Who is the mathematician s conjecture and the mathematician of arithmetic inquiry?

1. Gödel.

Kurt Gödel (28 April 1906 – 14 January 1978) was a mathematician, logician and philosopher. His most outstanding contributions are Gödel's incompleteness theorem and the proof of relative harmony of the continuum hypothesis.

2, Yang Hui. Yang Hui is the author of 21 volumes of 5 kinds of mathematical works, namely 12 volumes of "Detailed Explanation of Nine Chapters of Algorithms", 2 volumes of "Daily Algorithms", 3 volumes of "Multiplication and Division", 2 volumes of "Multiplication and Division" and 2 volumes of "Continuation of Ancient Picking Algorithms".

3. Johann Karl Friedrich Gauss.

Johann Carl Friedrich Gauss (April 30, 1777 – February 23, 1855) was a famous German mathematician, physicist, astronomer, geometrician, and geodesyman.

Gödel Kumayurt Gödel. The Study of Arithmetic is an epoch-making work that puts an end to the unsystematic state of number theory before the 19th century. In this book, Gauss systematically sorted out all the outstanding and sporadic achievements of his predecessors in number theory, actively promoted them, gave standardized marks, classified the research problems and known methods for solving them, and introduced new methods.

The Studies in Arithmetic is written in Latin. The book was written on the eve of Gauss's graduation from university and took three years to write. In 1800, Gauss sent the manuscript to the French Academy of Sciences for publication, but was refused, so Gauss had to raise his own funds to publish it.

In Arithmetic Studies, Gauss discusses the theory of types at unusually great length. After abstracting the concept of equivalence of types from the work of Lagrange Liquid Youshan, he came up with a series of equivalence theorems and composite theories of types in one fell swoop, and his work effectively demonstrated the importance of types - for proving any number of theorems about integers. It was due to Gauss's leadership that the theory of types became a major topic in number theory in the 19th century.

Gauss's discussion of geometric tables of types and types was the beginning of what is now known as the geometry of numbers.

French mathematician Henri Poincaré proposed a conjecture in 1904: in a closed three-dimensional space, if each closed curve can shrink to a point, this space must be a sphere. The popular understanding is:

If we stretch the rubber belt around the surface of an apple, then we can neither tear it off nor let it off the surface, causing it to move slowly and shrink into a point; On the other hand, if we imagine that the same rubber belt is stretched on a tire face in the proper direction, there is no way to shrink it to a point without tearing off the rubber belt or the tire face. We say that the apple surface is "single-connected", while the tread is not. This conjecture is listed as one of the seven major mathematical problems of the 21st century.

In May 2000, the Clay Institute of Mathematics offered a reward of $1 million for each problem solved.

Introduction to the Riemann hypothesis].

Some numbers have special properties that cannot be expressed as the product of two smaller numbers, for example, 2, 3, 5, 7, and so on. Such a number is called a prime number; They play an important role in both pure mathematics and its applications. In all natural numbers, the distribution of such prime numbers does not follow any regular pattern; However, the German mathematician Riemann (1826 1866) observed that the frequency of prime numbers is closely related to the properties of a well-constructed so-called Riemann Zeita function z(s$.

The famous Riemann hypothesis asserts that all meaningful solutions to the equation z(s)=0 are in a straight line. This has been verified for the first 1,500,000,000 solutions. Proving that it holds true for every meaningful solution will shed light on many mysteries surrounding the distribution of prime numbers.

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