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The conjecture is that there is a simple way to tell whether such equations have a finite or infinite number of rational solutions. More specifically, the Millennium Prize version of the conjecture is that, if the elliptic curve E has rank r, then the L-function L(E, s) associated with it vanishes to order r at s = 1.
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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.
July 3–16 Hungary [31] 18 Lienz: 1976: July 7–21 Soviet Union [31] 19 Belgrade: 1977: July 1–13 United States [31] 20 Bucharest: 1978: July 3–10 Romania [31] 21 London: 1979: June 30 – July 9 Soviet Union [31] The 1980 IMO was due to be held in Mongolia. It was cancelled, and split into two unofficial events in Europe. [32] 22 ...
The wife of a prominent Georgia attorney has been convicted of killing her husband and burning his body. On Thursday, Dec. 5, Georgia Superior Court Judge David L. Cannon Jr. sentenced Farris, 64 ...
The top of the College Football Playoff rankings should stay the same. But there will be change in the top 10. Our prediction for how it shakes out.
The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function.It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted .
The Mayan calendar’s 819-day cycle has confounded scholars for decades, but new research shows how it matches up to planetary cycles over a 45-year span