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Takuro Shintani
was a Japanese mathematician working in number theory who introduced Shintani zeta function In mathematics, a Shintani zeta function or Shintani L-function is a generalization of the Riemann zeta function. They were first studied by . They include Hurwitz zeta functions and Barnes zeta functions. Definition Let P(\mathbf) be a polynomi ...s and Shintani's unit theorem. Shintani died by suicide at the age of 37 on 14 November 1980. Notes References * 1943 births 1980 deaths 20th-century Japanese mathematicians {{Japan-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Japanese People
The are an East Asian ethnic group native to the Japanese archipelago."人類学上は，旧石器時代あるいは縄文時代以来，現在の北海道〜沖縄諸島（南西諸島）に住んだ集団を祖先にもつ人々。" () Japanese people constitute 97.9% of the population of the country of Japan. Worldwide, approximately 129 million people are of Japanese descent; of these, approximately 122.5 million are residents of Japan. People of Japanese ancestry who live outside Japan are referred to as , the Japanese diaspora. Depending on the context, the term may be limited or not to mainland Japanese people, specifically the Yamato (as opposed to Ryukyuan and Ainu people). Japanese people are one of the largest ethnic groups in the world. In recent decades, there has also been an increase in the number of multiracial people with both Japanese and non-Japanese roots, including half Japanese people. History Theories of origins Archaeological evidence indi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shintani Zeta Function
In mathematics, a Shintani zeta function or Shintani L-function is a generalization of the Riemann zeta function. They were first studied by . They include Hurwitz zeta functions and Barnes zeta functions. Definition Let P(\mathbf) be a polynomial in the variables \mathbf=(x_1,\dots,x_r) with real coefficients such that P(\mathbf) is a product of linear polynomials with positive coefficients, that is, P(\mathbf)=P_1(\mathbf)P_2(\mathbf)\cdots P_k(\mathbf), where P_i(\mathbf)= a_ x_1 + a_ x_2 +\cdots + a_x_r + b_i, where a_>0, b_i>0 and k=\deg P. The ''Shintani zeta function'' in the variable s is given by (the meromorphic continuation of)\zeta(P;s)=\sum_^\frac. The multi-variable version The definition of Shintani zeta function has a straightforward generalization to a zeta function in several variables (s_1,\dots,s_k) given by\sum_^\frac.The special case when ''k'' = 1 is the Barnes zeta function. Relation to Witten zeta functions Just like Shintani zeta functio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shintani's Unit Theorem
In mathematics, Shintani's unit theorem introduced by is a refinement of Dirichlet's unit theorem and states that a subgroup of finite index of the totally positive units of a number field has a fundamental domain given by a rational polyhedric cone in the Minkowski space In mathematical physics, Minkowski space (or Minkowski spacetime) () is a combination of three-dimensional Euclidean space and time into a four-dimensional manifold where the spacetime interval between any two events is independent of the inerti ... of the field . References * * *{{citation, mr=0633664, last=Shintani, first= Takuro , chapter=A remark on zeta functions of algebraic number fields, title= Automorphic forms, representation theory and arithmetic (Bombay, 1979), pages= 255–260 , series=Tata Inst. Fund. Res. Studies in Math., volume= 10, publisher= Tata Inst. Fundamental Res., place= Bombay, year= 1981, isbn=3-540-10697-9 External links Mathematical picturesby Paul Gunnells Theorems in algebr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1943 Births
Events Below, the events of World War II have the "WWII" prefix. January * January 1 – WWII: The Soviet Union announces that 22 German divisions have been encircled at Stalingrad, with 175,000 killed and 137,650 captured. * January 4 – WWII: Greek-Polish athlete and saboteur Jerzy Iwanow-Szajnowicz is executed by the Germans at Kaisariani. * January 11 ** The United States and United Kingdom revise previously unequal treaty relationships with the Republic of China (1912–1949), Republic of China. ** Italian-American anarchist Carlo Tresca is assassinated in New York City. * January 13 – Anti-Nazi protests in Sofia result in 200 arrests and 36 executions. * January 14 – January 24, 24 – WWII: Casablanca Conference: Franklin D. Roosevelt, President of the United States; Winston Churchill, Prime Minister of the United Kingdom; and Generals Charles de Gaulle and Henri Giraud of the Free French forces meet secretly at the Anfa Hotel in Casablanca, Morocco, to plan the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1980 Deaths
__NOTOC__ Year 198 (CXCVIII) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Sergius and Gallus (or, less frequently, year 951 '' Ab urbe condita''). The denomination 198 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire *January 28 **Publius Septimius Geta, son of Septimius Severus, receives the title of Caesar. **Caracalla, son of Septimius Severus, is given the title of Augustus. China *Winter – Battle of Xiapi: The allied armies led by Cao Cao and Liu Bei defeat Lü Bu; afterward Cao Cao has him executed. By topic Religion * Marcus I succeeds Olympianus as Patriarch of Constantinople (until 211). Births * Lu Kai (or Jingfeng), Chinese official and general (d. 269) * Quan Cong, Chinese general and advisor ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
