Geodesic
Non-Archimedean Rankin convolutions of unbounded growth
Sbornik. Mathematics, Tome 72 (1992) no. 1, pp. 151-161 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Non-Archimedean Rankin convolutions are constructed in the supersingular case. The construction is based on a refined technique of $h$-admissible measures, for which the non-Archimedean Mellin transform gives analytic functions of unbounded growth. 
@article{SM_1992_72_1_a8,
     author = {My Vinh Quang},
     title = {Non-Archimedean {Rankin} convolutions of unbounded growth},
     journal = {Sbornik. Mathematics},
     pages = {151--161},
     year = {1992},
     volume = {72},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_72_1_a8/}
}
TY  - JOUR
AU  - My Vinh Quang
TI  - Non-Archimedean Rankin convolutions of unbounded growth
JO  - Sbornik. Mathematics
PY  - 1992
SP  - 151
EP  - 161
VL  - 72
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1992_72_1_a8/
LA  - en
ID  - SM_1992_72_1_a8
ER  - 
%0 Journal Article
%A My Vinh Quang
%T Non-Archimedean Rankin convolutions of unbounded growth
%J Sbornik. Mathematics
%D 1992
%P 151-161
%V 72
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1992_72_1_a8/
%G en
%F SM_1992_72_1_a8
My Vinh Quang. Non-Archimedean Rankin convolutions of unbounded growth. Sbornik. Mathematics, Tome 72 (1992) no. 1, pp. 151-161. http://geodesic.mathdoc.fr/item/SM_1992_72_1_a8/

[1] Vishik M. M., “Nearkhimedovy mery, svyazannye s ryadami Dirikhle”, Matem. sb., 99 (141) (1976), 248–260 | Zbl

[2] Manin Yu. I., “Periody parabolicheskikh form i $p$-adicheskie ryady Gekke”, Matem. sb., 92 (134) (1973), 376–401 | MR

[3] Panchishkin A. A., Nearkhimedovy avtomorfnye dzeta-funktsii, Izd-vo MGU, M., 1988 | Zbl

[4] Panchishkin A. A., “Nearkhimedovy $L$-funktsii Rankina i ikh funktsionalnye uravneniya”, Izv. AN SSSR. Ser. matem., 52:2 (1988), 336–354 | MR | Zbl

[5] Amice Y., Velu J., Distributions $p$-adique associees aux series de Hecke, Journees arithmetiques, Bordeaux, 1974 | MR

[6] Rankin R. A., The scalar product of modular forms, Proc. London Math. Soc. (3), 2, 1952 | MR | Zbl