Singer-Zyklen in klassischen Gruppen.
Skew-Symmetric Vanishing Lattices and Their Monodromy Groups.
Skew-Symmetric Vanishing Lattices and Their Monodromy Groups. II.
Small zeros of hermitian forms over a quaternion algebra
Small zeros of quadratic forms over algebraic function fields
Solution to a Problem of Lubelski and an Improvement of a Theorem of His
The paper consists of two parts, both related to problems of Lubelski, but unrelated otherwise. Theorem 1 enumerates for a = 1,2 the finitely many positive integers D such that every odd positive integer L that divides x² +Dy² for (x,y) = 1 has the property that either L or is properly represented by x²+Dy². Theorem 2 asserts the following property of finite extensions k of ℚ : if a polynomial f ∈ k[x] for almost all prime ideals of k has modulo at least v linear factors, counting multiplicities,...
Some algebraic aspects of quadratic forms over fields of characteristic two.
Some applications of decomposable form equations to resultant equations
1. Introduction. The purpose of this paper is to establish some general finiteness results (cf. Theorems 1 and 2) for resultant equations over an arbitrary finitely generated integral domain R over ℤ. Our Theorems 1 and 2 improve and generalize some results of Wirsing [25], Fujiwara [6], Schmidt [21] and Schlickewei [17] concerning resultant equations over ℤ. Theorems 1 and 2 are consequences of a finiteness result (cf. Theorem 3) on decomposable form equations over R. Some applications of Theorems...
Some aspects of Gaussian composition
Some estimates for diagonal equations over p-adic fields
Some Examples of Weber-Hecke Ring Class Field Theory.
Some local-global principles in the arithmetic of algebraic groups over real function fields.
Some new results on composition of quadratic forms.
Some problems about the ternary quadratic form m₁² + m₂² + m₃²
Some Remarks on Invariant Means.
Sommes de carrés
Sommes de Gauss attachées aux caractères quadratiques: une conjecture de Pierre Conner.
Sopra una proprietà delle forme quadratiche binarie primitive di determinante (mod ).
Spaces of orderings of fields under finite extensions.
Special values of multiple gamma functions
We give a Chowla-Selberg type formula that connects a generalization of the eta-function to with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.