| dc.contributor.author | Sharma, Divyum | |
| dc.date.accessioned | 2025-02-06T04:11:37Z | |
| dc.date.available | 2025-02-06T04:11:37Z | |
| dc.date.issued | 2023 | |
| dc.identifier.uri | https://arxiv.org/abs/2311.17348 | |
| dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17237 | |
| dc.description.abstract | Let (α,Nα) and (β,Nβ) be two canonical number systems for an imaginary quadratic number field K such that α and β are multiplicatively independent. We provide an effective lower bound for the sum of the number of non-zero digits in the α-adic and β-adic expansions of an algebraic integer γ∈OK which is an increasing function of |γ|. This is an analogue of an earlier result due to Stewart on integer representations | en_US |
| dc.language.iso | en | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Number theory | en_US |
| dc.title | On the representation of an imaginary quadratic integer in two different bases | en_US |
| dc.type | Preprint | en_US |
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