A common generating function for Catalan numbers and other integer sequences.
A comparison of dispersion and Markov constants
A comparison of elliptic units in certain prime power conductor cases
The aim of this paper is to compare two modules of elliptic units, which arise in the study of elliptic curves E over quadratic imaginary fields K with complex multiplication by , good ordinary reduction above a split prime p and prime power conductor (over K). One of the modules is a special case of those modules of elliptic units studied by K. Rubin in his paper [Invent. Math. 103 (1991)] on the two-variable main conjecture (without p-adic L-functions), and the other module is a smaller one,...
A comparison of Selmer groups.
A comparison of some weighted sieves
A complete annotated bibliography of work related to Sidon sequences.
A complete categorization of when generalized Tribonacci sequences can be avoided by additive partitions.
A complete generalization of Yokoi's p-invariants
A complete parametriziation of cyclic field extensions of 2-power degree.
A complete Vinogradov 3-primes theorem under the Riemann hypothesis.
A computation of the Witt index for rational quadratic forms.
A computer algorithm for finding new euclidean number fields
This article describes a computer algorithm which exhibits a sufficient condition for a number field to be euclidean for the norm. In the survey [3] p 405, Franz Lemmermeyer pointed out that 743 number fields where known (march 1994) to be euclidean (the first one, , discovered by Euclid, three centuries B.C.!). In the first months of 1997, we found more than 1200 new euclidean number fields of degree 4, 5 and 6 with a computer algorithm involving classical lattice properties of the embedding of...
A concept of Bernoulli numbers in algebraic function fields.
A Concept of Bernoulli Numbers in Algebraic Function Fields (II).
A condition for the rationality of certain elliptic modular forms over primes dividing the level
Let be a weight holomorphic automorphic form with respect to . We prove a sufficient condition for the integrality of over primes dividing . This condition is expressed in terms of the values at particular curves of the forms obtained by iterated application of the weight Maaß operator to and extends previous results of the Author.
A conditional density theorem for the zeros of the Riemann zeta-function
A conditional result on Goldbach numbers in short intervals
A congruence for products of binomial coefficients modulo a composite.
A congruence for the coefficients in a series for π
A congruence for the index of a unit of a real abelian number field