On the product formula in Galois groups.
On the product of balanced sequences
The product w = u ⊗ v of two sequences u and v is a naturally defined sequence on the alphabet of pairs of symbols. Here, we study when the product w of two balanced sequences u,v is balanced too. In the case u and v are binary sequences, we prove, as a main result, that, if such a product w is balanced and deg(w) = 4, then w is an ultimately periodic sequence of a very special form. The case of arbitrary alphabets is approached in the last section. The partial results obtained and the problems...
On the product of balanced sequences
The product w = u ⊗ v of two sequences u and v is a naturally defined sequence on the alphabet of pairs of symbols. Here, we study when the product w of two balanced sequences u,v is balanced too. In the case u and v are binary sequences, we prove, as a main result, that, if such a product w is balanced and deg(w) = 4, then w is an ultimately periodic sequence of a very special form. The case of arbitrary alphabets is approached in the last section. The partial results obtained and the problems...
On the Product of Consecutive Elements of an Arithmetic Progression.
On the product of divisors of a positive integer
On the product of divisors of and of .
On the product of heights of algebraic numbers summing to real numbers
On the product of the conjugates outside the unit circle of an algebraic integer
On the product of the conjugates outside the unit circle of an algebraic number
On the product of three homogeneous linear forms
On the products of Hecke L-functions of holomorphic cusp forms
On the projective class group of cyclic groups of prime power order.
On the proof of Humbert's volume formula.
On the proof of the prime number theorem
On the properties of invariants of forms.
On the properties of oscillation and almost periodicity of certain convolutions
On the property .
On the pure Jacobi sums
On the Pythagoras number of a real irreducible algebroid curve.
On the Pythagoras number of orders in totally real number fields.