mathematics

Nobushige Kurokawa

Nobushige Kurokawa 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 Nobushige Kurokawa rather than just read about it. In short: Nobushige Kurokawa (黒川信重, Kurokawa Nobushige; born 1952) is a Japanese mathematician working in number theory, especially analytic number theory, multiple trigonometric function theory, zeta functions and automorphic forms. He is currently a professor emeritus at Tokyo Institute of Technology.

Key takeaways

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

Reference excerpt

Nobushige Kurokawa (黒川信重, Kurokawa Nobushige; born 1952) is a Japanese mathematician working in number theory, especially analytic number theory, multiple trigonometric function theory, zeta functions and automorphic forms. He is currently a professor emeritus at Tokyo Institute of Technology.

Books with Shin-ya Koyama, 多重三角関数論講義 (Lectures on multiple sine functions), 2010. Lectures notes originally from April–July 1991 at University of Tokyo. with Shinya Koyama, Absolute Mathematics, 2010. (Japanese) Pursuit of the Riemann Hypothesis: ABC to Z, 2012. (Japanese) Beyond the Riemann Hypothesis: Deep Riemann Hypothesis (DRH), 2013. (Japanese) Modern trigonometric function theory, 2013. (Japanese) Principles of Absolute Mathematics, 2016. (Japanese) The World of Absolute Mathematics: Riemann Hypothesis, Langlands conjecture, Sato conjecture, 2017. (Japanese) with Shinya Koyama, Introduction to the ABC conjecture, 2018. (Japanese)

References

External links Journey to the world of absolute mathematics at Tokyo Institute of Technology, March 28, 2017 (video)

Worked examples

Example 1 — a first encounter with Nobushige Kurokawa

Start with the simplest possible case. Write down what Nobushige Kurokawa 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 Nobushige Kurokawa 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 Nobushige Kurokawa 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 Nobushige Kurokawa

In research: Nobushige Kurokawa 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 Nobushige Kurokawa 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: Nobushige Kurokawa is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1952 births, 20th-century Japanese mathematicians, 21st-century Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Nobushige Kurokawa 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 Nobushige Kurokawa in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Nobushige Kurokawa means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Nobushige Kurokawa out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Nobushige Kurokawa in simple terms?

Why does Nobushige Kurokawa 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 Nobushige Kurokawa?

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 Nobushige Kurokawa.