@article{CM_1991__80_3_337_0, author = {Lichtin, Ben}, title = {On the moderate growth of generalized Dirichlet series for hypoelliptic polynomials}, journal = {Compositio Mathematica}, volume = {80}, year = {1991}, pages = {337-354}, mrnumber = {1134260}, zbl = {0759.11027}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1991__80_3_337_0} }
Lichtin, Ben. On the moderate growth of generalized Dirichlet series for hypoelliptic polynomials. Compositio Mathematica, Tome 80 (1991) pp. 337-354. http://gdmltest.u-ga.fr/item/CM_1991__80_3_337_0/
[A-S] Representations of integers by positive definite forms over arithmetic progressions, Il. J. of Math. 24 (1980), 612-618. | MR 586799 | Zbl 0428.10013
and :[Be] The analytic continuation of generalized functions with respect to a parameter, Functional Analysis and Applications 6 (1972), 26-40. | MR 320735 | Zbl 0282.46038
:[Bo] Zeta functions and Green's functions for linear partial differential operators of elliptic type with constant coefficients, Ann. of Math. 57 (1953), 32-56. | MR 54830 | Zbl 0050.08001
:[Ch-Na] Functional equations with multiple gamma factors and the average order of arithmetical functions, Ann. of Math. 76 (1962), 93-136. | MR 140491 | Zbl 0211.37901
and :[Ep] Zur Theorie Allgemeiner Zetafunctionen, Math. Annalen 56 (1903), 615-644. | JFM 34.0461.02 | MR 1511190
:[H-R] The general theory of Dirichlet's series, Hafner Publishing Co., 1972.
and :[Ho] Analysis of linear partial differential operators II, Grundlehren, vol. 257, Springer-Verlag, 1983. | MR 705278 | Zbl 0521.35002
:[La] Über die Anzahl der Gitterpunkte in gewissen Bereichen (Zweite Abhandlung), Kgl. Ges. d. Wiss. Nachrichten. Math-Phys. Klasse. (Göttingen) 2 (1915), 209-243. | JFM 45.0312.02
:[Li-1] Generalized Dirichlet series and b-functions, Comp. Math. 65 (1988), 81-120. | Numdam | MR 930148 | Zbl 0637.32002
:[Li-2] Poles of Dirichlet series and D-modules, Théorie des Nombres, Comptes rendus de la Conférence international de Théorie des Nombres tenue à I'Université Laval, 1987, pp. 579-594. | MR 1024589 | Zbl 0699.10060
:[Li-3] The asymptotics of a lattice point problem associated to finitely many polynomials I, Duke J. of Math. (to appear). | Zbl 0735.11048
:[Li-4] The asymptotics of a lattice point problem determined by a hypoelliptic polynomial (submitted to Proceedings of Conference on D-modules and Microlocal Geometry, held in Lisbon, Portugal 1990). | Zbl 0820.11061
:[Sa-1] Prolongement meromorphe des séries de Dirichlet associées á des fractions rationelles de plusieurs variables, Ann. Inst. Fourier 33 (1984), 82-123. | Numdam | MR 762695 | Zbl 0523.10026
:[Sa-2] Croissance de certaines séries de Dirichlet et applications, J. reine und ang. Math. 367 (1986), 139-154. | MR 839128 | Zbl 0575.10035
: