On the approximation of real numbers by roots of integers
Kurt Mahler, G. Szekeres (1967)
Acta Arithmetica
Similarity:
Kurt Mahler, G. Szekeres (1967)
Acta Arithmetica
Similarity:
Feliks Przytycki (1989)
Studia Mathematica
Similarity:
Jeffrey Vaaler (1981)
Acta Arithmetica
Similarity:
B. Maurey, H. Rosenthal (1977)
Studia Mathematica
Similarity:
Chang-Pao Chen (1994)
Studia Mathematica
Similarity:
We prove that if as max(|j|,|k|) → ∞, and , then f(x,y)ϕ(x)ψ(y) ∈ L¹(T²) and as min(m,n) → ∞, where f(x,y) is the limiting function of the rectangular partial sums , (ϕ,θ) and (ψ,ϑ) are pairs of type I. A generalization of this result concerning L¹-convergence is also established. Extensions of these results to double series of orthogonal functions are also considered. These results can be extended to n-dimensional case. The aforementioned results generalize work of Balashov [1],...
Piotr Zarzycki (1989)
Acta Arithmetica
Similarity:
S. Segal (1964)
Acta Arithmetica
Similarity:
Eugene Levine, Joseph O'Sullivan (1977)
Acta Arithmetica
Similarity:
Calixto Calderón (1973)
Studia Mathematica
Similarity:
Z. Ciesielski, P. Simon, P. Sjölin (1977)
Studia Mathematica
Similarity: