Displaying similar documents to “Algebraic Superconnections, S U ( 2 ∣ 1 ) and Electroweak Interactions”

Algebraic independence of the values at algebraic points of a class of functions considered by Mahler

N. Ch. Wass

Similarity:

This thesis is concerned with the problem of determining a measure of algebraic independence for a particular m-tuple θ₁,..., θ m of complex numbers. Specifically, let K be a number field and let f₁(z),..., f m ( z ) be elements of K[[z]] algebraically independent over K(z) satisfying equations of the form(*) f j ( z b ) = ∑ i = 1 m f i ( z ) a i j ( z ) + b j ( z ) (j = i,...,m)for b ≥ 2, a i j ( z ) , b j ( z ) in K(z). Suppose finally that α ∈ K is such that 0 < |α| < 1, the f j ( z ) converge at z = α and the a i j ( z ) , b j ( z ) are analytic at z = α , α b , α b ² , . . . Then the θ i = f i ( α ) are algebraically independent...

Multiplicatively dependent triples of Tribonacci numbers

Carlos Alexis Ruiz Gómez, Florian Luca (2015)

Acta Arithmetica

Similarity:

We consider the Tribonacci sequence T : = T n n ≥ 0 given by T₀ = 0, T₁ = T₂ = 1 and T n + 3 = T n + 2 + T n + 1 + T n for all n ≥ 0, and we find all triples of Tribonacci numbers which are multiplicatively dependent.

On C * -spaces

P. Srivastava, K. K. Azad (1981)

Matematički Vesnik

Similarity:

Diagonalization and rationalization of algebraic Laurent series

Boris Adamczewski, Jason P. Bell (2013)

Annales scientifiques de l'École Normale Supérieure

Similarity:

We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime p the reduction modulo p of the diagonal of a multivariate algebraic power series f with integer coefficients is an algebraic power series of degree at most p A and height at most A p A , where A is an effective constant that only...