AbstractWe give an explicit p-adic expansion of ∑∗j=1npqj/[j]r as a power series in n which generalizes the formula of Andrews (Discrete Math. 204 (1999) 15). Indeed, this is a q-analogue result due to Washington (J. Number Theory 69 (1998) 50), corresponding to the case q=1
AbstractTwo types of q-extensions of Abhyankar's inversion formula for formal power series in a sing...
In this paper, we introduce the ρ , q -analog of the p-adic factorial function. By utili...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
AbstractIn this paper, we give an explicit p-adic expansion of∑j=1(j,p)=1np(−1)jqj[j]qr as a power s...
AbstractWe give an explicitp-adic expansion of ∑npj=1, (j, p)=1j−ras a power series inn. The coeffic...
AbstractWe examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, re...
AbstractA general algorithm is considered and shown to lead to various unusual and unique series exp...
AbstractAn algorithm is introduced and shown to lead to various unique series expansions of p-adic n...
Abstract. The symmetric property Am,n = An−1,m+1 given by C. F. Woodcock [11, Proposition 6.1] is co...
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of th...
Let p be a positive integer greater than 1 and denote the p-adic expansion of n∈N by n=∑_{i≥0}α_{i}(...
AbstractLet Zp be the ring of p-adic integers. Let a and q be two units of Zp, q not a root of unity...
textMotivated by [5], we develop an analogy with a similar problem in p-adic power series over a fi...
Metric properties of some special p-adic series expansions by Arnold Knopfmacher and John Knopfmache...
In this paper we investigate lower bounds for the numbers of nonzero digits of p=adic algebraic numb...
AbstractTwo types of q-extensions of Abhyankar's inversion formula for formal power series in a sing...
In this paper, we introduce the ρ , q -analog of the p-adic factorial function. By utili...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
AbstractIn this paper, we give an explicit p-adic expansion of∑j=1(j,p)=1np(−1)jqj[j]qr as a power s...
AbstractWe give an explicitp-adic expansion of ∑npj=1, (j, p)=1j−ras a power series inn. The coeffic...
AbstractWe examine a q-analogue of Mahler expansions for continuous functions in p-adic analysis, re...
AbstractA general algorithm is considered and shown to lead to various unusual and unique series exp...
AbstractAn algorithm is introduced and shown to lead to various unique series expansions of p-adic n...
Abstract. The symmetric property Am,n = An−1,m+1 given by C. F. Woodcock [11, Proposition 6.1] is co...
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of th...
Let p be a positive integer greater than 1 and denote the p-adic expansion of n∈N by n=∑_{i≥0}α_{i}(...
AbstractLet Zp be the ring of p-adic integers. Let a and q be two units of Zp, q not a root of unity...
textMotivated by [5], we develop an analogy with a similar problem in p-adic power series over a fi...
Metric properties of some special p-adic series expansions by Arnold Knopfmacher and John Knopfmache...
In this paper we investigate lower bounds for the numbers of nonzero digits of p=adic algebraic numb...
AbstractTwo types of q-extensions of Abhyankar's inversion formula for formal power series in a sing...
In this paper, we introduce the ρ , q -analog of the p-adic factorial function. By utili...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...