In the present paper, we study fields generated by Jacobi sums. In particular, we completely determine the field obtained by adjoining, to the field of rational numbers, all of the Jacobi sums “of two variables” with respect to a fixed maximal ideal of the ring of integers of a fixed prime-power cyclotomic field
We give a purity result for two kinds of exponential sums of the type ∑x∈knψ(f(x)), where k is a fin...
AbstractLet p be a prime number and k a finite extension of Q. It is conjectured that the Iwasawa in...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
In the present paper, we study fields generated by Jacobi sums. In particular, we completely determi...
AbstractFor a prime numberpand a number fieldk, letk∞/kbe the cyclotomic Zp-extension. LetA∞be the p...
AbstractR. Coleman and W. McCallum calculated ramified components of the Jacobi sum Hecke characters...
AbstractTextLet p be a prime, and q a power of p. Using Galois theory, we show that over a field K o...
AbstractThe current paper considers the question of power bases in the cyclotomic number field Q(ζ),...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
AbstractLet A be an abelian variety over a p-adic field k and At its dual. The group of k-rational p...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
AbstractWe call a quadratic extension of a cyclotomic field a quasi-cyclotomic field if it is non-ab...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
Let l be a fixed odd prime number, and p = 2qle + 1 an odd prime number with (q, 2l) = 1. For 0 ≤ n ...
Let K be a field complete with respect to a discrete valuation v of residue characteristic p. Let f(...
We give a purity result for two kinds of exponential sums of the type ∑x∈knψ(f(x)), where k is a fin...
AbstractLet p be a prime number and k a finite extension of Q. It is conjectured that the Iwasawa in...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
In the present paper, we study fields generated by Jacobi sums. In particular, we completely determi...
AbstractFor a prime numberpand a number fieldk, letk∞/kbe the cyclotomic Zp-extension. LetA∞be the p...
AbstractR. Coleman and W. McCallum calculated ramified components of the Jacobi sum Hecke characters...
AbstractTextLet p be a prime, and q a power of p. Using Galois theory, we show that over a field K o...
AbstractThe current paper considers the question of power bases in the cyclotomic number field Q(ζ),...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
AbstractLet A be an abelian variety over a p-adic field k and At its dual. The group of k-rational p...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
AbstractWe call a quadratic extension of a cyclotomic field a quasi-cyclotomic field if it is non-ab...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
Let l be a fixed odd prime number, and p = 2qle + 1 an odd prime number with (q, 2l) = 1. For 0 ≤ n ...
Let K be a field complete with respect to a discrete valuation v of residue characteristic p. Let f(...
We give a purity result for two kinds of exponential sums of the type ∑x∈knψ(f(x)), where k is a fin...
AbstractLet p be a prime number and k a finite extension of Q. It is conjectured that the Iwasawa in...
AbstractWe show that K2 Z[−6] is trival (order one). The method used can also be applied to other im...
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