Victor S. Miller

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All published works

Action	Title	Year	Authors
+ PDF Chat	LLM360 K2: Building a 65B 360-Open-Source Large Language Model from Scratch	2025	Zhengzhong Liu Bowen Tan Hongyi Wang Willie Neiswanger Tianhua Tao Haonan Li Fajri Koto Yuqi Wang Suqi Sun Omkar Pangarkar
+	LLM360: Towards Fully Transparent Open-Source LLMs	2023	Zhengzhong Liu Aurick Qiao Willie Neiswanger Hongyi Wang Bowen Tan Tianhua Tao Junbo Li Yuqi Wang Suqi Sun Omkar Pangarkar
+	Counting Matrices that are Squares	2016	Victor S. Miller
+	Extensions of Billingsley's Theorem via Multi-Intensities	2014	Richard Arratia Fred Kochman Victor S. Miller
+	Computational aspects of elliptic curves and modular forms	2011	Victor S. Miller
+	Binary Non-tiles	2009	Don Coppersmith Victor S. Miller
+	Binary Non-tiles	2009	Don Coppersmith Victor S. Miller
+	Optimal hash functions for approximate closest pairs on the n-cube	2008	Daniel M. Gordon Victor S. Miller Peter Ostapenko
+ PDF Chat	The Weil Pairing, and Its Efficient Calculation	2004	Victor S. Miller
+	Primes generated by elliptic curves	2003	Graham Everest Victor S. Miller N. M. Stephens
+ PDF Chat	Computing 𝜋(𝑥): the Meissel-Lehmer method	1985	Jeffrey C. Lagarias Victor S. Miller Andrew Odlyzko

Common Coauthors

Coauthor	Papers Together
Zhengzhong Liu	2
Yuqi Wang	2
Nikhil Ranjan	2
Willie Neiswanger	2
Suqi Sun	2
Bowen Tan	2
Preslav Nakov	2
Richard E. Fan	2
Guowei He	2
Yonghao Zhuang	2
Tianhua Tao	2
Fajri Koto	2
Eric P. Xing	2
Don Coppersmith	2
Omkar Pangarkar	2
Liping Tang	2
Zhiting Hu	1
Daniel M. Gordon	1
Roberto Iriondo	1
Hongyi Wang	1
Hongyi Wang	1
Junbo Li	1
Yuanzhi Li	1
Yi Gu	1
Xuguang Ren	1
Haonan Li	1
Tim Baldwin	1
Cun Mu	1
Mingkai Deng	1
Yi Gu	1
Jeffrey C. Lagarias	1
Liqun Ma	1
Fred Kochman	1
Peter Ostapenko	1
Haonan Li	1
N. M. Stephens	1
Andrew Odlyzko	1
Renxi Wang	1
Richard Arratia	1
Zhiqiang Shen	1
Zhiqiang Shen	1
Robin Algayres	1
Aurick Qiao	1
Mark Schulze	1
Graham Everest	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	What is an Answer?	1982	Herbert S. Wilf	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2
+ PDF Chat	Lectures on elliptic curves	1992	J. W. S. Cassels	1
+ PDF Chat	On the exact number of primes less than a given limit	1959	D. H. Lehmer	1
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	1
+	A Database of Elliptic Curves — First Report	2002	William Stein Mark E. Watkins	1
+ PDF Chat	A Higher-Rank Mersenne Problem	2002	Graham Everest Peter J. Rogers Thomas Ward	1
+ PDF Chat	The Distribution of Prime Numbers	1933	A. E. Ingham	1
+	New algorithms for computing π(x)	1984	Jeffrey C. Lagarias Andrew Odlyzko	1
+	On Artin's conjecture.	1967	C. Hooley	1
+	On the Theorems of Watson and Dragonette for Ramanujan's Mock Theta Functions	1966	George E. Andrews	1
+ PDF Chat	Ueber die Bestimmung der Primzahlenmenge innerhalb gegebener Grenzen	1870	Meissel	1
+	The arithmetic of elliptic curves	1974	John Tate	1
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	1
+ PDF Chat	The Weil Pairing, and Its Efficient Calculation	2004	Victor S. Miller	1
+	On the Asymptotic Distribution of Large Prime Factors	1993	Peter Donnelly Geoffrey Grimmett	1
+ PDF Chat	Word maps have large image	2004	Michael Larsen	1
+	Diophantine Approximation on Abelian Varieties in Characteristic p	1995	José Felipe Voloch	1
+ PDF Chat	Fast method for computing the number of primes less than a given limit	1963	David C. Mapes	1
+ PDF Chat	Primes in Elliptic Divisibility Sequences	2001	Manfred Einsiedler Graham Everest Thomas Ward	1
+	Sequences of numbers generated by addition in formal groups and new primality and factorization tests	1986	D. V. Chudnovsky G. V. Chudnovsky	1
+	On the number of primes less than a given limit	1972	Jan Bohman	1
+	Minimum average distance subsets in the hamming cube	2002	André Kündgen	1
+ PDF Chat	Siegel’s theorem for complex function fields	1994	José Felipe Voloch	1
+ PDF Chat	The behavior of the Mordell-Weil group of elliptic curves	1990	Armand Brumer Francis McGuinness	1
+ PDF Chat	Ranks of elliptic curves	2002	Karl Rubin Alice Silverberg	1
+	Contributions to the geometry of hamming spaces	1977	R. Ahlswede Gyula O. H. Katona	1
+	The number of regular semisimple conjugacy classes in the finite classical groups	2013	Jason Fulman Robert M. Guralnick	1
+ PDF Chat	Berechnung der Menge von Primzahlen. welche innerhalb der ersten Hundert Millionen nat�rlicher Zahlen vorkommen	1871	Meissel	1
+ PDF Chat	The characters of the finite general linear groups	1955	J. A. Green	1
+	A New Algorithm for the Computation of Canonical Forms of Matrices over Fields	1997	Allan Steel	1
+ PDF Chat	Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements	2012	Jason Fulman Robert M. Guralnick	1
+ PDF Chat	Elliptic curves over finite fields and the computation of square roots mod 𝑝	1985	René Schoof	1
+	Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication	1987	Karl Rubin	1
+	A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves	1994	Gerhard Frey Hans-Georg Rück	1
+ PDF Chat	Average ranks of elliptic curves: Tension between data and conjecture	2007	Baur Bektemirov Barry Mazur William Stein Mark E. Watkins	1
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer	1
+	Convergence of Probability Measures	1970	James L. Snell	1
+ PDF Chat	The Poisson–Dirichlet Distribution and the Scale-Invariant Poisson Process	1999	Richard Arratia A. D. Barbour Simon Tavaré	1
+	A Simple Direct Proof of Billingsley's Theorem	2014	Richard Arratia Fred Kochman	1
+	Memoir on Elliptic Divisibility Sequences	1948	Morgan Ward	1
+	LMSST: Lectures on Elliptic Curves	1991	J. W. S. Cassels	1
+	Sur les fonctions algébriques à corps de constantes fini	1979	André Weil	1
+	Elliptic divisibility sequences	2003	Graham Everest Alf van der Poorten Igor E. Shparlinski Thomas Ward	1
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota	1
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	1
+	On the exact number of primes in the arithmetic progression 4n ± 1 and 6n ± 1.	1977		1
+	Diophantine Geometry	2000	Marc Hindry Joseph H. Silverman	1
+	Ueber Primzahlmengen	1883	Meissel	1
+	Notes on elliptic curves. I.	1963	B.J. BIRCH H. P. F. Swinnerton-Dyer	1