Katsuya Miyake

Publications by Year

Research Areas

Algebraic Geometry and Number Theory, Advanced Differential Equations and Dynamical Systems, Polynomial and algebraic computation, Finite Group Theory Research, Advanced Algebra and Geometry

Most-Cited Works

• → Parametrization of the Quadratic Fields Whose Class Numbers are Divisible by Three(2000)44 cited
• → Models of certain automorphic function fields(1971)27 cited
• → Galois Theory and Modular Forms(2004)15 cited
• → A Geometric Framework for the Subfield Problem of Generic Polynomials Via Tschirnhausen Transformation(2009)13 cited
• → Tschirnhausen transformation of a cubic generic polynomial and a $2$-dimensional involutive Cremona transformation(2007)13 cited
• → Central extensions and Schur’s multiplicators of Galois groups(1983)12 cited
• → Teiji Takagi, Founder of the Japanese School of Modern Mathematics(2007)9 cited
• → On the units of an algebraic number field(1982)9 cited
• → On central extensions of a Galois extension of algebraic number fields(1984)8 cited
• On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation(2009)