<abstract xmlns="http://www.w3.org/1999/xhtml"><p> An analogue of the convergence part of Khintchine’s theorem (1924) for simultaneous approximation of integral polynomials at the points (x1, x2, z,w) ∈ R2 × C × Qp is proved. It is a solution of the more general problem than Sprindźuk's problem (1980) in the ring of adeles. We use a new form of the essential and nonessential domain methods in metric theory of Diophantine approximation</p></abstract>

An analogue of the convergence part of Khintchine’s theorem (1924) for simultaneous approximation of integral polynomials at the points (x1, x2, z,w) ∈ R2 × C × Qp is proved. It is a solution of the more general problem than Sprindźuk's problem (1980) in the ring of adeles. We use a new form of the essential and nonessential domain methods in metric theory of Diophantine approximation

SIMULTANEOUS DIOPHANTINE APPROXIMATION IN R2 × C × Qp

Tatra Mountains Mathematical Publications

{"article-title":"SIMULTANEOUS DIOPHANTINE APPROXIMATION IN R2 × C × Qp"}

An analogue of the convergence part of Khintchine’s theorem (1924) for simultaneous approximation of integral polynomials at the points (x1, x2, z,w) ∈ R2 × C...

SIMULTANEOUS DIOPHANTINE APPROXIMATION IN R2 × C × Qp

Published Online: Feb 18, 2014

Page range: 79 - 86

DOI: https://doi.org/10.2478/tmmp-2013-0028

Keywords
metric theory of Diophantine approximation, ring of adeles

This content is open access.

SIMULTANEOUS DIOPHANTINE APPROXIMATION IN R2 × C × Qp

Published Online: Feb 18, 2014

Page range: 79 - 86

DOI: https://doi.org/10.2478/tmmp-2013-0028

Keywordsmetric theory of Diophantine approximation, ring of adeles

This content is open access.

Keywords
metric theory of Diophantine approximation, ring of adeles