mathematics

Kohji Matsumoto

Kohji Matsumoto is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Kohji Matsumoto rather than just read about it. In short: Kohji Matsumoto (松本耕二, Matsumoto Kōji) is a Japanese mathematician. He is professor of mathematics at Nagoya University in Nagoya, Japan.

Key takeaways

Kohji Matsumoto belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Kohji Matsumoto to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Kohji Matsumoto from memory before moving on to harder problems.

Reference excerpt

Kohji Matsumoto (松本耕二, Matsumoto Kōji) is a Japanese mathematician. He is professor of mathematics at Nagoya University in Nagoya, Japan.

Education and career Matsumoto graduated from the University of Tokyo in 1981. He got a doctoral degree from Rikkyo University in 1986, advised by Akio Fujii. His thesis was titled Discrepancy estimates for the value-distribution of the Riemann zeta-function. He became a lecturer at Iwate University in 1987 and an associate professor there in 1990. He joined Nagoya University in 1995, becoming a full professor there in 2001.

Research Matsumoto's specializations include number theory, zeta theory, and mathematical analysis. He is mostly recognized for the Matsumoto zeta function, a zeta function named after him. He co-edited Analytic Number Theory (2002), a book about prime numbers, divisor problems, Diophantine equations, and other topics related to analytic number theory, including Diophantine approximations, and the theory of zeta and L-functions. His other book, Algebraic And Analytic Aspects Of Zeta Functions And L-Functions, a compilation of lectures at the French-Japanese Winter School, was published in 2010.

Selected publications Yasushi Komori; Kohji Matsumoto; Hirofumi Tsumura (2011). "Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems". Mathematische Zeitschrift. 268 (3): 993–1011. arXiv:0908.0670. doi:10.1007/s00209-010-0705-6. S2CID 13650547. Yasutaka Ihara; Kohji Matsumoto (2010). "On Certain Mean Values And The Value-Distribution Of Logarithms Of Dirichlet L-Functions". Quarterly Journal of Mathematics. 61 (3): 637–677. doi:10.1093/qmath/haq002. Kohji Matsumoto; Hirofumi Tsumura (2006). "On Witten multiple zeta-functions associated with semisimple Lie algebras I". Annales de l'Institut Fourier. 56 (5): 1457–1504. doi:10.5802/aif.2218. Kohji Matsumoto (2005). "Liftings and mean value theorems for automorphic L-functions". Proceedings of the London Mathematical Society. 90 (2): 297–320. doi:10.1112/S0024611504015096. S2CID 37655558. Kohji Matsumoto (2003). "The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions I". Journal of Number Theory. 101 (2): 223–243. doi:10.1016/S0022-314X(03)00041-6. Kohji Matsumoto (2003). "Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series". Nagoya Mathematical Journal. 172 (2003): 59–102. doi:10.1017/S0027763000008643. Shigeki Egami; Kohji Matsumoto (2002). "Asymptotic Expansions Of Multiple Zeta Functions And Power Mean Values Of Hurwitz Zeta Functions". Journal of the London Mathematical Society. 66 (1): 41–60. doi:10.1112/S0024610702003253. S2CID 122788995. Masanori Katsurada; Kohji Matsumoto (2002). "Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III". Compositio Mathematica. 131 (3): 239–266. doi:10.1023/A:1015585314625. Kohji Matsumoto (2002). "Corrigendum and addendum to 'asymptotic series for double zeta, double gamma and Hecke L-functions'". Mathematical Proceedings of the Cambridge Philosophical Society. 132 (2): 377–384. Bibcode:2002MPCPS.132..377M. doi:10.1017/S0305004101005631. S2CID 122651721. Antanas Laurincikas; Kohji Matsumoto (2001). "The universality of zeta-functions attached to certain cusp forms". Acta Arithmetica. 98 (4): 345–359. Bibcode:2001AcAri..98..345L. doi:10.4064/aa98-4-2. Antanas Laurinčikas; Kohji Matsumoto (2000). "The joint universality and the functional independence for Lerch zeta-functions". Nagoya Mathematical Journal. 157 (2000): 211–227. doi:10.1017/S002776300000725X. Matsumoto, Kohji (1990). "Value-distribution of zeta-functions". In Nagasaka, Kenji; Fouvry, Etienne (eds.). Analytic Number Theory: Proceedings of the Japanese-French Symposium held in Tokyo, Japan, October 10-13, 1988. Lecture Notes in Mathematics. Vol. 1434. Springer. pp. 178–187. doi:10.1007/BFb0097134. ISBN 978-3-540-52787-9.

References

External links Official website

Worked examples

Example 1 — a first encounter with Kohji Matsumoto

Start with the simplest possible case. Write down what Kohji Matsumoto claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Kohji Matsumoto before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Kohji Matsumoto ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Kohji Matsumoto

In research: Kohji Matsumoto appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Kohji Matsumoto in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Kohji Matsumoto is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century Japanese mathematicians, 21st-century Japanese mathematicians, Academic staff of Nagoya University, so understanding it makes those chapters shorter.
In everyday life: Look for Kohji Matsumoto outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Kohji Matsumoto in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Kohji Matsumoto means in your own words.
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Frequently asked questions

What is Kohji Matsumoto in simple terms?

Kohji Matsumoto (松本耕二, Matsumoto Kōji) is a Japanese mathematician. He is professor of mathematics at Nagoya University in Nagoya, Japan.

Why does Kohji Matsumoto matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Kohji Matsumoto?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Kohji Matsumoto.