Summation of the Euler function values over numbers of the form p-1 / D. V. Goryashin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 1. P. 64-66 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 41-43].

An asymptotic formula is proved for the sum of values of the Euler function on numbers of the form p-1 not exceeding x. The order of the remainder of the asymptotics corresponds to the modern bound for zeros of the zeta function.

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