Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Multiple Zeta-Functions Associated with Linear Recurrence Sequences and the Vectorial Sum Formula

  • Driss Essouabri, Kohji Matsumoto, Hirofumi Tsumura
  • Journal:
    Canadian Journal of Mathematics / Volume 63 / Issue 2 / 01 April 2011
    Published online by Cambridge University Press:
    20 November 2018, pp. 241-276
    Print publication:
    01 April 2011
    • Article
      • You have access
    • PDF
    • Export citation

  • We prove the holomorphic continuation of certain multi-variable multiple zeta-functions whose coefficients satisfy a suitable recurrence condition. In fact, we introduce more general vectorial zeta-functions and prove their holomorphic continuation. Moreover, we show a vectorial sum formula among those vectorial zeta-functions from which some generalizations of the classical sum formula can be deduced.

  • The Weil-étale topology on schemes over finite fields

  • S. Lichtenbaum
  • Journal:
    Compositio Mathematica / Volume 141 / Issue 3 / May 2005
    Published online by Cambridge University Press:
    21 April 2005, pp. 689-702
    Print publication:
    May 2005
    • Article
      • You have access
    • PDF
    • Export citation

  • We introduce an essentially new Grothendieck topology, the Weil-étale topology, on schemes over finite fields. The cohomology groups associated with this topology should behave better than the standard étale cohomology groups. In particular there is a very natural definition of an Euler characteristic and a plausible conjecture relating the Euler characteristic of Z to the value of the zeta-function at s = 0. This conjecture is proved in certain cases.