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math.NT2020★ 2 cited
Lucas' theorem modulo
Eric Rowland
Lucas' theorem describes how to reduce a binomial coefficient modulo by breaking off the least significant digits of and in base . We characterize the…
math.NT2020★ 1 cited
Lucas congruences for the Apéry numbers modulo
Eric Rowland, Reem Yassawi, Christian Krattenthaler
The sequence of Apéry numbers can be interpolated to by an entire function. We give a formula for the Taylor coefficients of this function, centered…