Search results
Results From The WOW.Com Content Network
To date, the only Millennium Prize problem to have been solved is the Poincaré conjecture. The Clay Institute awarded the monetary prize to Russian mathematician Grigori Perelman in 2010. However, he declined the award as it was not also offered to Richard S. Hamilton, upon whose work Perelman built.
The generating function of the Bernoulli polynomials is given by: = = ()! These polynomials are given in terms of the Hurwitz zeta function: (,) = = (+)by (,) = for .Using the Ramanujan master theorem and the generating function of Bernoulli polynomials one has the following integral representation: [6]
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Missing baryon problem (1998 [116] –2017): proclaimed solved in October 2017, with the missing baryons located in hot intergalactic gas. [117] [118] Long-duration gamma-ray bursts (1993 [113] –2003): Long-duration bursts are associated with the deaths of massive stars in a specific kind of supernova-like event commonly referred to as a ...
Another goal is the development of quantum computers, which are expected to perform certain computational tasks exponentially faster than classical computers.Instead of using classical bits, quantum computers use qubits, which can be in superpositions of states.
Equity premium puzzle: The equity premium puzzle is thought to be one of the most important outstanding questions in neoclassical economics. [6] It is founded on the basis that over the last one hundred years or so the average real return to stocks in the US has been substantially higher than that of bonds.
A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface in the domain. [1]
The main conjecture of Iwasawa theory, proved by Barry Mazur and Andrew Wiles for cyclotomic fields, and Wiles for totally real fields, identifies the zeros of a p-adic L-function with the eigenvalues of an operator, so can be thought of as an analogue of the Hilbert–Pólya conjecture for p-adic L-functions.