Effective solution of families of Thue equations containing several parameters
Effective solution of the D(-1)-quadruple conjecture
Effective solution of two simultaneous Pell equations by the elliptic logarithm method
Effective version of Tartakowsky's Theorem
Effectively computable bounds for the solutions of certain diophantine equations
Effektive Konstruktion der algebraischen Erweiterungen von GF (p) sowie der vollständigen Kreisteilungskörper.
Efficient computation of addition chains
The aim of this paper is to present a unifying approach to the computation of short addition chains. Our method is based upon continued fraction expansions. Most of the popular methods for the generation of addition chains, such as the binary method, the factor method, etc..., fit in our framework. However, we present new and better algorithms. We give a general upper bound for the complexity of continued fraction methods, as a function of a chosen strategy, thus the total number of operations required...
Egyptian fractions with restrictions
Eichler cohomology and periods of modular forms on p-adic Schottky groups.
Eichler Commutation Relations for Theta Series of Nebentypus.
Eigenfunctions of the laplacian, quantum chaos, and computation
Eigenspaces of the ideal class group
The aim of this paper is to prove an analog of Gras’ conjecture for an abelian field and an odd prime dividing the degree assuming that the -part of group is cyclic.
Eigenvalues in the large sieve inequality, II
We explore numerically the eigenvalues of the hermitian formwhen . We improve on the existing upper bound, and produce a (conjectural) plot of the asymptotic distribution of its eigenvalues by exploiting fairly extensive computations. The main outcome is that this asymptotic density most probably exists but is not continuous with respect to the Lebesgue measure.
Eigenvalues of certain sparse matrices
Eigenvalues of Hecke Operators on SL(2,Z).
Eight cubes of primes and powers of 2
Ein Analogin zum Primzahlsatz für algebraische Funktionenkörper.
Ein Analogon zu den ganzzahligen pythagoräischen Dreiecken.
Ein Analogon zu einem Nagellschen Satze über kubische diophantische Gleichungen.
Ein Analogon zur Fundamentalgruppe einer Riemann'schen Fläche im Zahlköperfall.