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Minkowski bound of $229$-th cyclotomic field
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If $K = mathbbQzeta_229$, the $229$-th cyclotomic field, Wwat is a good approximation for the bound $n$ such that every class in the ideal class group of $K$ contains an integral ideal of norm $p < n$. Without any calculation necessary, prove that $n < 2^(229-1)/2$.
elementary-number-theory class-field-theory cyclotomic-fields
asked Jul 28 at 16:46
J. Linne
670314
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If $K = mathbbQzeta_229$, the $229$-th cyclotomic field, Wwat is a good approximation for the bound $n$ such that every class in the ideal class group of $K$ contains an integral ideal of norm $p < n$. Without any calculation necessary, prove that $n < 2^(229-1)/2$.
elementary-number-theory class-field-theory cyclotomic-fields
asked Jul 28 at 16:46
J. Linne
670314
Why not to use Minkowski's bound?
– DonAntonio
Jul 28 at 16:54
I am always confused as to weather the $sqrt D$ part is in there (I.e. the square root of field discriminant) Wikipedia says it's part of the formula for the bound, planet math says it's not, different formulas from other sources etc.
– J. Linne
Jul 28 at 16:58
Look up the word "book" on the internet.
– franz lemmermeyer
Jul 29 at 6:59
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
If $K = mathbbQzeta_229$, the $229$-th cyclotomic field, Wwat is a good approximation for the bound $n$ such that every class in the ideal class group of $K$ contains an integral ideal of norm $p < n$. Without any calculation necessary, prove that $n < 2^(229-1)/2$.
elementary-number-theory class-field-theory cyclotomic-fields
asked Jul 28 at 16:46
J. Linne
670314
If $K = mathbbQzeta_229$, the $229$-th cyclotomic field, Wwat is a good approximation for the bound $n$ such that every class in the ideal class group of $K$ contains an integral ideal of norm $p < n$. Without any calculation necessary, prove that $n < 2^(229-1)/2$.
elementary-number-theory class-field-theory cyclotomic-fields
asked Jul 28 at 16:46
J. Linne
670314
asked Jul 28 at 16:46
J. Linne
670314
asked Jul 28 at 16:46
J. Linne
670314
asked Jul 28 at 16:46
J. Linne
670314
670314
Why not to use Minkowski's bound?
– DonAntonio
Jul 28 at 16:54
I am always confused as to weather the $sqrt D$ part is in there (I.e. the square root of field discriminant) Wikipedia says it's part of the formula for the bound, planet math says it's not, different formulas from other sources etc.
– J. Linne
Jul 28 at 16:58
Look up the word "book" on the internet.
– franz lemmermeyer
Jul 29 at 6:59
add a comment |Â
Why not to use Minkowski's bound?
– DonAntonio
Jul 28 at 16:54
I am always confused as to weather the $sqrt D$ part is in there (I.e. the square root of field discriminant) Wikipedia says it's part of the formula for the bound, planet math says it's not, different formulas from other sources etc.
– J. Linne
Jul 28 at 16:58
Look up the word "book" on the internet.
– franz lemmermeyer
Jul 29 at 6:59
Why not to use Minkowski's bound?
– DonAntonio
Jul 28 at 16:54
Why not to use Minkowski's bound?
– DonAntonio
Jul 28 at 16:54
I am always confused as to weather the $sqrt D$ part is in there (I.e. the square root of field discriminant) Wikipedia says it's part of the formula for the bound, planet math says it's not, different formulas from other sources etc.
– J. Linne
Jul 28 at 16:58
I am always confused as to weather the $sqrt D$ part is in there (I.e. the square root of field discriminant) Wikipedia says it's part of the formula for the bound, planet math says it's not, different formulas from other sources etc.
– J. Linne
Jul 28 at 16:58
Look up the word "book" on the internet.
– franz lemmermeyer
Jul 29 at 6:59
Look up the word "book" on the internet.
– franz lemmermeyer
Jul 29 at 6:59
add a comment |Â
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Why not to use Minkowski's bound?
– DonAntonio
Jul 28 at 16:54
I am always confused as to weather the $sqrt D$ part is in there (I.e. the square root of field discriminant) Wikipedia says it's part of the formula for the bound, planet math says it's not, different formulas from other sources etc.
– J. Linne
Jul 28 at 16:58
Look up the word "book" on the internet.
– franz lemmermeyer
Jul 29 at 6:59