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- W4221017309 abstract "Let $$tin {mathbb {N}}_+$$ be given. In this article, we are interested in characterizing those $$din {mathbb {N}}_+$$ such that the congruence $$begin{aligned}frac{1}{t}sum _{s=0}^{t-1}{n+dzeta _t^satopwithdelims ()d-1}equiv {natopwithdelims ()d-1}pmod {d}end{aligned}$$ is true for each $$nin {mathbb {Z}}$$ . In particular, assuming that d has a prime divisor greater than t, we show that the above congruence holds for each $$nin {mathbb {Z}}$$ if and only if $$d=p^r$$ , where p is a prime number greater than t and $$rin {1,ldots ,t}$$ ." @default.
- W4221017309 created "2022-04-03" @default.
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- W4221017309 date "2022-03-27" @default.
- W4221017309 modified "2023-09-27" @default.
- W4221017309 title "Binomial Coefficients, Roots of Unity and Powers of Prime Numbers" @default.
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- W4221017309 doi "https://doi.org/10.1007/s40840-022-01266-4" @default.
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