Geodesic
Zeta function of the category of finite Abelian groups
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 32, Tome 449 (2016), pp. 230-234

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Zeta function attached to the category of finte Abelian groups is defined and studied. This zeta function is expressed in terms of the Riemann zeta function. 
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     author = {N. V. Proskurin},
     title = {Zeta function of the category of finite {Abelian} groups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_449_a10/}
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N. V. Proskurin. Zeta function of the category of finite Abelian groups. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 32, Tome 449 (2016), pp. 230-234. http://geodesic.mathdoc.fr/item/ZNSL_2016_449_a10/