EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 541 – 560 of 1970

A note on free pro- $p$ -extensions of algebraic number fields

Masakazu Yamagishi (1993)

Journal de théorie des nombres de Bordeaux

For an algebraic number field $k$ and a prime $p$ , define the number $ρ$ to be the maximal number $d$ such that there exists a Galois extension of $k$ whose Galois group is a free pro- $p$ -group of rank $d$ . The Leopoldt conjecture implies $1 \leq ρ \leq r_{2} + 1$ , ( $r_{2}$ denotes the number of complex places of $k$ ). Some examples of $k$ and $p$ with $ρ = r_{2} + 1$ have been known so far. In this note, the invariant $ρ$ is studied, and among other things some examples with $ρ < r_{2} + 1$ are given.

A note on free pro-p-extensions of algebraic number fields.

Masakazu Yamagishi (1996)

Manuscripta mathematica

A note on Friedlander's paper "On the class numbers of certain quadratic extensions"

A. Mallik (1979)

Acta Arithmetica

A note on functional equations of the $p$ -adic polylogarithms

Zdzisław Wojtkowiak (1991)

Bulletin de la Société Mathématique de France

A note on generalized mobius ...-functions

G. Victor Albis (1968)

Revista colombiana de matematicas

A note on global units and local units of function fields

Su Hu, Yan Li (2009)

Acta Arithmetica

A note on Greenberg's cojecture for real abelian number fields.

Manabu Ozaki, Hisao Taya (1995)

Manuscripta mathematica

A Note on heights in certain infinite extensions of $Q$

Enrico Bombieri, Umberto Zannier (2001)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We study the behaviour of the absolute Weil height of algebraic numbers in certain infinite extensions of $Q$ . In particular, we obtain a Northcott type property for infinite abelian extensions of finite exponent and also a Bogomolov type property for certain fields which are a $p$ -adic analog of totally real fields. Moreover, we obtain a non-archimedean analog of a uniform distribution theorem of Bilu in the archimedean case.

A note on integral clock triangles.

J. MacLeod, Allan (2008)

Annales Mathematicae et Informaticae

A note on integral points on elliptic curves

Mark Watkins (2006)

Journal de Théorie des Nombres de Bordeaux

We investigate a problem considered by Zagier and Elkies, of finding large integral points on elliptic curves. By writing down a generic polynomial solution and equating coefficients, we are led to suspect four extremal cases that still might have nondegenerate solutions. Each of these cases gives rise to a polynomial system of equations, the first being solved by Elkies in 1988 using the resultant methods of Macsyma, with there being a unique rational nondegenerate solution. For the second case...

A note on involutory automorphisms of $C$ and the use of algebraically independent numbers for the construction of diagonable matrices

Ladislav Skula (2004)

Acta Mathematica Universitatis Ostraviensis

Currently displaying 541 – 560 of 1970

Previous Page 28 Next

Displaying 541 – 560 of 1970

A note on free pro- $p$ -extensions of algebraic number fields

A note on free pro-p-extensions of algebraic number fields.

A note on Friedlander's paper "On the class numbers of certain quadratic extensions"

A note on functional equations of the $p$ -adic polylogarithms

A note on generalized mobius ...-functions

A note on global units and local units of function fields

A note on Greenberg's cojecture for real abelian number fields.

A Note on heights in certain infinite extensions of $Q$

A note on integral clock triangles.

A note on integral points on elliptic curves

A note on involutory automorphisms of $C$ and the use of algebraically independent numbers for the construction of diagonable matrices

A note on irregularities in distribution of sequences of integers

A note on Jeśmanowicz' conjecture

A note on Jeśmanowicz' conjecture concerning primitive Pythagorean triplets

A note on Krawtchouk polynomials and Riordan arrays.

A note on lacunary lonely runners. WITHDRAWN.

A note on large gaps between consecutive prime numbers

A note on large gaps between prime numbers

A note on linear preserves of ternary cubic forms

A note on linear recurrent Mahler numbers.

Currently displaying 541 – 560 of 1970