Special Values of L-functions

Ze-Li Dou () and Qiao Zhang ()
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Ze-Li Dou: Texas Christian University, Department of Mathematics
Qiao Zhang: Texas Christian University, Department of Mathematics

Chapter Chapter 5 in Six Short Chapters on Automorphic Forms and L-functions, 2012, pp 77-98 from Springer

Abstract: Abstract In the last chapter, we studied the analytic properties of L-functions, in particular their zero distributions. If we simply regard an L-function as a complex analytic function, then its values at different points seem to be equally important or unimportant. However, since our L-functions all come from arithmetic geometric or automorphic origins, it turns out that the function values at certain points are more transparent in revealing the associated arithmetic or automorphic information, and thus deserve special attention. It is for this reason that such L-function values are called special values.

Keywords: Functional Equation; Elliptic Curve; Elliptic Curf; Class Number; Analytic Number Theory (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-28708-4_5

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