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The Erdős–Turán conjecture on additive bases of natural numbers. A conjecture on quickly growing integer sequences with rational reciprocal series. A conjecture with Norman Oler [2] on circle packing in an equilateral triangle with a number of circles one less than a triangular number. The minimum overlap problem to estimate the limit of M(n).
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.
Conjecture Field Comments Eponym(s) Cites 1/3–2/3 conjecture: order theory: n/a: 70 abc conjecture: number theory: ⇔Granville–Langevin conjecture, Vojta's conjecture in dimension 1 ⇒Erdős–Woods conjecture, Fermat–Catalan conjecture Formulated by David Masser and Joseph Oesterlé. [1] Proof claimed in 2012 by Shinichi Mochizuki: n/a ...
In 2003, a Cine Capri-style auditorium was built as part of the Scottsdale 101 theater complex in Phoenix. The 568-seat auditorium had the largest regular movie theater screen in Arizona at over 70 feet (21 m) wide by 30 feet (9.1 m) high, and a 40,000 watt / 150 speaker Digital sound system. The Scottsdale 101 includes a Cine Capri museum ...
This is a list of notable theorems.Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures
[7] Jeffrey Lagarias stated in 2010 that the Collatz conjecture "is an extraordinarily difficult problem, completely out of reach of present day mathematics". [8] However, though the Collatz conjecture itself remains open, efforts to solve the problem have led to new techniques and many partial results. [8] [9]
In a 2009 NBC/Wall Street Journal poll, 8 in 10 Americans said they were concerned about the federal deficit and growing national debt. But a separate poll that same year asked, "How many millions ...
Cube (1997) – Six people, including Leaven, a math student, awake in a deathtrap based on mathematical principles. Fermat's Room (2007) – Three mathematicians and one inventor are invited to a house under the premise of solving a great enigma and told to use pseudonyms based on famous historical mathematicians. At the house, they are ...