Miho Aoki

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All published works

Action	Title	Year	Authors
+ PDF Chat	Galois module structure of algebraic integers of cyclic cubic fields	2024	Miho Aoki
+ PDF Chat	Correction: Normal integral bases of Lehmer’s cyclic quintic fields	2024	Yu Hashimoto Miho Aoki
+	Normal integral bases of Lehmer’s cyclic quintic fields	2024	Yu Hashimoto Miho Aoki
+ PDF Chat	Normal integral bases of Lehmer's cyclic quintic fields	2023	Miho Aoki Yu Hashimoto
+	Galois module structure of algebraic integers of the simplest cubic field	2023	Hajime Ogawa Miho Aoki
+ PDF Chat	Chebyshev's bias against splitting and principal primes in global fields	2022	Miho Aoki Shin-ya Koyama
+ PDF Chat	Normal integral bases and Gaussian periods in the simplest cubic fields	2022	Yu Hashimoto Miho Aoki
+ PDF Chat	On values of the higher derivatives of the Barnes zeta function at non-positive integers	2022	Shinpei Sakane Miho Aoki
+	Normal integral bases of Lehmer's cyclic quintic fields	2022	Yu Hashimoto Miho Aoki
+	Chebyshev's Bias against Splitting and Principal Primes in Global Fields	2022	Miho Aoki Shin-ya Koyama
+	Normal integral bases and Gaussian periods in the simplest cubic fields	2021	Yu Hashimoto Miho Aoki
+	On values of the higher derivatives of the Barnes zeta function at non-positive integers	2020	Shinpei Sakane Miho Aoki
+ PDF Chat	Several properties of hypergeometric Bernoulli numbers	2019	Miho Aoki Takao Komatsu G. K. Panda
+	A family of pairs of imaginary cyclic fields of degree $$(p-1)/2$$(p-1)/2 with both class numbers divisible by p	2019	Miho Aoki Yasuhiro Kishi
+	On the Laxton group	2019	Miho Aoki Masanari Kida
+	On the Laxton Group	2018	Miho Aoki Masanari Kida
+	Remarks on hypergeometric Cauchy numbers	2018	Miho Aoki Takao Komatsu
+	Several properties of hypergeometric Bernoulli numbers	2018	Miho Aoki Takao Komatsu G. K. Panda
+	A family of pairs of imaginary cyclic fields of degree $(p-1)/2$ with both class numbers divisible by $p$	2018	Miho Aoki Yasuhiro Kishi
+	On the Laxton Group	2018	Miho Aoki Masanari Kida
+ PDF Chat	Mod $p$ equivalence classes of linear recurrence sequences of degree~$2$	2017	Miho Aoki Yuho Sakai
+	An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five	2017	Miho Aoki Yasuhiro Kishi
+	On systems of fundamental units of certain quartic fields	2015	Miho Aoki Yasuhiro Kishi
+	On Divisibility of Generalized Fibonacci Numbers.	2015	Miho Aoki Yuho Sakai
+	On the Coates-Sinnott conjecture for CM fields	2012	Miho Aoki
+	A note on the Coates-Sinnott conjecture	2009	Miho Aoki
+	On some exact sequences in the theory of cyclotomic fields	2008	Miho Aoki
+	An Algorithm for Computing p-Class Groups of Abelian Number Fields	2006	Miho Aoki Takashi Fukuda
+ PDF Chat	Notes on the structure of the ideal class groups of abelian number fields	2005	Miho Aoki
+	Local units and Gauss sums	2003	Miho Aoki
+	The Iwasawa Main Conjecture and Gauss Sums	2001	Miho Aoki
+	The Iwasawa main conjecture and Gauss sums (Algebraic number theory and related topics)	2000	Miho Aoki

Common Coauthors

Coauthor	Papers Together
Yasuhiro Kishi	4
Yu Hashimoto	4
Masanari Kida	3
Takao Komatsu	3
Shinpei Sakane	2
Yuho Sakai	2
G. K. Panda	2
Shin-ya Koyama	2
Yu Hashimoto	2
Hajime Ogawa	1
Takashi Fukuda	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Class fields of abelian extensions of Q	1984	Barry Mazur Andrew Wiles	5
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	4
+	The New Book of Prime Number Records	1996	Paulo Ribenboim	4
+	On the Numerical Factors of the Arithmetic Forms α n ± β n	1913	R. D. Carmichael	3
+	Algebraic number theory	1978	Gian‐Carlo Rota	3
+	Cyclotomic Fields I and II	1990	Serge Lang	3
+	Finding Normal Integral Bases of Cyclic Number Fields of Prime Degree	2000	Vincenzo Acciaro Claus Fieker	3
+	Kolyvagin’s System of Gauss Sums	1991	Karl Rubin	3
+	Elementary and Analytic Theory of Algebraic Numbers	2004	Władysław Narkiewicz	3
+	Sums of products of hypergeometric Bernoulli numbers	2010	Ken Kamano	2
+	Semi-local units modulo Gauss sums	1998	Yoshitaka Hachimori Humio Ichimura	2
+	On Dihedral Extensions and Frobenius Extensions	2004	Masafumi Imaoka Yasuhiro Kishi	2
+	Hypergeometric Cauchy numbers and polynomials	2017	Takao Komatsu PINGZHI YUAN	2
+ PDF Chat	On<i>p</i>-adic<i>L</i>-functions and cyclotomic fields. II	1977	Ralph Greenberg	2
+	Theorie der höheren Differentiale in einem algebraischen Funktionenkörper mit vollkommenem Konstantenkörper bei beliebiger Charakteristik.	1936	Helmut Hasse	2
+	On systems of fundamental units of certain quartic fields	2015	Miho Aoki Yasuhiro Kishi	2
+ PDF Chat	On hypergeometric Bernoulli numbers and polynomials	2017	Su Hu Min-Soo Kim	2
+ PDF Chat	Normal integral bases for Emma Lehmer’s parametric family of cyclic quintics	2004	Blair K. Spearman Kenneth S. Williams	2
+ PDF Chat	Integral bases for an infinite family of cyclic quintic fields	2006	Daniël Eloff Blair K. Spearman Kenneth S. Williams	2
+	On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves	2016	Yoshichika Iizuka Yutaka Konomi Shin Nakano	2
+	Density of Prime Divisors of Linear Recurrences	1995	Christian Ballot	2
+	New convolution identities for hypergeometric Bernoulli polynomials	2014	Hiêú D. Nguyêñ Long G. Cheong	2
+	Normal Integral Bases of a Cyclic Quintic Field	2017	Chad Tyler Davis Daniël Eloff Blair K. Spearman	2
+	Introductory Algebraic Number Theory	2003	Şaban Alaca Kenneth S. Williams	2
+	Some Determinants Involving Incomplete Fubini Numbers	2018	Takao Komatsu Jósé L. Ramírez	2
+	A Number Field with Infinitely Many Normal Integral Bases	2007	Daniël Eloff Blair K. Spearman Kenneth S. Williams	2
+ PDF Chat	An infinite family of pairs of quadratic fields Q(\sqrt D) and Q(\sqrt mD) whose class numbers are both divisible by 3	2002	Toru Komatsu	2
+	A sequence of numbers related to the exponential function	1967	F. T. Howard	2
+ PDF Chat	Connection between Gaussian periods and cyclic units	1988	Emma Lehmer	2
+	On the Ideal Class Groups of Real Abelian Number Fields	1988	F. Thaine	2
+ PDF Chat	Integral group rings: Groups of units and classical K-theory	1991	В. А. Артамонов A. A. Bovdi	2
+ PDF Chat	HYPERGEOMETRIC ZETA FUNCTIONS	2010	Abdul Hassen Hiêú D. Nguyêñ	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2
+	Some sequences of rational numbers related to the exponential function	1967	F. T. Howard	2
+ PDF Chat	Power integral bases in a parametric family of totally real cyclic quintics	1997	István Gaál Michael Pohst	2
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen	2
+ PDF Chat	Sur la ${\Bbb Z}_p$-torsion de certains modules galoisiens	1986	Thong Nguyen-Quang-Do	2
+ PDF Chat	A note on Jacobi sums	1993	Masanari Kida Takashi Ono	2
+	Gauss and Jacobi sums	1998	Bruce C. Berndt Kenneth S. Williams Ronald J. Evans	2
+	HYPERGEOMETRIC BERNOULLI POLYNOMIALS AND APPELL SEQUENCES	2008	Abdul Hassen Hiêú D. Nguyêñ	2
+ PDF Chat	Shifted poly-Cauchy numbers	2014	Takao Komatsu László Szalay	1
+ PDF Chat	Minus class groups of the fields of the 𝑙-th roots of unity	1998	René Schoof	1
+	HYPERGEOMETRIC CAUCHY NUMBERS	2012	Takao Komatsu	1
+ PDF Chat	Explicit class field theory for rational function fields	1974	David R. Hayes	1
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	1
+	A new family of imaginary quadratic fields whose class number is divisible by five	2008	Yasuhiro Kishi	1
+	Quelques calculs de la cohomologie de <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi> GL </mml:mi> <mml:mi>𝐍</mml:mi> </mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>ℤ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> et de la K-théorie de <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℤ</mml:mi></mml:math>	2002	Philippe Elbaz–Vincent Herbert Gangl Christophe Soulé	1
+ PDF Chat	Real quadratic fields with class numbers divisible by n	1973	P. Weinberger	1
+ PDF Chat	Cauchy–Carlitz numbers	2016	Hajime Kaneko Takao Komatsu	1
+ PDF Chat	Formulas for higher derivatives of the Riemann zeta function	1985	Tom M. Apostol	1