On the error term and zeros of the Dedekind zeta function

Biplab Paul, Ayyadurai Sankaranarayanan

Type: Article

Publication Date: 2020-03-16

Citations: 6

DOI: https://doi.org/10.1016/j.jnt.2020.02.006

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Journal of Number Theory - View

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+ PDF Chat	Two-parameter identities for divisor sums in algebraic number fields	2021	Bruce C. Berndt Martino Fassina Sun Kim Alexandru Zaharescu
+	A Note on the Zeros of the Dedekind Zeta Functions	2024	J. Pintz
+	SUM OF VALUES OF THE IDEAL CLASS ZETA-FUNCTION OVER NONTRIVIAL ZEROS OF THE RIEMANN ZETA-FUNCTION	2023	Saeree Wananiyakul Jörn Steuding Nithi Rungtanapirom
+ PDF Chat	On a general divisor problem related to a certain Dedekind zeta-function over a specific sequence of positive integers	2024	Anubhav Sharma Ayyadurai Sankaranarayanan
+ PDF Chat	A Density Theorem for Dedekind Zeta Functions	2023	J. Pintz
+	$ \Omega $-result for the index of composition of an integral ideal	2021	Jing-Song Huang Wenguang Zhai Deyu Zhang

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	On the density of the zeros of the Dedekind Zeta-function	1977	D. R. Heath‐Brown
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington
+	Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale	1949	Edmund Landau
+	The distribution and average order of the coefficients of Dedekind ζ functions	1983	James Lee Hafner
+	Hilbert's Inequality	1974	Hugh L. Montgomery R. C. Vaughan
+	Exponential Sums and Lattice Points III	2003	M. N. Huxley
+	On the distribution of ideals in cubic number fields	1988	Wolfgang Müller
+	On the Distribution of Integer Ideals in Algebraic Number Fields	1993	Werner Georg
+	On the distribution of integral ideals and Hecke Grössencharacters	2010	Huixue Lao
+ PDF Chat	On the mean value of the error term for a class of arithmetical functions	1964	K. Chandrasekharan Raghavan Narasimhan