Some divisibility properties of binomial coefficients and the converse of Wolstenholme's theorem.
Some euclidean properties for real quadratic fields
Some further results concerning (j,ε) -normality in the rationals
Some generalizations of the Sₙ sequence of Shanks
Some hypergeometric congruences
Some identities for factorials and binomial coefficients
Some infinite products with interesting continued fraction expansions
We display several infinite products with interesting continued fraction expansions. Specifically, for various small values of necessarily excluding since that case cannot occur, we display infinite products in the field of formal power series whose truncations yield their every -th convergent.
Some modular results on the Euler and Bernoulli polynomials
Some more long continued fractions, I
Some More Predictable Continued Fractions.
Some more remarks on arithmetical identities
Some new evaluations of the Legendre symbol ((a+b√q)/p)
Some new families of Tasoevian and Hurwitzian continued fractions
Some Number Theoretical Products.
Some number-theoretical properties of generalized sum-of-digit functions
Some observations on Khovanskii's matrix methods for extracting roots of polynomials.
Some problems in number theory that arise from group theory.
In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Some problems of combinatorial number theory related to Bertrand's postulate.
Some properties of the Euler quotient matrix.
Some properties of the series of composed numbers.