Zeros of Dirichlet L-functions near the Real Axis and Chebyshev's Bias

Carter Bays, Kevin Ford, Richard H. Hudson, Michael Rubinstein

Type: Article

Publication Date: 2001-03-01

Citations: 22

DOI: https://doi.org/10.1006/jnth.2000.2601

View Publication

Locations

Journal of Number Theory - View

Similar Works

Action	Title	Year	Authors
+	On Small Zeros of Dirichlet L-Functions	1975	P. Weinberger
+ PDF Chat	A note on the real zeros of Dirichlet's L-functions	1959	P. Túrán
+	Zeros of L-functions	2012	Ze-Li Dou Qiao Zhang
+	Marco's repulsion phenomenon between zeros of L-functions	2013	Kevin Ford Alexandru Zaharescu
+	Zeros of L-functions (chapter 9)	1994	Hugh L. Montgomery
+ PDF Chat	Real zeros of quadratic Dirichlet L-functions	2002	J. Brian Conrey K. Soundararajan
+	On the zeros of Dirichlet L-functions	2013	Guilherme França André LeClair
+	Small populations of zeros of L-functions	2013	J. Brian Conrey Henryk Iwaniec
+	Zeros of derivatives of dirichlet L-functions	1996	C. Y. Yıldırım
+	On the Zeros of the Dirichlet L-Functions	1945	Carl Ludwig Siegel
+	Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet L-functions	2020	Di Liu Alexandru Zaharescu
+	Distinct zeros of Dirichlet $L$-functions	2012	Xiaosheng Wu
+	Distribution of zeros of L-functions	1971	Hugh L. Montgomery
+ PDF Chat	On small zeros of Dirichlet 𝐿-functions	1975	P. Weinberger
+	Critical zeros of class group L-functions	2017	Pedro Henrique Pontes
+ PDF Chat	Zeros of Holomorphic Functions	2025
+ PDF Chat	On the zeros of L-functions	1965	E. Fogels
+ PDF Chat	On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis	1999	Ali E. Özlük C. Snyder
+ PDF Chat	Low-lying zeros of quadratic Dirichlet -functions: lower order terms for extended support	2017	Daniel Fiorilli James Parks Anders Södergren
+ PDF Chat	Low lying zeros of families of L-functions	2000	Henryk Iwaniec Wenzhi Luo Peter Sarnak

Works That Cite This (21)

Action	Title	Year	Authors
+ PDF Chat	Highly biased prime number races	2014	Daniel Fiorilli
+	Irrégularités dans la distribution des nombres premiers et des suites plus générales dans les progressions arithmétiques	2011	Daniel Fiorilli
+ PDF Chat	Inequities in the Shanks–Rényi prime number race: An asymptotic formula for the densities	2012	Daniel Fiorilli Greg Martin
+ PDF Chat	Surpassing the ratios conjecture in the 1-level density of Dirichlet<i>L</i>-functions	2015	Daniel Fiorilli Steven J. Miller
+	Low-lying zeros of Dirichlet L-functions	2011	Daniel Fiorilli Steven J. Miller
+ PDF Chat	Sign changes in πq,a(x)-πq,b(x)	2001	Kevin Ford Richard H. Hudson
+ PDF Chat	A new bound for the smallest $x$ with $\pi(x) > \mathrm{li}(x)$	1999	Carter Bays Richard H. Hudson
+	LIMITING DISTRIBUTIONS AND ZEROS OF ARTIN L-FUNCTIONS	2000	Nathan Ng
+ PDF Chat	Zeros of the constant term in the Chowla–Selberg formula	2006	Haseo Ki
+	Prime Numbers	2004	Richard K. Guy

Works Cited by This (36)

Action	Title	Year	Authors
+ PDF Chat	The imaginary quadratic fields of class number 4	1992	Steven Arno
+	Multiplicative Number Theory	1980	H. Davenport
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau
+	Evidence for a spectral interpretation of the zeros of L-functions	1998	Michael Rubinstein
+ PDF Chat	Imaginary quadratic fields with small odd class number	1998	Steven Arno Michael Robinson Ferrell S. Wheeler
+ PDF Chat	A new bound for the smallest $x$ with $\pi(x) > \mathrm{li}(x)$	1999	Carter Bays Richard H. Hudson
+ PDF Chat	Details of the first region of integers 𝑥 with 𝜋_{3,2}(𝑥)<𝜋_{3,1}(𝑥)	1978	Carter Bays Richard H. Hudson
+ PDF Chat	Ueber die Bestimmung der Primzahlenmenge innerhalb gegebener Grenzen	1870	Meissel
+ PDF Chat	Computing 𝜋(𝑥): the Meissel-Lehmer method	1985	Jeffrey C. Lagarias Victor S. Miller Andrew Odlyzko
+ PDF Chat	Zeroes of Dirichlet $L$-functions and irregularities in the distribution of primes	1999	Carter Bays Richard H. Hudson