|
Kohji Matsumoto
is a Japanese number theorist. 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 In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rikkyo University
, also known as Saint Paul's University, is a private university, in Ikebukuro, Tokyo, Japan. Rikkyo is known as one of the six leading universities in the field of sports in Tokyo (東京六大学 "Big Six" — Rikkyo University, University of Tokyo, Keio University, Waseda University, Meiji University, and Hosei University). A leading liberal arts teaching and research institution, the university is the largest Anglican Christian affiliated university in Japan. The university is internationally oriented and involved in numerous international programmes and projects. Rikkyo maintains contact with more than 140 educational institutions abroad for the purpose of exchanging lecturers, students and projects. With more than 700 students from outside Japan, the institution has 20,000 students, and 2,700 teachers and staff members. Rikkyo University's deviation value is in the top 10 in the ranking of private universities in Japan. Rikkyo Gakuin Rikkyo Primary School, Rikkyo Ikebuk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nagoya University
, abbreviated to or NU, is a Japanese national research university located in Chikusa-ku, Nagoya. It was the seventh Imperial University in Japan, one of the first five Designated National University and selected as a Top Type university of Top Global University Project by the Japanese government. It is the 3rd highest ranked higher education institution in Japan (84th worldwide). The university is the birthplace of the Sakata School of physics and the Hirata School of chemistry. As of 2021, seven Nobel Prize winners have been associated with Nagoya University, the third most in Japan and Asia behind Kyoto University and the University of Tokyo. History Nagoya University traces its roots back to 1871 when it was the Temporary Medical School/Public Hospital. In 1939 it became Nagoya Imperial University (), the last Imperial University of Japanese Empire. In 1947 it was renamed Nagoya University (), and became a Japanese national university. In 2014, according to the r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matsumoto Zeta Function
In mathematics, Matsumoto zeta functions are a type of zeta function introduced by Kohji Matsumoto in 1990. They are functions of the form :\phi(s)=\prod_\frac where ''p'' is a prime and ''A''''p'' is a polynomial In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An exa .... References * Zeta and L-functions {{numtheory-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nagoya
is the largest city in the Chūbu region, the fourth-most populous city and third most populous urban area in Japan, with a population of 2.3million in 2020. Located on the Pacific coast in central Honshu, it is the capital and the most populous city of Aichi Prefecture, and is one of Japan's major ports along with those of Tokyo, Osaka, Kobe, Yokohama, and Chiba. It is the principal city of the Chūkyō metropolitan area, which is the third-most populous metropolitan area in Japan with a population of 10.11million in 2020. In 1610, the warlord Tokugawa Ieyasu, a retainer of Oda Nobunaga, moved the capital of Owari Province from Kiyosu to Nagoya. This period saw the renovation of Nagoya Castle. The arrival of the 20th century brought a convergence of economic factors that fueled rapid growth in Nagoya, during the Meiji Restoration, and became a major industrial hub for Japan. The traditional manufactures of timepieces, bicycles, and sewing machines were followed by th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Tokyo
, abbreviated as or UTokyo, is a public research university located in Bunkyō, Tokyo, Japan. Established in 1877, the university was the first Imperial University and is currently a Top Type university of the Top Global University Project by the Japanese government. UTokyo has 10 faculties, 15 graduate schools and enrolls about 30,000 students, about 4,200 of whom are international students. In particular, the number of privately funded international students, who account for more than 80%, has increased 1.75 times in the 10 years since 2010, and the university is focusing on supporting international students. Its five campuses are in Hongō, Komaba, Kashiwa, Shirokane and Nakano. It is considered to be the most selective and prestigious university in Japan. As of 2021, University of Tokyo's alumni, faculty members and researchers include seventeen prime ministers, 18 Nobel Prize laureates, four Pritzker Prize laureates, five astronauts, and a Fields Medalist. Hist ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Iwate University
Iwate University ( ja, 岩手大学, ''Iwate Daigaku'', abbreviated as ''Gandai'' or ''岩大'') is a national university located in Morioka, Japan. Founded in 1876 as the , the school was formally established as Iwate University in 1949. With its main campus located in Morioka, and another in Kamaishi, Iwate, it has several research institutes at cities in the Sanriku region to support the reconstruction of the fishing industry due to the 2011 Tōhoku earthquake and tsunami, 2011 Tōhoku Earthquake. These are under the jurisdiction of the Iwate University Sanriku Reconstruction and Regional Revitalization Promotion Organization. History Originating in 1876 as the , the school was formally established as Iwate University in 1949 under the Educational reform in occupied Japan, new educational system, by integrating Iwate Prefectural Training Center for Supplementary Vocational School Teachers, Morioka Higher Technical School and Morioka Imperial College of Agriculture and Forestry. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Numbers
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diophantine Equations
In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, such that the only solutions of interest are the integer ones. A linear Diophantine equation equates to a constant the sum of two or more monomials, each of degree one. An exponential Diophantine equation is one in which unknowns can appear in exponents. Diophantine problems have fewer equations than unknowns and involve finding integers that solve simultaneously all equations. As such systems of equations define algebraic curves, algebraic surfaces, or, more generally, algebraic sets, their study is a part of algebraic geometry that is called ''Diophantine geometry''. The word ''Diophantine'' refers to the Hellenistic mathematician of the 3rd century, Diophantus of Alexandria, who made a study of such equations and was one of the first mathematicians to introduce symbolism into algebra. The mathematical study of Diophantine problems that Di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Number Theory
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet ''L''-functions to give the first proof of Dirichlet's theorem on arithmetic progressions. It is well known for its results on prime numbers (involving the Prime Number Theorem and Riemann zeta function) and additive number theory (such as the Goldbach conjecture and Waring's problem). Branches of analytic number theory Analytic number theory can be split up into two major parts, divided more by the type of problems they attempt to solve than fundamental differences in technique. *Multiplicative number theory deals with the distribution of the prime numbers, such as estimating the number of primes in an interval, and includes the prime number theorem and Dirichlet's theorem on primes in arithmetic progressions. *Additive number th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
