On the average of some arithmetical functions under a constraint on the sum of digits of squares

Abstract : Let q >= 2 be an integer and S-q(n) denote the sum of the digits in base q of the positive integer n. We look for an estimate of the average of some multiplicative arithmetical functions defined by sums over divisors d of n satisfying S-q(d(2)) r mod m for some integers r and m.
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Article dans une revue
Hiroshima Mathematical Journal, Hiroshima University, 2016, 46 (1), pp.37-54. 〈http://projecteuclid.org/euclid.hmj/1459525929〉
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Soumis le : lundi 13 mars 2017 - 12:26:54
Dernière modification le : mardi 14 mars 2017 - 01:10:15

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  • HAL Id : hal-01488043, version 1

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Karam Aloui. On the average of some arithmetical functions under a constraint on the sum of digits of squares. Hiroshima Mathematical Journal, Hiroshima University, 2016, 46 (1), pp.37-54. 〈http://projecteuclid.org/euclid.hmj/1459525929〉. 〈hal-01488043〉

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