On the behavior of Igusa,'s local zeta function in towers of field extension
Groupe de travail d'analyse ultramétrique, Volume 12 (1984-1985) no. 2, Talk no. 25, 10 p.
@article{GAU_1984-1985__12_2_A6_0,
     author = {Lichtin, Ben},
     title = {On the behavior of {Igusa,'s} local zeta function in towers of field extension},
     journal = {Groupe de travail d'analyse ultram\'etrique},
     note = {talk:25},
     pages = {1--10},
     publisher = {Secr\'etariat math\'ematique},
     volume = {12},
     number = {2},
     year = {1984-1985},
     zbl = {0606.14023},
     language = {en},
     url = {http://archive.numdam.org/item/GAU_1984-1985__12_2_A6_0/}
}
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Lichtin, Ben. On the behavior of Igusa,'s local zeta function in towers of field extension. Groupe de travail d'analyse ultramétrique, Volume 12 (1984-1985) no. 2, Talk no. 25, 10 p. http://archive.numdam.org/item/GAU_1984-1985__12_2_A6_0/

[1] Atiyah, M., "Resolution of Singularities and Divisions of Distributions", Communication Pure & Applied Math. 23 (1970), p.145-150. | MR | Zbl

[2] Bernstein, J.N. & Gel'Fand, S., "Meromorophic Property of the functions Pλ," Functional Analysis & Applications, 6 (1972), p.68-69. | Zbl

[3] Deligne, P., "Le formalisme du cycles evanescente" SGA 7, exp. 13, Springer Lecture Notes, vol. 340. | Zbl

[4] Dwork, B., "On the Rationality of the Zeta function of an algebraic variety", American J. of Math. 82 (1960), p.631-648. | MR | Zbl

[5] Denef, J., "Rationality of the Poincare Series associated to the p-adic points on a variety", Inv. Math. 77 (1984), p.1-23. | MR | Zbl

[6] Denef, J., "Poles of Complex Powers and Newton Polyhedra" (preprint).

[7] Gel'Fand, I. & Shilov, G., Les Distributions, Dunod, Paris (1972).

[8] Igusa, J.I., "Complex Powers and Asymptotic Expansions", J. Reine Angew. Math. 268/269, p.110-130 (1974). ibid 278/279, p.307-321 (1975). | Zbl

[9] Igusa, J.I., "Complex Powers of Irreducible Algebroid Curves " (preprint) | MR

[10] Lichtin, B., "Upper semi-continuity Properties of Poles of |f|s" (to appear in Japan-U.S. Conf. on Complex Singularities 1984). | Zbl

[11] Lichtin, B. & Meuser, D., "Poles of a Local Zeta Function and Newton Polygons" (to appear in Compositio Math.). | Numdam | MR | Zbl

[12] Meuser, D., "On the poles of a local zeta function for curves", Inv. Math. 73 (1983), p.445-465. | MR | Zbl

[13] Meuser, D., "Meromorphic Continuation of a Zeta Function of Weil and Igusa Type" (to appear in Inv. Math.) | MR | Zbl