keiichi Komatsu	25
K. Komatsu	4
Takayuki Morisawa	2
Hisao Taya	2
Manabu Ozaki	2
Takeshi Itoh	1
Naoki Kanayama	1
Kenji Hashimoto	1
Hideo Wada	1
Tsuyoshi Itoh	1
Masato Yasuura	1
Takae Tsuji	1
Shuji Yamagata	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Iwasawa Invariants of Totally Real Number Fields	1976	Ralph Greenberg	15
+	On Z l -Extensions of Algebraic Number Fields	1973	Kenkichi Iwasawa	6
+	The Iwasawa Invariant μ p Vanishes for Abelian Number Fields	1979	Bruce Ferrero Lawrence C. Washington	6
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	6
+	A note on class numbers of algebraic number fields	1956	Kenkichi Iwasawa	6
+ PDF Chat	On Iwasawa $\lambda_p$-Invariants of Relative Real Cyclic Extensions of Degree $p$	1997	Takashi Fukuda Keiichi Komatsu Manabu Ozaki Hisao Taya	5
+ PDF Chat	Construction of a normal basis by special values of Siegel modular functions	1999	Keiichi Komatsu	5
+ PDF Chat	On Zp-extensions of real quadratic fields	1986	Takashi Fukuda Keiichi Komatsu	5
+	Theta functions with complex multiplication	1976	Goro Shimura	5
+	On the Iwasawa λ2-invariants of certain families of real quadratic fields	1997	Manabu Ozaki Hisao Taya	5
+ PDF Chat	The Determination of Units in Real Cyclic Sextic Fields	1980	Sirpa Mäki	4
+	ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II	1996	Humio Ichimura Hiroki Sumida-Takahashi	4
+ PDF Chat	Class number computations of real abelian number fields	1982	F. J. van der Linden	4
+	Class numbers of real cyclic number fields with small conductor	1978	John Myron Masley	4
+ PDF Chat	Iwasawa's $\lambda $-invariants of certain real quadratic fields	1989	Takashi Fukuda	4
+	A numerical study of Weber's real class number calculation	1960	Harvey Cohn	3
+ PDF Chat	On the Class Number of a Relatively Cyclic Number Field	1967	Hideo Yokoi	3
+	Modular Forms and Projective Invariants	1967	Jun-ichi Igusa	3
+ PDF Chat	Certain primary components of the ideal class group of the $\boldsymbol{Z}_p$-extension over the rationals	2007	Kuniaki Horie	3
+	On the Stickelberger ideal and the circular units of an abelian field	1980	W. Sinnott	3
+ PDF Chat	On Γ-extensions of algebraic number fields	1959	Kenkichi Iwasawa	3
+	Weber's Class Number Problem in the Cyclotomic ℤ<sub>2</sub>-Extension of ℚ	2009	Takashi Fukuda Keiichi Komatsu	3
+	Computing invariants of algebraic number fields	1996	Michael Pohst	3
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	3
+	Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper	1969	H. Bauer	3
+ PDF Chat	The ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field	2005	Kuniaki Horie	3
+ PDF Chat	Triviality in ideal class groups of Iwasawa-theoretical abelian number fields	2005	Kuniaki Horie	3
+ PDF Chat	On a unit group generated by special values of Siegel modular functions	1999	Takashi Fukuda K. Komatsu	3
+ PDF Chat	Primary components of the ideal class group of an Iwasawa-theoretical abelian number field	2007	Kuniaki Horie	2
+	Computing Iwasawa modules of real quadratic number fields	1995	James S. Kraft René Schoof	2
+	On the units of algebraic number fields	1967	Armand Brumer	2
+	Units from 3- and 4-torsion on jacobians of curves of genus 2	1994	David Grant	2
+	Über die Klassenzahl abelscher Zahlkörper	1985	Helmut Hasse	2
+	On the λ invariants of Zp-extensions of real quadratic fields	1986	Takashi Fukuda Keiichi Komatsu	2
+	On the Iwasawa 𝜆-invariants of real abelian fields	2003	Takae Tsuji	2
+ PDF Chat	On ${\bf Z}_p$-extensions of real abelian fields	1989	Akira Inatomi	2
+ PDF Chat	Theorie der Abel'schen Zahlkörper	1887	H. Wéber	2
+ PDF Chat	A Class Number Problem in the Cyclotomic $\mathbf{Z}_3$-extension of $\mathbb{Q}$	2009	Takayuki Morisawa	2
+ PDF Chat	Iwasawa λ<sub>3</sub>-invariants of certain cubic fields	2001	Manabu Ozaki Gen Yamamoto	2
+	Class fields of abelian extensions of Q	1984	Barry Mazur Andrew Wiles	2
+	Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field	2002	Kuniaki Horie	2
+	On the Ring of Modular Forms of Degree Two Over Z	1979	Jun-ichi Igusa	2
+ PDF Chat	The ideal class group of the $\boldsymbol{Z}_p$-extension over the rationals	2009	Kuniaki Horie Mitsuko Horie	2
+ PDF Chat	Riemann-Hurwitz formula and $p$-adic Galois representations for number fields	1981	Kenkichi Iwasawa	2
+ PDF Chat	A remark on the $\lambda$-invariant of real quadratic fields	1986	Takashi Fukuda Keiichi Komatsu Hideo Wada	2
+	S-Units Attached to Genus 3 Hyperelliptic Curves	1997	Jane Arledge	2
+ PDF Chat	On the Iwasawa $\lambda $-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$	2009	Takashi Fukuda Keiichi Komatsu	2
+	An Algorithm for Computing p-Class Groups of Abelian Number Fields	2006	Miho Aoki Takashi Fukuda	2
+ PDF Chat	The Iwasawa λ-invariants of ℤₚ-extensions of real quadratic fields	1995	Takashi Fukuda Hisao Taya	2
+	On the μ-invariant of p-adic L-functions attached to elliptic curves with complex multiplication	1987	Leila Schneps	2