For a field E of characteristic different from 2 and cohomological 2-dimension one, quadratic
forms over the rational function field E (X) are studied. A characterisation in terms of …

Let denote the field of germs at of-definable unary functions. Starting from its
characterization in terms of closure conditions as given by van den Dries, Macintyre and …

1. Introduction. Since 1885 it has been known that the square-flee integershave a density of
6/n2 among all integers [1]. One may also consider thedensity of integers n such that f (n) is …

Let K be a field. We denote by K [t] the integral domain of all polynomials in an indeterminate
t with coefficients in K, and by K (t) the quotient field of K [t], ie the field of all formal rational …

Let F be a field of characteristic= 2. We define certain properties D (n), n∈{2, 4, 8, 14}, of F
as follows: F has property D (14) if each quadratic form ϕ∈ I3F of dimension 14 is similar to …

The purpose of this paper is to interpolate p-adically the values at negative integers of
abelian L-functions for totally real fields, by using the method of Hilbert modular forms. We …

Common valuations of division polynomials Page 1 Proceedings of the Royal Society of
Edinburgh, page 1 of 15 DOI:10.1017/prm.2024.7 Common valuations of division polynomials …

We are interested in determining when global fields (number fields or function fields in one
variable over finite'fields) have isomorphic WJtt rings. Baeza and Moresi (see [BM]) settled …

CANONICAL FORMS FOR GENERAL POLYNOMIALS- A NOTE ON A PAPER BY STEFANO
GUAZZONE Page 1 CANONICAL FORMS FOR GENERAL POLYNOMIALSA NOTE ON A …

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