Document Type
Article - On Campus Only
Publication Date
10-2000
Abstract
Weil indices are attached individually to local Well representations of local symplectic groups and, collectively (and in a product formula), to the adélic Weil Θ funtional. Therefore Weil indices can be attached to classical ζ functions. Root numbers, or local constants, are attached to the decomposition of L and functions into local factors. Since there is a classical integral-transform connection between ζ and ζ there must be an according conection between Weil indices and local constants. We prove that this is so for the prototypical case of the Dedekind ζ funtion, and, indeed, that this relationship is given in terms of an equation involving an integral of dimension nplus1 where n is the degree of the underlying (totally real) algebraic number field
Original Publication Citation
Berg, M. “On Local Objects Attached to Theta- and Zeta-Functions," Journal of Integral Transforms and Special functions, 10(1), 2000, 13-24.
Digital Commons @ LMU & LLS Citation
Berg, Michael C., "On Local Objects Attached to Theta- and Zeta-Functions" (2000). Mathematics, Statistics and Data Science Faculty Works. 118.
https://digitalcommons.lmu.edu/math_fac/118
