Geodesic
Non-Archimedean Rankin $L$-functions and their functional equations
Izvestiya. Mathematics , Tome 32 (1989) no. 2, pp. 339-358

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A functional equation is established for the $S$-adic $L$-functions obtained by non-Archimedean interpolation of the special values of the convolution of two cusp forms on the upper half-plane. Bibliography: 33 titles. 
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     author = {A. A. Panchishkin},
     title = {Non-Archimedean {Rankin} $L$-functions and their functional equations},
     journal = {Izvestiya. Mathematics },
     pages = {339--358},
     publisher = {mathdoc},
     volume = {32},
     number = {2},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_32_2_a4/}
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A. A. Panchishkin. Non-Archimedean Rankin $L$-functions and their functional equations. Izvestiya. Mathematics , Tome 32 (1989) no. 2, pp. 339-358. http://geodesic.mathdoc.fr/item/IM2_1989_32_2_a4/