Equivalence of a Number-Theoretical Problem with a Problem from the Graph Theory
Equivalences between elliptic curves and real quadratic congruence function fields
In 1994, the well-known Diffie-Hellman key exchange protocol was for the first time implemented in a non-group based setting. Here, the underlying key space was the set of reduced principal ideals of a real quadratic number field. This set does not possess a group structure, but instead exhibits a so-called infrastructure. More recently, the scheme was extended to real quadratic congruence function fields, whose set of reduced principal ideals has a similar infrastructure. As always, the security...
Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini
Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves.
Equivariant Euler characteristics and sheaf resolvents
For certain tame abelian covers of arithmetic surfaces we obtain formulas, involving a quadratic form derived from intersection numbers, for the equivariant Euler characteristics of both the canonical sheaf and also its square root. These formulas allow us to carry out explicit calculations; in particular, we are able to exhibit examples where these two Euler characteristics and that of the structure sheaf are all different and non-trivial. Our results are obtained by using resolvent techniques...
Equivariant Form of the Deuring-Safarevic Formula for Hasse-Witt Invariants.
Equivariant K-theory and representations of Hecke algebras. II.
Equivariant Weierstrass preparation and values of -functions at negative integers.
Erdös-Turán Type Discrepancy Bounds.
Erdős-Turán type inequalities.
Ergänzung einer Untersuchung von Dirichlet
Ergänzung zur Arbeit "Quadratische Formen über affinen Algebren und ein algebraischer Beweis des Satzes von Borsuk-Ulam".
Ergänzungen zu meiner Arbeit: ,,Die Homologiegruppen der Mannigfaltigkeit, die aus den linearen k-Räumen auf einer nicht-ausgearteten 2k-Quadrik besteht"
Ergodic and Diophantine properties of algorithms of Selmer type
Ergodic averages with deterministic weights
We study the convergence of the ergodic averages where is a bounded sequence and a strictly increasing sequence of integers such that for some . Moreover we give explicit such sequences and and we investigate in particular the case where is a -multiplicative sequence.
Ergodic properties of generalized Lüroth series
Ergodic Theory for Complex Continued Fractions.
Ergodic Universality Theorems for the Riemann Zeta-Function and other -Functions
We prove a new type of universality theorem for the Riemann zeta-function and other -functions (which are universal in the sense of Voronin’s theorem). In contrast to previous universality theorems for the zeta-function or its various generalizations, here the approximating shifts are taken from the orbit of an ergodic transformation on the real line.
Ergodicity of ℤ² extensions of irrational rotations
Let = [0,1) be the additive group of real numbers modulo 1, α ∈ be an irrational number and t ∈ . We study ergodicity of skew product extensions T : × ℤ² → × ℤ², .
Ergodicity of a class of cylinder flows related to irregularities of distribution