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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 ...
In number theory, the Heegner theorem [1] establishes the complete list of the quadratic imaginary number fields whose rings of integers are principal ideal domains. It solves a special case of Gauss's class number problem of determining the number of imaginary quadratic fields that have a given fixed class number .
Kurt Heegner was a German mathematician; Heegner points are special points on elliptic curves; The Stark–Heegner theorem identifies the imaginary quadratic fields of class number 1. A Heegner number is a number n such that Q(√ −n) is an imaginary quadratic field of class number 1.
That is because what enters the analytic formula for the class number is not h, the class number, on its own — but h log ε, where ε is a fundamental unit. This extra factor is hard to control. It may well be the case that class number 1 for real quadratic fields occurs infinitely often.
The number e π √ 163 is known as Ramanujan's constant. Its decimal expansion is given by: e π √ 163 = 262 537 412 640 768 743.999 999 999 999 250 072 59... (sequence A060295 in the OEIS) which suprisingly turns out to be very close to the integer 640320 3 + 744: This is an application of Heegner numbers, where 163 is the
Ed Pegg Jr. noted that the length d equals (), which is very close to 7 (7.0000000857 ca.) [1] In recreational mathematics, an almost integer (or near-integer) is any number that is not an integer but is very close to one.
"Sam Darnold picked the right time to have a career year." In case you missed it, I’m quoting what I wrote before the Minnesota Vikings got run, 27-9, by the Los Angeles Rams in Monday night’s ...
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 .