Using the Minkowski Bound
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Can someone please explain why the second sentence in this example is true.
number-theory ideals
asked Dec 29 '18 at 20:00
pullofthemoonpullofthemoon
685
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add a comment |
0
$begingroup$
Can someone please explain why the second sentence in this example is true.
number-theory ideals
asked Dec 29 '18 at 20:00
pullofthemoonpullofthemoon
685
$endgroup$
$begingroup$
The Minkowski bound gives you a bound on the norm of an ideal in the ring of integers of $K$ and since this is less than $3$ and $operatorname{Cl}_K$ is generated by the classes of prime ideals, you only need to check primes lying over $2$.
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– ÍgjøgnumMeg
Dec 29 '18 at 20:15
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Do you mean the sentence beginning with the word “Here”?
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– Lubin
Dec 29 '18 at 22:03
add a comment |
0
0
0
$begingroup$
Can someone please explain why the second sentence in this example is true.
number-theory ideals
asked Dec 29 '18 at 20:00
pullofthemoonpullofthemoon
685
$endgroup$
Can someone please explain why the second sentence in this example is true.
number-theory ideals
number-theory ideals
asked Dec 29 '18 at 20:00
pullofthemoonpullofthemoon
685
asked Dec 29 '18 at 20:00
pullofthemoonpullofthemoon
685
asked Dec 29 '18 at 20:00
pullofthemoonpullofthemoon
685
asked Dec 29 '18 at 20:00
pullofthemoonpullofthemoon
685
asked Dec 29 '18 at 20:00
pullofthemoonpullofthemoon
685
685
$begingroup$
The Minkowski bound gives you a bound on the norm of an ideal in the ring of integers of $K$ and since this is less than $3$ and $operatorname{Cl}_K$ is generated by the classes of prime ideals, you only need to check primes lying over $2$.
$endgroup$
– ÍgjøgnumMeg
Dec 29 '18 at 20:15
$begingroup$
Do you mean the sentence beginning with the word “Here”?
$endgroup$
– Lubin
Dec 29 '18 at 22:03
add a comment |
$begingroup$
The Minkowski bound gives you a bound on the norm of an ideal in the ring of integers of $K$ and since this is less than $3$ and $operatorname{Cl}_K$ is generated by the classes of prime ideals, you only need to check primes lying over $2$.
$endgroup$
– ÍgjøgnumMeg
Dec 29 '18 at 20:15
$begingroup$
Do you mean the sentence beginning with the word “Here”?
$endgroup$
– Lubin
Dec 29 '18 at 22:03
$begingroup$
The Minkowski bound gives you a bound on the norm of an ideal in the ring of integers of $K$ and since this is less than $3$ and $operatorname{Cl}_K$ is generated by the classes of prime ideals, you only need to check primes lying over $2$.
$endgroup$
– ÍgjøgnumMeg
Dec 29 '18 at 20:15
$begingroup$
The Minkowski bound gives you a bound on the norm of an ideal in the ring of integers of $K$ and since this is less than $3$ and $operatorname{Cl}_K$ is generated by the classes of prime ideals, you only need to check primes lying over $2$.
$endgroup$
– ÍgjøgnumMeg
Dec 29 '18 at 20:15
$begingroup$
Do you mean the sentence beginning with the word “Here”?
$endgroup$
– Lubin
Dec 29 '18 at 22:03
$begingroup$
Do you mean the sentence beginning with the word “Here”?
$endgroup$
– Lubin
Dec 29 '18 at 22:03
add a comment |
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$begingroup$
The Minkowski bound gives you a bound on the norm of an ideal in the ring of integers of $K$ and since this is less than $3$ and $operatorname{Cl}_K$ is generated by the classes of prime ideals, you only need to check primes lying over $2$.
$endgroup$
– ÍgjøgnumMeg
Dec 29 '18 at 20:15
$begingroup$
Do you mean the sentence beginning with the word “Here”?
$endgroup$
– Lubin
Dec 29 '18 at 22:03