The probabilistic interpretation of ramanujan's constant $ e^{pisqrt{163}}$
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Some of the mathematical constants have interesting probabilistic interpretations. For example,
"$pi$". Suppose two integers are chosen at random. What is the probability that they are comprime, that is, have no common factor exceeding 1? The answer is $largefrac{6}{largepi^2}$
"Apery's constant". Given three random integers, the probability that no factor exceeding 1 divides them all is $largefrac{1}{zeta(3)}$
Does there exist probabilistic interpretation of Ramanujan's constant $large e^{largepilargesqrt{163}}$ ?
probability constants
edited Dec 13 '18 at 9:26
Klangen
1,75811334
asked Mar 16 '15 at 19:02
vitovito
1,023916
$endgroup$
add a comment |
$begingroup$
Some of the mathematical constants have interesting probabilistic interpretations. For example,
"$pi$". Suppose two integers are chosen at random. What is the probability that they are comprime, that is, have no common factor exceeding 1? The answer is $largefrac{6}{largepi^2}$
"Apery's constant". Given three random integers, the probability that no factor exceeding 1 divides them all is $largefrac{1}{zeta(3)}$
Does there exist probabilistic interpretation of Ramanujan's constant $large e^{largepilargesqrt{163}}$ ?
probability constants
edited Dec 13 '18 at 9:26
Klangen
1,75811334
asked Mar 16 '15 at 19:02
vitovito
1,023916
$endgroup$
$begingroup$
There doesn't seem to be anything even for Gelfond's constant $e^pi$, nor in its OEIS entry, so its is doubtful it will be easy to find any probabilistic interpretation for $e^{pisqrt{d}}$.
$endgroup$
– Tito Piezas III
Dec 28 '15 at 13:17
add a comment |
$begingroup$
Some of the mathematical constants have interesting probabilistic interpretations. For example,
"$pi$". Suppose two integers are chosen at random. What is the probability that they are comprime, that is, have no common factor exceeding 1? The answer is $largefrac{6}{largepi^2}$
"Apery's constant". Given three random integers, the probability that no factor exceeding 1 divides them all is $largefrac{1}{zeta(3)}$
Does there exist probabilistic interpretation of Ramanujan's constant $large e^{largepilargesqrt{163}}$ ?
probability constants
edited Dec 13 '18 at 9:26
Klangen
1,75811334
asked Mar 16 '15 at 19:02
vitovito
1,023916
$endgroup$
Some of the mathematical constants have interesting probabilistic interpretations. For example,
"$pi$". Suppose two integers are chosen at random. What is the probability that they are comprime, that is, have no common factor exceeding 1? The answer is $largefrac{6}{largepi^2}$
"Apery's constant". Given three random integers, the probability that no factor exceeding 1 divides them all is $largefrac{1}{zeta(3)}$
Does there exist probabilistic interpretation of Ramanujan's constant $large e^{largepilargesqrt{163}}$ ?
probability constants
probability constants
edited Dec 13 '18 at 9:26
Klangen
1,75811334
asked Mar 16 '15 at 19:02
vitovito
1,023916
edited Dec 13 '18 at 9:26
Klangen
1,75811334
asked Mar 16 '15 at 19:02
vitovito
1,023916
edited Dec 13 '18 at 9:26
Klangen
1,75811334
edited Dec 13 '18 at 9:26
Klangen
1,75811334
edited Dec 13 '18 at 9:26
Klangen
1,75811334
1,75811334
asked Mar 16 '15 at 19:02
vitovito
1,023916
asked Mar 16 '15 at 19:02
vitovito
1,023916
asked Mar 16 '15 at 19:02
vitovito
1,023916
1,023916
$begingroup$
There doesn't seem to be anything even for Gelfond's constant $e^pi$, nor in its OEIS entry, so its is doubtful it will be easy to find any probabilistic interpretation for $e^{pisqrt{d}}$.
$endgroup$
– Tito Piezas III
Dec 28 '15 at 13:17
add a comment |
$begingroup$
There doesn't seem to be anything even for Gelfond's constant $e^pi$, nor in its OEIS entry, so its is doubtful it will be easy to find any probabilistic interpretation for $e^{pisqrt{d}}$.
$endgroup$
– Tito Piezas III
Dec 28 '15 at 13:17
$begingroup$
There doesn't seem to be anything even for Gelfond's constant $e^pi$, nor in its OEIS entry, so its is doubtful it will be easy to find any probabilistic interpretation for $e^{pisqrt{d}}$.
$endgroup$
– Tito Piezas III
Dec 28 '15 at 13:17
$begingroup$
There doesn't seem to be anything even for Gelfond's constant $e^pi$, nor in its OEIS entry, so its is doubtful it will be easy to find any probabilistic interpretation for $e^{pisqrt{d}}$.
$endgroup$
– Tito Piezas III
Dec 28 '15 at 13:17
add a comment |
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$begingroup$
There doesn't seem to be anything even for Gelfond's constant $e^pi$, nor in its OEIS entry, so its is doubtful it will be easy to find any probabilistic interpretation for $e^{pisqrt{d}}$.
$endgroup$
– Tito Piezas III
Dec 28 '15 at 13:17