Zeta functions of totally ramified p-covers of the projective line

Hanfeng Li; Hui June Zhu

Rendiconti del Seminario Matematico della Università di Padova (2005)

  • Volume: 113, page 203-225
  • ISSN: 0041-8994

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Li, Hanfeng, and Zhu, Hui June. "Zeta functions of totally ramified p-covers of the projective line." Rendiconti del Seminario Matematico della Università di Padova 113 (2005): 203-225. <http://eudml.org/doc/108657>.

@article{Li2005,
author = {Li, Hanfeng, Zhu, Hui June},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {203-225},
publisher = {Seminario Matematico of the University of Padua},
title = {Zeta functions of totally ramified p-covers of the projective line},
url = {http://eudml.org/doc/108657},
volume = {113},
year = {2005},
}

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
PB - Seminario Matematico of the University of Padua
VL - 113
SP - 203
EP - 225
LA - eng
UR - http://eudml.org/doc/108657
ER -

References

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  3. [3] RICHARD CREW, Etale p-covers in characteristic p, Compositio Math., 52 (1984), pp. 31-45. Zbl0558.14009MR742696
  4. [4] NICHOLAS M. KATZ, Gauss sums, Kloosterman sums, and monodromy groups, Annals of mathematics studies, 116 (Princeton University Press, 1988). Zbl0675.14004MR955052
  5. [5] PAUL MONSKY, p-adic analysis and zeta functions, Lectures in Mathematics, Department of Mathematics, Kyoto University, Kinokuniya Book-Store Co., Ltd. (Tokyo, 1970). Zbl0256.14009MR282981
  6. [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. Zbl0548.12015MR773094
  7. [7] JASPER SCHOLTEN; HUI JUNE ZHU: Hyperelliptic curves in characteristic 2, Math. Research Letters, 17 (2002), pp. 905-917. Zbl1034.14013MR1899907
  8. [8] JEAN-PIERRE SERRE, Endomorphismes complètement continus des espaces de Banach p-adiques, Inst. Hautes Études Sci. Publ. Math., 12 (1962), pp. 69-85. Zbl0104.33601MR144186
  9. [9] DAQING WAN, Newton polygons of zeta functions and L-functions, Ann. Math., 137 (1993), pp. 247-293. Zbl0799.11058MR1207208
  10. [10] DAQING WAN, Variation of Newton polygons for L-functions of exponential sums., Asian J. Math., 8 (2004), pp. 427-474. Zbl1084.11067MR2129244
  11. [11] DAQING WAN, Rank one case of Dwork's conjecture., J. of Amer. Math. Soc., 13 (2000), pp. 853-908. Zbl1086.11031MR1775761
  12. [12] DAQING WAN, Higher rank case of Dwork's conjecture., J. of Amer. Math. Soc., 13 (2000), pp. 807-852. Zbl1086.11030MR1775738
  13. [13] HUI JUNE ZHU, p-adic variation of L functions of one variable exponential sums, I., Amer. J. Math., 125 (2003), pp. 669-690. Zbl1033.11056MR1981038
  14. [14] HUI JUNE ZHU, Asymptotic variation of L functions of one-variable exponential sums., J. Reine Angew. Math., 572 (2004), pp. 219-233. Zbl1055.11075MR2076126
  15. [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. Zbl1089.11044MR2049830

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