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- W1541874401 abstract "In this chapter we examine the orders of elements of ℤ t , for any number t, and complete our study of repeating decimals. These subjects are closely related, for we showed in Chapter I-12 that the base a expansion of u/t, ({uover t}=(.a_1a_2ldots a_da_1a_2ldots a_da_1ldots)_a =(.a_1a_2ldots a_d)_a, ) is repeating: $$ {uover t}=(.a_1a_2ldots a_da_1a_2ldots a_da_1ldots)_a =(.overline{a_1a_2ldots a_d})_a, $$where d, the length of the period of repetition or, as we shall say for short, the period, is the smallest number n such that a n ≡ 1 (mod t). That is, the period of u/t in base a is the order of a mod t." @default.
- W1541874401 created "2016-06-24" @default.
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- W1541874401 date "1979-01-01" @default.
- W1541874401 modified "2023-09-27" @default.
- W1541874401 title "Repeating Decimals, II" @default.
- W1541874401 doi "https://doi.org/10.1007/978-1-4684-0065-6_30" @default.
- W1541874401 hasPublicationYear "1979" @default.
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