AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − 1)2 and let fe(x) denote the polynomial with leading coefficient 1 whose roots are 2 cos (2mπq) with 1 ≤ m ≤ e. Then all prime divisors p of the polynomial fe(x) have the form p ≡ ± 1 (rmmod q), except for p = q
One particularly elegant example of an application of modern algebraic number theory to a classical ...
This paper rephrases Kummer’s proof of many cases of Fermat’s Last Theorem in contemporary notation ...
In this work, we study the class group of the number field $\Q(N^{1/p})$ where $p$ is an odd prime n...
AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − ...
AbstractLet p be an odd prime and suppose that for some a, b, c ϵ Z\pZ we have that ap + bp + cp = 0...
AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extens...
AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cycl...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
AbstractLet p be an odd prime and let η be a unit of the ring of integers of the pnth cyclotomic fie...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractWe present a simplified proof of a theorem of Skolem. This result describes the factorizatio...
AbstractLet Fq be a finite field with q elements where q is a power of a prime p. Also, let M be any...
AbstractConditions for divisibility of class numbers of algebraic number fields by prime powers are ...
AbstractLet p be an odd prime and suppose that for some a, b, c ϵ Z\pZ we have that ap + bp + cp = 0...
One particularly elegant example of an application of modern algebraic number theory to a classical ...
This paper rephrases Kummer’s proof of many cases of Fermat’s Last Theorem in contemporary notation ...
In this work, we study the class group of the number field $\Q(N^{1/p})$ where $p$ is an odd prime n...
AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − ...
AbstractLet p be an odd prime and suppose that for some a, b, c ϵ Z\pZ we have that ap + bp + cp = 0...
AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extens...
AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cycl...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
AbstractLet p be an odd prime and let η be a unit of the ring of integers of the pnth cyclotomic fie...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractWe present a simplified proof of a theorem of Skolem. This result describes the factorizatio...
AbstractLet Fq be a finite field with q elements where q is a power of a prime p. Also, let M be any...
AbstractConditions for divisibility of class numbers of algebraic number fields by prime powers are ...
AbstractLet p be an odd prime and suppose that for some a, b, c ϵ Z\pZ we have that ap + bp + cp = 0...
One particularly elegant example of an application of modern algebraic number theory to a classical ...
This paper rephrases Kummer’s proof of many cases of Fermat’s Last Theorem in contemporary notation ...
In this work, we study the class group of the number field $\Q(N^{1/p})$ where $p$ is an odd prime n...
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