Ads
related to: heegner numbers in order printable free pdf one pagepdfguru.com has been visited by 1M+ users in the past month
pdffiller.com has been visited by 1M+ users in the past month
Search results
Results From The WOW.Com Content Network
Ramanujan's constant is the transcendental number [5], which is an almost integer: [6] = … +. This number was discovered in 1859 by the mathematician Charles Hermite. [7] In a 1975 April Fool article in Scientific American magazine, [8] "Mathematical Games" columnist Martin Gardner made the hoax claim that the number was in fact an integer, and that the Indian mathematical genius Srinivasa ...
A Heegner number is a number n such that Q(√ −n) is an imaginary quadratic field of class number 1. Topics referred to by the same term This disambiguation page lists articles associated with the title Heegner .
Let Q denote the set of rational numbers, and let d be a square-free integer. The field Q(√ d) is a quadratic extension of Q. The class number of Q(√ d) is one if and only if the ring of integers of Q(√ d) is a principal ideal domain. The Baker–Heegner–Stark theorem can then be stated as follows:
Kurt Heegner (German: [ˈheːɡnɐ]; 16 December 1893 – 2 February 1965) was a German private scholar from Berlin, who specialized in radio engineering and mathematics. He is famous for his mathematical discoveries in number theory and, in particular, the Stark–Heegner theorem .
For every square-free positive integer n pick an n-th root ζ n of 1, with ζ mn = ζ m ζ n for m,n coprime. Then the cyclotomic Euler system is the set of numbers α n = 1 − ζ n.
19 is the sixth Heegner number. [50] 67 and 163, respectively the 19th and 38th prime numbers, are the two largest Heegner numbers, of nine total. The sum of the first six Heegner numbers 1, 2, 3, 7, 11, and 19 sum to the seventh member and fourteenth prime number, 43. All of these numbers are prime, aside from the unit.