Riemann zeta function

The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined as

{\displaystyle \zeta (s)=\sum _{n=1}^{\infty }{\frac {1}{n^{s}}}={\frac {1}{1^{s}}}+{\frac {1}{2^{s}}}+{\frac {1}{3^{s}}}+\cdots }for {\displaystyle \operatorname {Re} (s)>1}

 and its analytic continuation elsewhere.

The Riemann zeta function plays a pivotal role in analytic number theory, and has applications in physicsprobability theory, and applied statistics.

Leonhard Euler first introduced and studied the function over the reals in the first half of the eighteenth century. Bernhard Riemann‘s 1859 article “On the Number of Primes Less Than a Given Magnitude” extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation, and established a relation between its zeros and the distribution of prime numbers. This paper also contained the Riemann hypothesis, a conjecture about the distribution of complex zeros of the Riemann zeta function that many mathematicians consider the most important unsolved problem in pure mathematics.

The values of the Riemann zeta function at even positive integers were computed by Euler. The first of them, ζ(2), provides a solution to the Basel problem. In 1979 Roger Apéry proved the irrationality of ζ(3). The values at negative integer points, also found by Euler, are rational numbers and play an important role in the theory of modular forms. Many generalizations of the Riemann zeta function, such as Dirichlet seriesDirichlet L-functions and L-functions, are known.

https://en.wikipedia.org/wiki/Riemann_zeta_function

Riemann zeta function was last modified: April 8th, 2023 by Jovan Stosic

Andrew Grove

Andrew Stephen Grove (born András István Gróf; 2 September 1936 – 21 March 2016) was a Hungarian-American businessman and engineer who served as the third CEO of Intel Corporation. He escaped from Hungarian People’s Republic during 1956 revolution at the age of 20 and moved to the United States, where he finished his education. He was the third employee and eventual third CEO of Intel, transforming the company into the world’s largest semiconductor company.

As a result of his work at Intel, along with his books and professional articles, Grove had a considerable influence on electronics manufacturing industries worldwide. He has been called the “guy who drove the growth phase” of Silicon Valley. In 1997, Time magazine chose him as “Man of the Year”, for being “the person most responsible for the amazing growth in the power and the innovative potential of microchips.”One source notes that by his accomplishments at Intel alone, he “merits a place alongside the great business leaders of the 20th century.”

In 2000, he was diagnosed with Parkinson’s disease; he became a contributor to several foundations that sponsor research towards a cure. He died at his home on March 21, 2016; the cause of death was not publicly disclosed.

https://en.wikipedia.org/wiki/Andrew_Grove

Andrew Grove was last modified: April 7th, 2023 by Jovan Stosic

Niccolò Fontana Tartaglia

https://en.wikipedia.org/wiki/Niccol%C3%B2_Fontana_Tartaglia

Niccolò Fontana Tartaglia (Italian: [nikkoˈlɔ ffonˈtaːna tarˈtaʎʎa]; 1499/1500 – 13 December 1557) was an Italian mathematicianengineer (designing fortifications), a surveyor (of topography, seeking the best means of defense or offense) and a bookkeeper from the then Republic of Venice. He published many books, including the first Italian translations of Archimedes and Euclid, and an acclaimed compilation of mathematics. Tartaglia was the first to apply mathematics to the investigation of the paths of cannonballs, known as ballistics, in his Nova Scientia (A New Science, 1537); his work was later partially validated and partially superseded by Galileo‘s studies on falling bodies. He also published a treatise on retrieving sunken ships.

Niccolò Fontana Tartaglia was last modified: April 1st, 2023 by Jovan Stosic