Biographical Sketch of Professor Humio Ichimura

DOI10.5036/mjiu.54.iOpenAlexW4312707979MaRDI QIDQ5046154

No author found.

Publication date: 27 October 2022

Published in: Mathematical Journal of Ibaraki University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5036/mjiu.54.i

Mathematics Subject Classification ID

Conference proceedings and collections of articles (00Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Real abelian fields satisfying the Hilbert-Speiser condition for some small primes \(p\)
• A note on the relative class number of the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q(\sqrt{-p})\).
• Normal integral basis and ray class group modulo 4.
• On normal integral bases of unramified abelian \(p\)-extensions over a global function field of characteristic \(p\)
• On the 2-part of the ideal class group of the cyclotomic \(\mathbb Z_p\)-extension over the rationals
• On the parity of the class number of an imaginary abelian field of conductor \(2^{a} p^{b}\)
• Construction of certain maximal p-ramified extensions over cyclotomic fields
• On the 2-part of the class numbers of cyclotomic fields of prime power conductors
• On the ring of \(p\)-integers of a cyclic \(p\)-extension over a number field
• A class number formula for the \(p\)-cyclotomic field
• A note on the universal power series for Jacobi sums
• Note on imaginary quadratic fields satisfying the Hilbert-Speiser condition at a prime \(p\)
• Hilbert-Speiser number fields for a prime \(p\) inside the \(p\)-cyclotomic field
• Hilbert-Speiser number fields and Stickelberger ideals
• Note on the rings of integers of certain tame 2-Galois extensions over a number field
• On 2-rank of the ideal class groups of totally real number fields
• A note on a global version of the Coleman embedding
• On the class groups of pure function fields
• On the universal power series for Jacobi sums and the Vandiver conjecture
• Class numbers of real quadratic function fields of genus one
• On the class numbers of the maximal real subfields of cyclotomic function fields
• On the class numbers of the maximal real subfields of cyclotomic function fields. II
• On a relative normal integral basis problem over abelian number fields
• On some congruences for units of local \(p\)-cyclotomic fields
• On a normal integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions
• On the Iwasawa invariants of certain real abelian fields
• Semi-local units modulo Gauss sums
• Local units modulo Gauss sums
• On the ring of integers of a tame Kummer extension over a number field.
• Note on the class numbers of certain real quadratic fields
• A note on unramified quadratic extensions over algebraic number fields
• Triviality of Iwasawa module associated to some abelian fields of prime conductors
• Note on the class number of the \(p\)th cyclotomic field
• Note on the class number of the \(p\)th cyclotomic field. III.
• On a theorem of Kawamoto on normal bases of rings of integers
• On power integral bases of unramified cyclic extensions of prime degree
• On a power integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions
• Note on the ring of integers of a Kummer extension of prime degree. V.
• On a quotient of the unramified Iwasawa module over an abelian number field. II.
• On a normal integral basis problem over cyclotomic \(Z_{p}\)-extensions. II.
• A note on the Iwasawa \(\lambda\)-invariants of real quadratic fields
• On the Iwasawa lambda invariant of an imaginary abelian field of conductor \(3p^{n+1}\)
• A note on the relative class number of the cyclotomic \(\mathbb Z_p\)-extension of \(\mathbb Q(\sqrt{-p})\). II
• A note on quadratic fields in which a fixed prime number splits completely. II
• A note on quadratic fields in which a fixed prime number splits completetly. III
• On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree
• On the class groups of certain imaginary cyclic fields of 2-power degree
• Relative class numbers inside the \(p\)th cyclotomic field
• Note on Galois descent of a normal integral basis of acyclic extension of degree \(p\)
• Hilbert-Speiser number fields and the complex conjugation
• Note on class number parity of an abelian field of prime conductor. II
• Refined version of Hasse's satz 45 on class number parity
• Class number parity of a quadratic twist of a cyclotomic field of prime power conductor
• Stickelberger ideals of conductor \(p\) and their application
• Note on Bernoulli numbers associated to some Dirichlet character of prime conductor
• Normal integral basis of an unramified quadratic extension over a cyclotomic \(\mathbb{Z}_2\)-extension
• Semi-local units at \(p\) of a cyclotomic \(\mathbb{Z}_p\)-extension congruent to 1 modulo \(\zeta_p - 1\)
• ON THE IWASAWA INVARIANTS OF CERTAIN REAL ABELIAN FIELDS II
• Nonvanishing of a certain Bernoulli number and a related topic
• NOTE ON THE RELATIVE CLASS NUMBER OF THE 7n th CYCLOTOMIC FIELD
• Note on class number parity of an abelian field of prime conductor
• Class group of a cyclotomic Z_p×Z_l-extension
• On a Theorem of Kawamoto on Normal Bases of Rings of Integers, II
• Imaginary quadratic fields satisfying the Hilbert–Speiser type condition for a small prime p
• On Hilbert–Speiser type imaginary quadratic fields
• On the parity of the class number of the 7nth cyclotomic field
• A note on quadratic fields in which a fixed prime number splits completely
• A note on Greenberg’s conjecture and the abc conjecture
• ON A THEOREM OF CHILDS ON NORMAL BASES OF RINGS OF INTEGERS
• An infinite family of totally real number fields
• A note on the ideal class group of the cyclotomic Z_p-extension of a totally real number field
• On p-adic L-functions and normal bases of rings of integers.
• Quadratic function fields whose class numbers are not divisible by three
• Normal integral bases and ray class groups
• Indivisibility of the class number of a real abelian field of prime conductor
• On the class number of a real abelian field of prime conductor
• NOTE ON A CONGRUENCE FOR THE FERMAT QUOTIENT WITH BASE 2
• Note on the Class Number of the pth Cyclotomic Field, II
• ON THE 2-ADIC IWASAWA LAMBDA INVARIANTS OF THE p-CYCLOTOMIC FIELDS AND THEIR QUADRATIC TWISTS
• Note on class number parity of an abelian field of prime conductor, III
• A note on integral bases of unramified cyclic extensions of prime degree. II
• On a quotient of the unramified Iwasawa module over an abelian number field
• Note on the ring of integers of a Kummer extension of prime degree. II
• Note on cyclotomic units and Gauss sums in local cyclotomic fields
• Note on the ring of integers of a Kummer extension of prime degree. IV
• Note on the ring of integers of a Kummer extension of prime degree. III
• A note on integral bases of unramified cyclic extensions of prime degree

This page was built for publication: Biographical Sketch of Professor Humio Ichimura