Some remarks on the local class field theory of Serre and Hazewinkel
We give a new approach for the local class field theory of Serre and Hazewinkel. We also discuss two-dimensional local class field theory in this framework.
Some remarks on the Lüroth expansion
Some remarks on the moduli space of principally polarized abelian varieties with level -structure
Some remarks on the S-unit equation in function fields
Some Remarks on Triple L-Functions.
Some remarks on two generalizations of Euler's theorem
Some Remarks on Vinogradov's Mean Value Theorem and Tarry's Problem.
Some results and problems in number theory
Some results concerning certain periodic continued fractions
Some results concerning exponential divisors.
Some results concerning the nearest integer continued fraction expansion of ...D.
Some results for generalized harmonic numbers.
Some results for sums of the inverses of binomial coefficients.
Some results from the tables of irregularity index of a prime
Some results in additive number theory I: The critical pair theory
Some results in number theory, I
Some results on algebraic independence. (Quelques résultats d'indépendance algébrique.)
Some results on diophantine approximation
Some results on local fields
Let K be a local field with finite residue field of characteristic p. This paper is devoted to the study of the maximal abelian extension of K of exponent p−1 and its maximal p-abelian extension, especially the description of their Galois groups in solvable case. Then some properties of local fields in general case are studied too.
Some results on Oppenheim's "Factorisatio Numerorum" function