Humio Ichimura

539 total citations
98 papers, 368 citations indexed

About

Humio Ichimura is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Humio Ichimura has authored 98 papers receiving a total of 368 indexed citations (citations by other indexed papers that have themselves been cited), including 86 papers in Geometry and Topology, 55 papers in Algebra and Number Theory and 31 papers in Mathematical Physics. Recurrent topics in Humio Ichimura's work include Algebraic Geometry and Number Theory (83 papers), Analytic Number Theory Research (41 papers) and Advanced Algebra and Geometry (23 papers). Humio Ichimura is often cited by papers focused on Algebraic Geometry and Number Theory (83 papers), Analytic Number Theory Research (41 papers) and Advanced Algebra and Geometry (23 papers). Humio Ichimura collaborates with scholars based in Japan. Humio Ichimura's co-authors include Shōichi Nakajima, Masanobu Kaneko and Satoru Nakajima and has published in prestigious journals such as Pacific Journal of Mathematics, Proceedings of the American Mathematical Society and Journal of Algebra.

In The Last Decade

Humio Ichimura

77 papers receiving 304 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Humio Ichimura Japan	9	338	191	116	78	62	98	368
Georges Gras France	11	397 1.2×	194 1.0×	159 1.4×	89 1.1×	78 1.3×	55	449
Jean-François Jaulent France	10	295 0.9×	141 0.7×	123 1.1×	46 0.6×	67 1.1×	47	317
Hershy Kisilevsky Canada	9	216 0.6×	120 0.6×	126 1.1×	44 0.6×	35 0.6×	28	271
W. Sinnott United States	9	370 1.1×	181 0.9×	230 2.0×	59 0.8×	41 0.7×	14	432
Tauno Metsänkylä Finland	10	178 0.5×	195 1.0×	82 0.7×	56 0.7×	51 0.8×	35	280
Frank Gerth United States	9	220 0.7×	139 0.7×	121 1.0×	75 1.0×	72 1.2×	48	285
Jack Sonn Israel	8	211 0.6×	106 0.6×	87 0.8×	151 1.9×	58 0.9×	59	262
Kurt Girstmair Austria	9	140 0.4×	132 0.7×	69 0.6×	45 0.6×	38 0.6×	58	221
E. Hecke Germany	4	114 0.3×	100 0.5×	91 0.8×	31 0.4×	28 0.5×	6	205
Nils Bruin Canada	10	259 0.8×	116 0.6×	84 0.7×	37 0.5×	42 0.7×	21	276

Countries citing papers authored by Humio Ichimura

Since Specialization

Citations

This map shows the geographic impact of Humio Ichimura's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Humio Ichimura with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Humio Ichimura more than expected).

Fields of papers citing papers by Humio Ichimura

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Humio Ichimura. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Humio Ichimura. The network helps show where Humio Ichimura may publish in the future.

Co-authorship network of co-authors of Humio Ichimura

This figure shows the co-authorship network connecting the top 25 collaborators of Humio Ichimura. A scholar is included among the top collaborators of Humio Ichimura based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Humio Ichimura. Humio Ichimura is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Ichimura, Humio, et al.. (2022). On the class groups of certain imaginary cyclic fields of 2-power degree. Journal of the Mathematical Society of Japan. 74(3).

Ichimura, Humio. (2020). Relative class numbers inside the $p$th cyclotomic field. Osaka Journal of Mathematics. 57(4). 949–959. 1 indexed citations

Ichimura, Humio. (2016). On a duality of Gras between totally positive and primary cyclotomic units. Okayama University Scientific Achievement Repository (Okayama University). 58(1). 125–132. 6 indexed citations

Ichimura, Humio & Shōichi Nakajima. (2012). On the 2-part of the class numbers of cyclotomic fields of prime power conductors. Journal of the Mathematical Society of Japan. 64(1). 9 indexed citations

Ichimura, Humio, et al.. (2012). On the Iwasawa lambda invariant of an imaginary abelian field of conductor 3pn+1. Journal of Number Theory. 133(2). 787–801. 4 indexed citations

Ichimura, Humio. (2010). Hilbert-Speiser number fields and the complex conjugation. Journal of the Mathematical Society of Japan. 62(1). 2 indexed citations

Ichimura, Humio. (2007). NOTE ON HILBERT-SPEISER NUMBER FIELDS AT A PRIME ＄p＄. Yokohama National University Repository (Yokohama National University). 54(1). 45–53. 1 indexed citations

Ichimura, Humio, et al.. (2006). Stickelberger ideals of conductor p and their application. Journal of the Mathematical Society of Japan. 58(3). 6 indexed citations

Ichimura, Humio. (2006). Stickelberger Ideals and Normal Bases of Rings of p-integers. Okayama University Scientific Achievement Repository (Okayama University). 48(1). 9–20. 6 indexed citations

10.

Ichimura, Humio. (2006). NORMAL INTEGRAL BASES AND RAY CLASS GROUPS, II. The Yokohama mathematical journal = 横濱市立大學紀要. D部門, 数学. 53(1). 75–81. 3 indexed citations

11.

Ichimura, Humio. (2004). On normal integral bases of unramified abelian p-extensions over a global function field of characteristic p. Finite Fields and Their Applications. 10(3). 432–437. 2 indexed citations

12.

Ichimura, Humio. (2003). Note on the Ring of Integers of a Kummer Extension of Prime Degree(I). Rikkyo University academic repository (Rikko Roots) (Rikkyo University). 52(1). 59–67.

13.

Ichimura, Humio. (2001). Note on Cyclotomic Units and Gauss Sums in Local Cyclotomic Fields. Journal of Number Theory. 90(1). 154–165. 1 indexed citations

14.

Ichimura, Humio. (2001). On Power Integral Bases of Unramified Cyclic Extensions of Prime Degree. Journal of Algebra. 235(1). 104–112. 6 indexed citations

15.

Ichimura, Humio. (1998). On the Class Numbers of the Maximal Real Subfields of Cyclotomic Function Fields. Finite Fields and Their Applications. 4(2). 167–174. 5 indexed citations

16.

Ichimura, Humio. (1996). On a normal integral bases problem over cyclotomic Zp-extensions. Journal of the Mathematical Society of Japan. 48(4). 8 indexed citations

17.

Ichimura, Humio, et al.. (1996). On the Iwasawa $了$-invariant of the Real $p$-cyclotomic Field. Journal of mathematical sciences. 3(2). 457–470. 3 indexed citations

18.

Ichimura, Humio. (1989). On the coefficients of the universal power series for Jacobi sums. 36(1). 1–7. 5 indexed citations

19.

Ichimura, Humio & Masanobu Kaneko. (1989). On the universal power series for Jacobi sums and the vandiver conjecture. Journal of Number Theory. 31(3). 312–334. 8 indexed citations

20.

Ichimura, Humio, et al.. (1984). On the divisibility problem of the class numbers of algebraic number fields. Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics. 30(3). 579–585. 13 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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