Geodesic
Partial degrees of fast-growing functions
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2022), pp. 53-68

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The article introduces the notion of fast-growing function and considers partial degrees of fast-growing functions. Partial degrees can be either total or non-total. The notion of e-fast-growing function is introduced, it is proved that partial degrees of fast-growing functions are not total and decomposable.
Keywords: partial degrees, quasi-minimal partial degrees, fast-growing functions, e-fast-growing functions. 
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     author = {B. Ya. Solon},
     title = {Partial degrees of fast-growing functions},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {53--68},
     publisher = {mathdoc},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2022_1_a4/}
}
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B. Ya. Solon. Partial degrees of fast-growing functions. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2022), pp. 53-68. http://geodesic.mathdoc.fr/item/VTPMK_2022_1_a4/