Geodesic
Zeta function of a system of forms
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 156-162

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It is proved that the zeta function in $m$ complex variables of a system of positive-definite forms of degree $\delta\geqslant2$ with real coefficients extends meromorphically to the entire space $\mathbf C^m$. 
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     author = {E. P. Golubeva and O. M. Fomenko},
     title = {Zeta function of a system of forms},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {156--162},
     publisher = {mathdoc},
     volume = {67},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a6/}
}
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E. P. Golubeva; O. M. Fomenko. Zeta function of a system of forms. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 156-162. http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a6/