On a problem of Arnold: the average multiplicative order of a given integer

DOI10.2140/ant.2013.7.981zbMath1282.11131arXiv1108.5209OpenAlexW2075633834MaRDI QIDQ365900

Pär Kurlberg, Carl B. Pomerance

Publication date: 9 September 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5209

zbMATH Keywords

average multiplicative order

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

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A recurrent construction of irreducible polynomials of fixed degree over finite fields ⋮ On the number of distinct functional graphs of affine-linear transformations over finite fields ⋮ The average exponent of elliptic curves modulo \(p\) ⋮ On Novák numbers ⋮ The arithmetic of consecutive polynomial sequences over finite fields ⋮ Average results on the order of \(a\) modulo \(p\) ⋮ Divisibility of reduction in groups of rational numbers ⋮ Artin's primitive root conjecture and a problem of Rohrlich

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