Dedekind zeta functions of certain real quadratic fields

Rongzheng Jiao, Hongwen Lu

Type: Article

Publication Date: 2006-12-31

Citations: 0

DOI: https://doi.org/10.5556/j.tkjm.37.2006.150

Abstract

Using analytic and modular transformation methods, we represent the value of the product of two Dedekind zeta functions of certain real quadratic number fields at $-3$ by Dedekind sums of high rank in this paper.

Locations

Tamkang Journal of Mathematics - View - PDF

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Works Cited by This (10)

Action	Title	Year	Authors
+	Dedekind zeta-functions and Dedekind sums	2002	Hongwen Lu Rongzheng Jiao Chungang Ji
+ PDF Chat	On Kronecker limit formula for real quadratic fields	1976	Takuro Shintani
+ PDF Chat	Some theorems on generalized Dedekind sums	1953	L. Carlitz
+	A Kronecker limit formula for real quadratic fields	1975	Don Zagier
+ PDF Chat	Theorems on generalized Dedekind sums	1952	Tom M. Apostol
+	On reciprocity formulae for inhomogeneous and homogeneous Dedekind sums	1993	R. R. Hall J. Wilson
+	Table of Integrals, Series, and Products	1980
+	ON KRONECKER LIMIT FORMULA FOR REAL QUADRATIC FIELDS (II)	1989	LU Hong-wen Zhang Mingyao
+	On evaluation of zeta functions of totally real algebraic number fields at non-positive integers	1976	Takuro Shintani
+	A Remark on Zeta Functions of Algebraic Number Fields	1981	Takuro Shintani