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http://dx.doi.org/10.4134/CKMS.c180431

A COMBINATORIAL APPROACH TO ASYMPTOTIC BEHAVIOR OF KIRILLOV MODEL FOR GL2  

Danisman, Yusuf (Department of Mathematics and Computer Science Queensborugh Community College)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.4, 2019 , pp. 1117-1133 More about this Journal
Abstract
We find the asymptotic behavior of Kirillov model for irreducible induced representations of $GL_2$ by using combinatorial methods.
Keywords
$GL_2$; induced representation; Jacquet module; Kirillov model;
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1 I. I. Piatetski-Shapiro, L-functions for $GS_{p4}$, Pacic J. Math. (1997), Special Issue, 259-275. https://doi.org/10.2140/pjm.1997.181.259   DOI
2 D. Bump, Automorphic forms and representations, Cambridge Studies in Advanced Mathematics, 55, Cambridge University Press, Cambridge, 1997. https://doi.org/10.1017/CBO9780511609572   DOI
3 W. Casselman and F. Shahidi, On irreducibility of standard modules for generic representations, Ann. Sci. Ecole Norm. Sup. (4) 31 (1998), no. 4, 561-589. https://doi.org/10.1016/S0012-9593(98)80107-9   DOI
4 Y. Danisman, Regular poles for the p-adic group $GS_{p4}$, Turkish J. Math. 38 (2014), no. 4, 587-613. https://doi.org/10.3906/mat-1306-28   DOI
5 Y. Danisman, Regular poles for the p-adic group $GS_{p4}$-II, Turkish J. Math. 39 (2015), no. 3, 369-394. https://doi.org/10.3906/mat-1404-72   DOI
6 Y. Danisman, Local factors of nongeneric supercuspidal representations of $GS_{p4}$, Math. Ann. 361 (2015), no. 3-4, 1073-1121. https://doi.org/10.1007/s00208-014-1096-5   DOI
7 Y. Danisman, L-factor of irreducible ${\chi}_1$ x ${\chi}_2$ x ${\sigma}$, Chin. Ann. Math. Ser. B 38 (2017), no. 4, 1019-1036. https://doi.org/10.1007/s11401-017-1109-2   DOI
8 P. Deligne, Les constantes des equations fonctionnelles des fonctions L, in Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), 501-597. Lecture Notes in Math., 349, Springer, Berlin, 1973.
9 D. H. Greene and D. E. Knuth, Mathematics for the Analysis of Algorithms, 2nd ed., Birkhauser, Boston, MA, 1982.
10 S. S. Kudla, The local Langlands correspondence: the non-Archimedean case, in Motives (Seattle, WA, 1991), 365-391, Proc. Sympos. Pure Math., 55, Part 2, Amer. Math. Soc., Providence, RI, 1994.
11 R. P. Langlands, On the functional equation of Artin's L function, Unpublished manuscript.