Ke Kummerovým pracím o Fermatově větě
Kennzeichnung von Mengen mit einer additiven Minimaleigenschaft.
Kettenbrüche als Summen ebensolcher
K-finite Whittaker functions are of finite order one
We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.
K-groups and ideal class groups of number fields.
Khinchin type condition for translation surfaces and asymptotic laws for the Teichmüller flow
We study a diophantine property for translation surfaces, defined in terms of saddle connections and inspired by classical Khinchin condition. We prove that the same dichotomy holds as in Khinchin theorem, then we deduce a sharp estimate on how fast the typical Teichmüller geodesic wanders towards infinity in the moduli space of translation surfaces. Finally we prove some stronger result in genus one.
Khinchin's theorem in k dimensions with prime numerator and denominator
Khintchine types of translated coordinate hyperplanes
There has been great interest in developing a theory of "Khintchine types" for manifolds embedded in Euclidean space, and considerable progress has been made for curved manifolds. We treat the case of translates of coordinate hyperplanes, decidedly flat manifolds. In our main results, we fix the value of one coordinate in Euclidean space and describe the set of points in the fiber over that fixed coordinate that are rationally approximable at a given rate. We identify translated coordinate hyperplanes...
Khintchine-type theorems on manifolds
Kida's formula and congruences.
Klein polyhedra and lattices with positive norm minima
A Klein polyhedron is defined as the convex hull of nonzero lattice points inside an orthant of . It generalizes the concept of continued fraction. In this paper facets and edge stars of vertices of a Klein polyhedron are considered as multidimensional analogs of partial quotients and quantitative characteristics of these “partial quotients”, so called determinants, are defined. It is proved that the facets of all the Klein polyhedra generated by a lattice have uniformly bounded determinants...
Kleine Nullstellen homogener quadratischer Gleichungen.
Kleine Nullstellen quadratischer Formen in Funktionenkörpern.
Kleine Pisot-Vijayaraghavan-Zahlen und die Fibonacci-Folge.
Kloosterman identities over a quadratic extension II
Kloosterman integrals and base change for GL (2).
Kloosterman Sums and Fourier Coefficients of Cusp Forms.
Kloosterman sums and primitive elements in Galois fields
Kloosterman sums and the p-torsion of certain Jacobians.
Kloosterman sums as algebraic integers.