Zeta functions of totally ramified p-covers of the projective line
Rendiconti del Seminario Matematico della Università di Padova, Tome 113 (2005), pp. 203-225.
@article{RSMUP_2005__113__203_0,
     author = {Li, Hanfeng and Zhu, Hui June},
     title = {Zeta functions of totally ramified p-covers of the projective line},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {203--225},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {113},
     year = {2005},
     mrnumber = {2168987},
     zbl = {1162.11356},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2005__113__203_0/}
}
TY  - JOUR
AU  - Li, Hanfeng
AU  - Zhu, Hui June
TI  - Zeta functions of totally ramified p-covers of the projective line
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2005
SP  - 203
EP  - 225
VL  - 113
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_2005__113__203_0/
LA  - en
ID  - RSMUP_2005__113__203_0
ER  - 
%0 Journal Article
%A Li, Hanfeng
%A Zhu, Hui June
%T Zeta functions of totally ramified p-covers of the projective line
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2005
%P 203-225
%V 113
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_2005__113__203_0/
%G en
%F RSMUP_2005__113__203_0
Li, Hanfeng; Zhu, Hui June. Zeta functions of totally ramified p-covers of the projective line. Rendiconti del Seminario Matematico della Università di Padova, Tome 113 (2005), pp. 203-225. http://www.numdam.org/item/RSMUP_2005__113__203_0/

[1] Pierre Berthelot, Cohomologie rigide et théorie de Dwork: le ca des sommes exponentielles, in Cohomologie p-adique, Société Mathématique de France, Astérisque, 119-120 (1984), pp. 17-49. | Numdam | MR | Zbl

[2] S. Bosch - U. Guntzer - R. Remment, Non-Archimedean analysis, Grundlehren der Mathematischen Wissenschaften, Vol. 261 (Springer-Verlag, Berlin, 1984). | MR | Zbl

[3] Richard Crew, Etale p-covers in characteristic p, Compositio Math., 52 (1984), pp. 31-45. | Numdam | MR | Zbl

[4] Nicholas M. Katz, Gauss sums, Kloosterman sums, and monodromy groups, Annals of mathematics studies, 116 (Princeton University Press, 1988). | MR | Zbl

[5] Paul Monsky, p-adic analysis and zeta functions, Lectures in Mathematics, Department of Mathematics, Kyoto University, Kinokuniya Book-Store Co., Ltd. (Tokyo, 1970). | MR | Zbl

[6] Philippe Robba, Index of p-adic differential operators III. Application to twisted exponential sums, in Cohomologie p-adique, Société Mathématique de France, Astérisque, 119-120 (1984), pp. 191-266. | Numdam | MR | Zbl

[7] Jasper Scholten; Hui June Zhu: Hyperelliptic curves in characteristic 2, Math. Research Letters, 17 (2002), pp. 905-917. | MR | Zbl

[8] Jean-Pierre Serre, Endomorphismes complètement continus des espaces de Banach p-adiques, Inst. Hautes Études Sci. Publ. Math., 12 (1962), pp. 69-85. | Numdam | MR | Zbl

[9] Daqing Wan, Newton polygons of zeta functions and L-functions, Ann. Math., 137 (1993), pp. 247-293. | MR | Zbl

[10] Daqing Wan, Variation of Newton polygons for L-functions of exponential sums., Asian J. Math., 8 (2004), pp. 427-474. | MR | Zbl

[11] Daqing Wan, Rank one case of Dwork's conjecture., J. of Amer. Math. Soc., 13 (2000), pp. 853-908. | MR | Zbl

[12] Daqing Wan, Higher rank case of Dwork's conjecture., J. of Amer. Math. Soc., 13 (2000), pp. 807-852. | MR | Zbl

[13] Hui June Zhu, p-adic variation of L functions of one variable exponential sums, I., Amer. J. Math., 125 (2003), pp. 669-690. | MR | Zbl

[14] Hui June Zhu, Asymptotic variation of L functions of one-variable exponential sums., J. Reine Angew. Math., 572 (2004), pp. 219-233. | MR | Zbl

[15] Hui June Zhu, L functions of exponential sums over one dimensional affinoids: Newton over Hodge., Inter. Math. Res. Notices., Vol 2004, no. 30 (2004), pp. 1529-1550. | MR | Zbl