AbstractLet Zp be the ring of p-adic integers. Let a and q be two units of Zp, q not a root of unity. We define Vq to be the closure of the set {aqn|n= 0,1,2,…}. For continuous functions defined on Vq there exists an expansion which is similar to the Mahler expansion for continuous functions on Zp. This is called Jackson's formula. We now give an expression for the remainder in Jackson's formula
Hasse’s local-global principle is the idea that one can find an integer solution to anequation by usi...
Let p be a prime number, Zp the ring of the p-adic integers, Qp the field of the p-adic numbers and ...
We give a self-contained proof of the fact, discovered in [1] and proven in [2] with the methods of ...
AbstractLet Zp be the ring of p-adic integers. Let a and q be two units of Zp, q not a root of unity...
AbstractWe examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, re...
AbstractIt is well known that a continuous functionf:Zp→Qpcan be expanded by Mahler's basis: [formul...
AbstractDuring the last 10 years the classical Khintchine theorem on approximation of real numbers b...
Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, w...
AbstractIn this work, questions about interpolation and approximation of a continuous function f:Zp→...
AbstractWe show a p-adic limit formula for Gauss sums, which implies the Katz limit formula (in “Aut...
AbstractLetΛ: 0 = λ0 < λ1λ < … be an infinite sequence of positive numbers, let n ϵ N and Bp(z): = Π...
Extending work of Bell and of Bell, Ghioca, and Tucker, we prove that for a p-adic analytic self-map...
AbstractIn a recent paper (Buium et al., 2011 [3]), Buium et al. proved that f is a locally analytic...
Let p be a prime number, Zp the ring of the p-adic integers, Qp the field of the p-adic numbers. Let...
AbstractWe examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, re...
Hasse’s local-global principle is the idea that one can find an integer solution to anequation by usi...
Let p be a prime number, Zp the ring of the p-adic integers, Qp the field of the p-adic numbers and ...
We give a self-contained proof of the fact, discovered in [1] and proven in [2] with the methods of ...
AbstractLet Zp be the ring of p-adic integers. Let a and q be two units of Zp, q not a root of unity...
AbstractWe examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, re...
AbstractIt is well known that a continuous functionf:Zp→Qpcan be expanded by Mahler's basis: [formul...
AbstractDuring the last 10 years the classical Khintchine theorem on approximation of real numbers b...
Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, w...
AbstractIn this work, questions about interpolation and approximation of a continuous function f:Zp→...
AbstractWe show a p-adic limit formula for Gauss sums, which implies the Katz limit formula (in “Aut...
AbstractLetΛ: 0 = λ0 < λ1λ < … be an infinite sequence of positive numbers, let n ϵ N and Bp(z): = Π...
Extending work of Bell and of Bell, Ghioca, and Tucker, we prove that for a p-adic analytic self-map...
AbstractIn a recent paper (Buium et al., 2011 [3]), Buium et al. proved that f is a locally analytic...
Let p be a prime number, Zp the ring of the p-adic integers, Qp the field of the p-adic numbers. Let...
AbstractWe examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, re...
Hasse’s local-global principle is the idea that one can find an integer solution to anequation by usi...
Let p be a prime number, Zp the ring of the p-adic integers, Qp the field of the p-adic numbers and ...
We give a self-contained proof of the fact, discovered in [1] and proven in [2] with the methods of ...
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