AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cyclotomic field. If we only ask for upper and lower bounds of the order of growth predicted by Kummer, then this modified Kummer conjecture is true for almost all primes
AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − ...
AbstractTwo results are obtained about P(n), the largest prime factor of an integer n. The average v...
Let K be a number field, S be the set of primes of K above 2 and T the subset of primes above 2 havi...
AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cycl...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
We show that Kummer's conjectured asymptotic estimate for the size of the first factor of the c...
AbstractLet gn denote the first factor of the class number of the nth cyclotomic field. It is proved...
Kummer's conjecture predicts the asymptotic growth of the relative class number of $\mathbb Q(\zet...
Kummer's conjecture states that the relative class number of the p-th cyclotomic field follows a str...
Kummer's conjecture states that the relative class number of the p-th cyclotomic field follows a str...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
peer reviewedFor all number fields the failure of maximality for the Kummer extensions is bounded in...
For all number fields the failure of maximality for the Kummer extensions is bounded in a very stron...
AbstractLet Nm(x) be the number of arithmetic progressions that consist of m terms, all primes and n...
AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − ...
AbstractTwo results are obtained about P(n), the largest prime factor of an integer n. The average v...
Let K be a number field, S be the set of primes of K above 2 and T the subset of primes above 2 havi...
AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cycl...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
We show that Kummer's conjectured asymptotic estimate for the size of the first factor of the c...
AbstractLet gn denote the first factor of the class number of the nth cyclotomic field. It is proved...
Kummer's conjecture predicts the asymptotic growth of the relative class number of $\mathbb Q(\zet...
Kummer's conjecture states that the relative class number of the p-th cyclotomic field follows a str...
Kummer's conjecture states that the relative class number of the p-th cyclotomic field follows a str...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
peer reviewedFor all number fields the failure of maximality for the Kummer extensions is bounded in...
For all number fields the failure of maximality for the Kummer extensions is bounded in a very stron...
AbstractLet Nm(x) be the number of arithmetic progressions that consist of m terms, all primes and n...
AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − ...
AbstractTwo results are obtained about P(n), the largest prime factor of an integer n. The average v...
Let K be a number field, S be the set of primes of K above 2 and T the subset of primes above 2 havi...
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