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Sep 29, 2020 at 5:48 comment added Vincent Granville @Iosef: When I get that article out, it will get between 1,000 to 100,000 page views on my blog. See dsc.news/2J80pjl for instance, with 140,000 page views and it is very related to my question. More to come on MO as a starter.
Sep 29, 2020 at 2:21 comment added Iosif Pinelis @VincentGranville : I am glad this was of help.
Sep 27, 2020 at 22:05 vote accept Vincent Granville
Sep 27, 2020 at 20:10 comment added Vincent Granville When I'll write my article, there will be a reference (link) to your answer.
Sep 27, 2020 at 19:26 comment added Vincent Granville Sorry Iosef for making the same mistake a second time. While this may not be a popular topic, your answer is very valuable and one of the most useful I received. The fact that the digit representation is unique (at least for some $b_1,b_2$) has many interesting consequences, both theoretical and in cryptography applications.
Sep 27, 2020 at 18:32 comment added Iosif Pinelis @VincentGranville : Thank you for your comment. (The first letter of my first name, pronounced Yosef, is the upper case of i.)
Sep 27, 2020 at 17:08 comment added Vincent Granville @ Losif: thank you again for your great answer. I did not mention it, but you can generalize to higher dimensions. The case discussed here is 2D. You can also work with negative $b_1,b_2$ though it requires some adjustments.
Sep 27, 2020 at 17:05 history edited Iosif Pinelis CC BY-SA 4.0
added 191 characters in body
Sep 27, 2020 at 15:05 history answered Iosif Pinelis CC BY-SA 4.0