A nontransformation proof of Mann's density theorem.
A Nonvanishing Theorem for the Cuspidal Cohomology of SL2 Over Imaginary Quadratic Integers.
A Non-Vanishing Theorem for Zeta Functions of GLn
A note about the sums of products of Bernoulli numbers.
A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).
The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
A note on a conjecture of Erdős-Turán.
A note on a conjecture of Jeśmanowicz
Let a, b, c be relatively prime positive integers such that . Jeśmanowicz conjectured in 1956 that for any given positive integer n the only solution of in positive integers is x=y=z=2. If n=1, then, equivalently, the equation , for integers u>v>0, has only the solution x=y=z=2. We prove that this is the case when one of u, v has no prime factor of the form 4l+1 and certain congruence and inequality conditions on u, v are satisfied.
A note on a cyclotomic diophantine equation
A note on a formula of van der Pol
A note on a multiplicative hybrid problem
A note on a one-parameter family of Catalan-like numbers.
A note on a paper by Brenner.
A note on a paper of Franklin
A note on a paper of Oppenheim and Šalát concerning series of Cantor type
A note on a problem of Hilliker and Straus.
A note on a product formula for the cubic Gauss sum
A note on a recursive formula of the Arf-Kervaire invariant.
A note on a result of Bateman and Chowla
A note on a result of Erdös, Sárkőzy and Sós
A note on a theorem of Hardy and Littlewood