An effective p-adic analogue of a theorem of Thue II. The greatest prime factor of a binary form
An extension of Sophie Germain's method to a wide class of diophantine equations.
An identity Ramanujan probably missed
"Ramanujan's 6-10-8 identity" inspired Hirschhorn to formulate his "3-7-5 identity". Now, we give a new "6-14-10 identity" which we suppose Ramanujan would have discovered but missed to mention in his notebooks.
An note on the Tarry-Escott problem.
Applications of Jacobi's symbol to Lehmer's numbers
Arithmetic of elliptic curves and diophantine equations
We give a survey of methods used to connect the study of ternary diophantine equations to modern techniques coming from the theory of modular forms.
Arithmetic of Pell surfaces
Arithmetische Studien über den "letzten" Fermatschen Satz, welcher aussagt, dass die Gleichung an = bn + cn für n > 2 in ganzen Zahlen nicht auflösbar ist.
Arithmetische Studien üeber den "letzten" Fermatschen Satz, welcher aussagt, dass die Gleichung an=bn+cn für n>2 in ganzen Zahlen nicht auflösbar ist [Book]
Artin's conjecture for septic and unidecic forms
Asymptotic aspects of the Diophantine equation
Asymptotic growth of Markoff-Hurwitz numbers