AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of the logarithmic differential map, which is also called Kummer homomorphism. He found the relations between Bernoulli numbers and class numbers. We consider an analogy of this theory, so, Kummer homomorphisms, Bernoulli numbers, Kummer's criterion, and so on
AbstractLet k be an algebraic number field containing a primitive m th root of unity. An extension K...
AbstractA Kummer theory of division points over rank one Drinfeld A=Fq[T]- modules defined over glob...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
Let K = Q(_p) and let hp be its class number. Kummer showed that p divides hp if and only if p divid...
AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cycl...
AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extens...
AbstractLet Fq be a finite field with q elements where q is a power of a prime p. Also, let M be any...
Let K be a finite field or a finite extension of Qp for some prime number p. If G is a finitely gene...
AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cycl...
AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − ...
The focus of this thesis is to use Galois Theory to prove results in Number Theory. As a result, we ...
AbstractLet f(x, χ) be the Iwasawa power series for the p-adic L-function Lp(s, χ), where χ is an ev...
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
AbstractLet p be an odd prime and let η be a unit of the ring of integers of the pnth cyclotomic fie...
AbstractLet k be an algebraic number field containing a primitive m th root of unity. An extension K...
AbstractA Kummer theory of division points over rank one Drinfeld A=Fq[T]- modules defined over glob...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
AbstractKummer introduced a theory to prove the Kummer's criterion. This theory is constructed of th...
Let K = Q(_p) and let hp be its class number. Kummer showed that p divides hp if and only if p divid...
AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cycl...
AbstractLet F be the function field with constant field Fq, and let EF be the multiple Kummer extens...
AbstractLet Fq be a finite field with q elements where q is a power of a prime p. Also, let M be any...
Let K be a finite field or a finite extension of Qp for some prime number p. If G is a finitely gene...
AbstractKummer conjectured the asymptotic behavior of the first factor of the class number of a cycl...
AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − ...
The focus of this thesis is to use Galois Theory to prove results in Number Theory. As a result, we ...
AbstractLet f(x, χ) be the Iwasawa power series for the p-adic L-function Lp(s, χ), where χ is an ev...
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
AbstractLet p be an odd prime and let η be a unit of the ring of integers of the pnth cyclotomic fie...
AbstractLet k be an algebraic number field containing a primitive m th root of unity. An extension K...
AbstractA Kummer theory of division points over rank one Drinfeld A=Fq[T]- modules defined over glob...
AbstractWe show how to compute the values of h1(p), the first factor of the class number of the cycl...
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