Ryotaro Okazaki

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All published works

Action	Title	Year	Authors
+	Filtrations of units of Viète field	2019	Takayuki Morisawa Ryotaro Okazaki
+	Genus 3 Curves Whose Jacobians Have Endomorphisms by $\mathbb{Q}(\zeta _7 +\bar{\zeta}_7 )$, II	2019	J. William Hoffman Dun Liang Zhibin Liang Ryotaro Okazaki Yukiko Sakai Haohao Wang
+	On Parities of Relative Class Numbers of certain CM-Extensions	2018	Ryotaro Okazaki
+ PDF Chat	Height and Weber’s Class Number Problem	2016	Takayuki Morisawa Ryotaro Okazaki
+	Genus 3 curves whose Jacobians have endomorphisms by $Q (\zeta _7 +\bar{\zeta}_7 )$, II	2014	J. William Hoffman Dun Liang Zhibin Liang Ryotaro Okazaki Yukiko Sakai Haohao Wang
+	Genus 3 curves whose Jacobians have endomorphisms by $Q (ζ_7 +\barζ_7 )$, II	2014	J. William Hoffman Dun Liang Zhibin Liang Ryotaro Okazaki Yukiko Sakai Haohao Wang
+ PDF Chat	Mahler measure and Weber's class number problem in the cyclotomic $\boldsymbol{Z}_p$-extension of $\boldsymbol{Q}$ for odd prime number $p$	2013	Takayuki Morisawa Ryotaro Okazaki
+ PDF Chat	Similar dissection of sets	2010	Shigeki Akiyama Jun Luo Ryotaro Okazaki Wolfgang Steiner Jörg Μ. Thuswaldner
+ PDF Chat	Quartic Thue equations	2009	Shabnam Akhtari Ryotaro Okazaki
+ PDF Chat	On the number of solutions of simultaneous Pell equations II	2006	Michael A. Bennett Mihai Cipu Maurice Mignotte Ryotaro Okazaki
+	The Representation of Unity by Quartic Forms (Diophantine Problems and Analytic Number Theory)	2003	Ryotaro Okazaki
+	Geometry of a cubic Thue equation	2002	Ryotaro Okazaki
+ PDF Chat	Inclusion of CM-fields and divisibility ofrelative class numbers	2000	Ryotaro Okazaki
+	Determination of all quaternion CM-fields with ideal class groups of exponent 2	1999	Stéphane Louboutin Ryotaro Okazaki
+	On a Shintani decomposition for a cubic field defined by X3 + kX - 1 = 0	1998	Ryotaro Okazaki
+ PDF Chat	The class number one problem for some non-abelian normal CM-fields	1997	Stéphane Louboutin Ryotaro Okazaki Michel Olivier
+	An Elementary Proof for a Theorem of Thomas and Vasquez	1995	Ryotaro Okazaki
+ PDF Chat	Determination of all quaternion octic CM-fields with ideal class groups of exponents $2$. Abridged version	1994	Stéphane Louboutin Ryotaro Okazaki
+ PDF Chat	Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one	1994	Stéphane Louboutin Ryotaro Okazaki
+	On an effective determination of Shintani's decomposition of the cone R[+][n]	1993	Ryotaro Okazaki
+ PDF Chat	On an effective determination of a Shintani’s decomposition of the cone $\mathbf{R}^n_+$	1993	Ryotaro Okazaki
+ PDF Chat	On evaluation of $L$-functions over real quadratic fields	1991	Ryotaro Okazaki

Common Coauthors

Coauthor	Papers Together
Stéphane Louboutin	4
Takayuki Morisawa	3
Zhibin Liang	3
Haohao Wang	3
J. William Hoffman	3
Yukiko Sakai	3
Dun Liang	3
Michel Olivier	1
Jörg Μ. Thuswaldner	1
Maurice Mignotte	1
Mihai Cipu	1
Shabnam Akhtari	1
Shigeki Akiyama	1
Wolfgang Steiner	1
Jun Luo	1
Michael A. Bennett	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	4
+	On a ratio between relative class numbers	1992	Kuniaki Horie	3
+	Determination of all Quaternion Octic CM-Fields with Class Number 2	1996	Stéphane Louboutin	3
+	Abelian Varieties with Complex Multiplication and Modular Functions	1998	Goro Shimura	3
+	Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field	2002	Kuniaki Horie	3
+	Some analytic bounds for zeta functions and class numbers	1979	Jeffrey Hoffstein	3
+ PDF Chat	Calcul du nombre de classes des corps de nombres	1995	Stéphane Louboutin	2
+	Artin-root numbers and normal integral bases for quaternion fields	1972	A. Fröhlich	2
+	A note on class numbers of algebraic number fields	1956	Kenkichi Iwasawa	2
+	Primary components of the ideal class group of the Zp-extension over Q for typical inert primes	2005	Kuniaki Horie	2
+	On Complex Quadratic Fields with Class-Number Two	1975	H. M. Stark	2
+	On Analytic Families of Polarized Abelian Varieties and Automorphic Functions	1963	Goro Shimura	2
+	Über die Klassenzahl abelscher Zahlkörper	1985	Helmut Hasse	2
+	Endomorphism Algebras of Jacobians	2001	Jordan S. Ellenberg	2
+ PDF Chat	Weber’s class number problem in the cyclotomic \mathbb{Z}_2-extension of \mathbb{Q}, II	2010	Takashi Fukuda Keiichi Komatsu	2
+ PDF Chat	K3 surfaces and equations for Hilbert modular surfaces	2014	Noam D. Elkies Abhinav Kumar	2
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	2
+ PDF Chat	On CM-fields with the same maximal real subfield	1994	Kuniaki Horie	2
+	An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers	1998	E M Matveev	2
+	On the Periods of Certain Rational Integrals: I	1969	Philip A. Griffiths	2
+	Class numbers of real cyclic number fields with small conductor	1978	John Myron Masley	2
+ PDF Chat	Kuroda's class number formula	1994	Franz Lemmermeyer	2
+ PDF Chat	The ideal class group of the Z23-extension over the rational field	2009	Kuniaki Horie Mitsuko Horie	2
+ PDF Chat	Ideal class groups of cyclotomic number fields I	1995	Franz Lemmermeyer	2
+ PDF Chat	Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one	1994	Stéphane Louboutin Ryotaro Okazaki	2
+	Some effective cases of the Brauer-Siegel Theorem	1974	H. Stärk	2
+ PDF Chat	The ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field	2005	Kuniaki Horie	2
+ PDF Chat	Lower bounds for relative class numbers of CM-fields	1994	Stéphane Louboutin	2
+	Some analytic estimates of class numbers and discriminants	1975	Andrew Odlyzko	2
+ PDF Chat	On complex quadratic fields wth class-number two	1975	H. Stärk	2
+	Weber's Class Number Problem in the Cyclotomic ℤ<sub>2</sub>-Extension of ℚ	2009	Takashi Fukuda Keiichi Komatsu	2
+ PDF Chat	The Determination of the Imaginary Abelian Number Fields with Class Number One	1994	Ken Yamamura	2
+	WEBER'S CLASS NUMBER PROBLEM IN THE CYCLOTOMIC ℤ<sub>2</sub>-EXTENSION OF ℚ, III	2011	Takashi Fukuda Keiichi Komatsu	2
+ PDF Chat	Endomorphism rings of abelian surfaces and projective models of their moduli spaces	1999	Bernhard Runge	2
+ PDF Chat	A complete determination of the complex quadratic fields of class-number one.	1967	H. Stärk	2
+ PDF Chat	Lower Bounds for Relative Class Numbers of CM-Fields	1994	Stéphane Louboutin	2
+ PDF Chat	The ideal class group of the $\boldsymbol{Z}_p$-extension over the rationals	2009	Kuniaki Horie Mitsuko Horie	1
+	Mathematical Thought from Ancient to Modern Times	1990	Morris Kline	1
+	Die Anzahl der durch vier teilbaren Invarianten der Klassengruppe eines beliebigen quadratischen Zahlkörpers.	1934	L. Rédei H. Reichardt	1
+ PDF Chat	Shimura Curves for Level-3 Subgroups of the (2,3,7) Triangle Group, and Some Other Examples	2006	Noam D. Elkies	1
+ PDF Chat	On the maximum modulus of cyclotomic integers	1972	John Loxton	1
+	Estimates for reduced binary forms.	1993	Jan‐Hendrik Evertse	1
+	Binary Quadratic Forms: Classical Theory and Modern Computations	1989	Duncan A. Buell	1
+ PDF Chat	Syzygies of torsion bundles and the geometry of the level ℓ modular variety over $\overline{\mathcal{M}}_{g}$	2012	A Chiodo David Eisenbud Gavril Farkas Frank–Olaf Schreyer	1
+	On the class number and the unit group of certain algebraic number fields	1966	Hideo Wada	1
+ PDF Chat	Determination of all quaternion octic CM-fields with ideal class groups of exponents $2$. Abridged version	1994	Stéphane Louboutin Ryotaro Okazaki	1
+ PDF Chat	Class number computations of real abelian number fields	1982	F. J. van der Linden	1
+ PDF Chat	On evaluation of $L$-functions over real quadratic fields	1991	Ryotaro Okazaki	1
+	Polyominoes of order 3 do not exist	1992	Ian Stewart A Wormstein	1
+ PDF Chat	CM-fields and exponents of their ideal class groups	1990	Kuniaki Horie Mitsuko Horie	1