Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of $L$-Functions

Megumi Asada, Ryan Chen, Eva Fourakis, Yujin Kim, Andrew Kwon, Jared Duker Lichtman, Blake Mackall, Steven J. Miller, Eric Winsor, Karl Winsor

Type: Preprint

Publication Date: 2018-08-18

Citations: 3

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Locations

arXiv (Cornell University) - View

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Works Cited by This (23)

Action	Title	Year	Authors
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen
+	Multiplicative Number Theory	1980	H. Davenport
+	Gauss and Jacobi sums	1998	Bruce C. Berndt Kenneth S. Williams Ronald J. Evans
+	L-Functions and Random Matrices	2001	J. Brian Conrey
+	Variation in the number of points on elliptic curves and applications to excess rank	2005	Steven J. Miller
+	On the rank of an elliptic surface	1998	Michael Rosen Joseph H. Silverman
+	ℚ(T)-rank of elliptic curves and certain limit coming from the local points	1997	Koh-ichi Nagao
+ PDF Chat	Applications of the<i>L</i>-functions ratios conjectures	2007	J. Brian Conrey N. C. Snaith
+ PDF Chat	The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI	2010	Eduardo Duéñez Duc Khiem Huynh Jon P Keating Steven J. Miller N. C. Snaith
+ PDF Chat	One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries	2004	Steven J. Miller