%PDF-1.4 % 853 0 obj <> endobj xref 853 87 0000000015 00000 n 0000002052 00000 n 0000003675 00000 n 0000003802 00000 n 0000003854 00000 n 0000003905 00000 n 0000003983 00000 n 0000004114 00000 n 0000004180 00000 n 0000004258 00000 n 0000004327 00000 n 0000004458 00000 n 0000004536 00000 n 0000004628 00000 n 0000004697 00000 n 0000004789 00000 n 0000004859 00000 n 0000004951 00000 n 0000005021 00000 n 0000005113 00000 n 0000005184 00000 n 0000005227 00000 n 0000005301 00000 n 0000005358 00000 n 0000005406 00000 n 0000005476 00000 n 0000005513 00000 n 0000005591 00000 n 0000005667 00000 n 0000005745 00000 n 0000005775 00000 n 0000005846 00000 n 0000005938 00000 n 0000006009 00000 n 0000006140 00000 n 0000006218 00000 n 0000006310 00000 n 0000006380 00000 n 0000006458 00000 n 0000006500 00000 n 0000006571 00000 n 0000006623 00000 n 0000006694 00000 n 0000006774 00000 n 0000006905 00000 n 0000006983 00000 n 0000007061 00000 n 0000007128 00000 n 0000007199 00000 n 0000007270 00000 n 0000007325 00000 n 0000007417 00000 n 0000007487 00000 n 0000007552 00000 n 0000007623 00000 n 0000007675 00000 n 0000007746 00000 n 0000007815 00000 n 0000007851 00000 n 0000007920 00000 n 0000007955 00000 n 0000008025 00000 n 0000008096 00000 n 0000008188 00000 n 0000008319 00000 n 0000008450 00000 n 0000008542 00000 n 0000008634 00000 n 0000008700 00000 n 0000008826 00000 n 0000009139 00000 n 0000009240 00000 n 0000009339 00000 n 0000009511 00000 n 0000010033 00000 n 0000010609 00000 n 0000011012 00000 n 0000026708 00000 n 0000026880 00000 n 0000027760 00000 n 0000028321 00000 n 0000048093 00000 n 0000048269 00000 n 0000048746 00000 n 0000049097 00000 n 0000061647 00000 n 0000002172 00000 n trailer <> startxref 0 %%EOF 854 0 obj <> /Type /Catalog /Pages 823 0 R >> endobj 939 0 obj <>stream | 9rB $ @a (b !L _H I u 8 <th z KT+ ëP:tɒ PB t *` 0C$PG D2K0dѳO@4S'PRW/`œ6[7pӷ_?8cG&TgOF;mxZ|v{ǧWwozɣ6~S.oZXS.oZXS.oZYuVwoN50ZY4f.n]k]&e׳[>mݿ=:Ëkdћ?LwzuyZozɣ6~^oN50ZY4f.^jaֵh͟=:׳[>V{L8ӫ]{;տkmݿ=:׳[>V{MǧWwozɣ6~^oZXS.oZ\8N9uVÏ.^oZ\8N9uVN9uVÏ.^oZ\8N9uVÏ.^oZYuV8bͯZY4f^rޭ+]&cӫ]{;տkcӫ]{;տkp˶=:տkcӫ]{;տkdћ?Lzuy˯gz|vzuy˯gz|v3g^oÏ.S.N9uVÏ.oZUoZ@ Au" " 8M' 3 X: ? 3 T } d 0 * + @ f 0@ h fX0 , j0 0 T X 4 A @ HJ jX"`%@9s P [ !d @% 6 Y 4c4b^ {>` endstream endobj 855 0 obj <> endobj 856 0 obj <> endobj 857 0 obj <> endobj 858 0 obj <> endobj 859 0 obj <> endobj 860 0 obj (2. Definition of the multiple Dirichlet series) endobj 861 0 obj <> endobj 862 0 obj (2.6. Normalizing factors and functional equations) endobj 863 0 obj <> endobj 864 0 obj <> endobj 865 0 obj <> endobj 866 0 obj <> endobj 867 0 obj <> endobj 868 0 obj <> endobj 869 0 obj <> endobj 870 0 obj <> endobj 871 0 obj <> endobj 872 0 obj <> endobj 873 0 obj (2.5. Weyl group actions) endobj 874 0 obj (2.4. The form of higher rank multiple Dirichlet series) endobj 875 0 obj (2.3. Kubota's rank-1 Dirichlet series) endobj 876 0 obj (2.2. Algebraic preliminaries) endobj 877 0 obj <> endobj 878 0 obj (2.1. Root systems) endobj 879 0 obj <> endobj 880 0 obj <> endobj 881 0 obj <> endobj 882 0 obj (References) endobj 883 0 obj <> endobj 884 0 obj <> endobj 885 0 obj <> endobj 886 0 obj <> endobj 887 0 obj <> endobj 888 0 obj <> endobj 889 0 obj <> endobj 890 0 obj <> endobj 891 0 obj (5.3. Proof of Lemma 20) endobj 892 0 obj <> endobj 893 0 obj (5.2. Symplectic shifted tableaux) endobj 894 0 obj <> endobj 895 0 obj (5.1. Specialization of the multiple Dirichlet series for n=1) endobj 896 0 obj <> endobj 897 0 obj <> endobj 898 0 obj <> endobj 899 0 obj (4.2. Agreement of the multiple Dirichlet series) endobj 900 0 obj <> endobj 901 0 obj <> endobj 902 0 obj (4.1. Action of W on Euclidean space) endobj 903 0 obj <> endobj 904 0 obj <> endobj 905 0 obj (3. Definition of the prime-power coefficients) endobj 906 0 obj <> endobj 907 0 obj (4. Comparison in the stable case) endobj 908 0 obj <> endobj 909 0 obj (5. Comparison with the Casselman--Shalika formula) endobj 910 0 obj (Acknowledgements) endobj 911 0 obj <> endobj 912 0 obj (1. Introduction) endobj 913 0 obj <> endobj 914 0 obj <> endobj 915 0 obj <> endobj 916 0 obj <> endobj 917 0 obj <> endobj 918 0 obj <> endobj 919 0 obj <> endobj 920 0 obj <> endobj 921 0 obj <> /ProcSet [ /PDF /Text ] /Font <> >> endobj 922 0 obj <> /ProcSet [ /PDF /ImageC ] >> >>stream 0 0 100 100 re /Sh1 sh endstream endobj 923 0 obj <> endobj 924 0 obj <> endobj 925 0 obj <> endobj 926 0 obj <> endobj 927 0 obj [ 556 556 167 333 667 278 333 333 0 333 570 0 667 444 333 278 0 0 0 0 0 0 0 0 0 0 0 0 333 278 250 333 555 500 500 1000 833 333 333 333 500 570 250 333 250 278 500 500 500 500 500 500 500 500 500 500 333 333 570 570 570 500 930 722 667 722 722 667 611 778 778 389 500 778 667 944 722 778 611 778 722 556 667 722 722 1000 722 722 667 333 278 333 581 500 333 500 556 444 556 444 333 500 556 278 333 556 278 833 556 500 556 556 444 389 333 556 500 722 500 500 444 394 220 394 520 0 0 0 333 500 500 1000 500 500 333 1000 556 333 1000 0 0 0 0 0 0 500 500 350 500 ] endobj 928 0 obj <> endobj 929 0 obj <>stream xڭctm.c۶m۶]QNG۶m۶A'}{:g1{zDYAB d`ad%Vq0usUutPtgP0!+瀣s08MZfĬ,<<