Andrew R. Booker

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All published works

Action	Title	Year	Authors
+	Unconditional computation of the class groups of real quadratic fields	2024	Ce Bian Andrew R. Booker Austin Docherty Michael J. Jacobson Andrei Seymour-Howell
+ PDF Chat	An extension of Venkatesh’s converse theorem to the Selberg class	2023	Andrew R. Booker Michael Farmer Min Lee
+	Murmurations of modular forms in the weight aspect	2023	Jonathan Bober Andrew R. Booker Min Lee David Lowry-Duda
+ PDF Chat	Primitive elements with prescribed traces	2022	Andrew R. Booker Stephen D. Cohen Nicol Leong Tim Trudgian
+ PDF Chat	PRIMITIVE ELEMENT PAIRS WITH A PRESCRIBED TRACE IN THE CUBIC EXTENSION OF A FINITE FIELD	2022	Andrew R. Booker Stephen D. Cohen Nicol Leong Tim Trudgian
+	Primitive element pairs with a prescribed trace in the cubic extension of a finite field	2022	Andrew R. Booker Stephen D. Cohen Nicol Leong Tim Trudgian
+	An extension of Venkatesh's converse theorem to the Selberg class	2022	Andrew R. Booker Michael Farmer Min Lee
+ PDF Chat	Wolstenholme and Vandiver primes	2021	Andrew R. Booker Shehzad Hathi Michael J. Mossinghoff Timothy S. Trudgian
+	On a question of Mordell	2021	Andrew R. Booker Andrew V. Sutherland
+	On a Recursively Defined Sequence Involving the Prime Counting Function	2021	Altug Alkan Andrew R. Booker Florian Luca
+ PDF Chat	Computing Classical Modular Forms	2021	Alex J. Best Jonathan Bober Andrew R. Booker Edgar Costa J. E. Cremona Maarten Derickx Min Lee David Lowry-Duda David Roe Andrew V. Sutherland
+	Primitive elements with prescribed traces	2021	Andrew R. Booker Stephen D. Cohen Nicol Leong Tim Trudgian
+	Wolstenholme and Vandiver primes	2021	Andrew R. Booker Shehzad Hathi Michael J. Mossinghoff Timothy S. Trudgian
+ PDF Chat	Twist‐minimal trace formulas and the Selberg eigenvalue conjecture	2020	Andrew R. Booker Min Lee Andreas Strömbergsson
+	On a recursively defined sequence involving the prime counting function	2020	Altug Alkan Andrew R. Booker Florian Luca
+	On a recursively defined sequence involving the prime counting function	2020	Altug Alkan Andrew R. Booker Florian Luca
+	Test vectors for Rankin–Selberg L-functions	2019	Andrew R. Booker M. Krishnamurthy Min Lee
+ PDF Chat	Cracking the problem with 33	2019	Andrew R. Booker
+ PDF Chat	Simple zeros of automorphic -functions	2019	Andrew R. Booker Peter J. Cho Myoungil Kim
+	Cracking the problem with 33	2019	Andrew R. Booker
+	Test vectors for Rankin-Selberg $L$-functions	2019	Andrew R. Booker M. Krishnamurthy Min Lee
+ PDF Chat	A CONVERSE THEOREM WITHOUT ROOT NUMBERS	2019	Andrew R. Booker
+ PDF Chat	QUANTITATIVE ESTIMATES FOR SIMPLE ZEROS OF ‐FUNCTIONS	2019	Andrew R. Booker Micah B. Milinovich Nathan Ng
+	Cracking the problem with 33	2019	Andrew R. Booker
+	Subconvexity for modular form L-functions in the t aspect	2018	Andrew R. Booker Micah B. Milinovich Nathan Ng
+ PDF Chat	A note on Maass forms of icosahedral type	2018	Andrew R. Booker
+ PDF Chat	Turing’s Method for the Selberg Zeta-Function	2018	Andrew R. Booker David J. Platt
+	Primitive values of quadratic polynomials in a finite field	2018	Andrew R. Booker Stephen D. Cohen Nicole Sutherland Tim Trudgian
+	Primitive values of quadratic polynomials in a finite field	2018	Andrew R. Booker Stephen D. Cohen Nicole Sutherland Tim Trudgian
+	New integral representations for Rankin-Selberg L-functions	2018	Andrew R. Booker Muthu Krishnamurthy Min Lee
+	Primitive values of quadratic polynomials in a finite field	2018	Andrew R. Booker Stephen D. Cohen Nicole Sutherland Tim Trudgian
+	A note on Maass forms of icosahedral type	2017	Andrew R. Booker
+ PDF Chat	Rapid computation of L-functions attached to Maass forms	2017	Andrew R. Booker Holger Then
+ PDF Chat	A conjectural extension of Hecke’s converse theorem	2017	Sandro Bettin Jonathan Bober Andrew R. Booker Brian Conrey Min Lee Giuseppe Molteni Thomas Oliver David J. Platt Raphael S. Steiner
+ PDF Chat	Finite connected components of the aliquot graph	2017	Andrew R. Booker
+	A note on Maass forms of icosahedral type	2017	Andrew R. Booker
+	Squarefree smooth numbers and Euclidean prime generators	2016	Andrew R. Booker Carl Pomerance
+	Finite connected components of the aliquot graph	2016	Andrew R. Booker
+ PDF Chat	The Selberg trace formula as a Dirichlet series	2016	Andrew R. Booker Min Lee
+	Squarefree smooth numbers and Euclidean prime generators	2016	Andrew R. Booker Carl Pomerance
+	A variant of the Euclid-Mullin sequence containing every prime	2016	Andrew R. Booker
+ PDF Chat	Square-free values of reducible polynomials	2016	Andrew R. Booker Tim Browing
+	A variant of the Euclid-Mullin sequence containing every prime	2016	Andrew R. Booker
+	A converse theorem for GL(n)	2016	Andrew R. Booker M. Krishnamurthy
+ PDF Chat	Simple zeros of degree 2 $L$-functions	2016	Andrew R. Booker
+	The Euclid–Mullin graph	2016	Andrew R. Booker Sean A. Irvine
+	Turing and the Primes	2016	Andrew R. Booker
+ PDF Chat	A database of genus-2 curves over the rational numbers	2016	Andrew R. Booker Jeroen Sijsling Andrew V. Sutherland John Voight Dan Yasaki
+	Finite connected components of the aliquot graph	2016	Andrew R. Booker
+	A variant of the Euclid-Mullin sequence containing every prime	2016	Andrew R. Booker
+	Squarefree smooth numbers and Euclidean prime generators	2016	Andrew R. Booker Carl Pomerance
+	Square-free values of reducible polynomials	2015	Andrew R. Booker T. D. Browning
+ PDF Chat	Corrigendum: Further refinements of the GL(2) converse theorem	2015	Andrew R. Booker M. Krishnamurthy
+ PDF Chat	$$L$$ L -functions as distributions	2015	Andrew R. Booker
+ PDF Chat	Detecting squarefree numbers	2015	Andrew R. Booker Ghaith A. Hiary Jon P Keating
+	The Selberg trace formula as a Dirichlet series	2015	Andrew R. Booker Min Lee
+	Square-free values of reducible polynomials	2015	Andrew R. Booker T. D. Browning
+ PDF Chat	Zeros of<i>L</i>-functions outside the critical strip	2014	Andrew R. Booker Frank Thorne
+	SOME REMARKS ON THE GL(2) CONVERSE THEOREM (保型表現とその周辺 : RIMS研究集会報告集)	2013	Andrew R. Booker Muthu Krishnamurthy
+	SOME REMARKS ON THE GL(2) CONVERSE THEOREM : JOINT WITH MUTHU KRISHNAMURTHY (Automorphic Representations and Related Topics)	2013	Andrew R. Booker
+ PDF Chat	Weil's Converse Theorem with Poles	2013	Andrew R. Booker M. Krishnamurthy
+ PDF Chat	Further refinements of the GL(2) converse theorem	2013	Andrew R. Booker M. Krishnamurthy
+ PDF Chat	Bounds and algorithms for the -Bessel function of imaginary order	2013	Andrew R. Booker Andreas Strömbergsson Holger Then
+	Simple zeros of degree 2 L-functions	2012	Andrew R. Booker
+ PDF Chat	On Mullin's Second Sequence of Primes	2012	Andrew R. Booker
+	Simple zeros of degree 2 L-functions	2012	Andrew R. Booker
+	On Mullin's second sequence of primes	2011	Andrew R. Booker
+ PDF Chat	A strengthening of the GL(2) converse theorem	2011	Andrew R. Booker M. Krishnamurthy
+	On Mullin's second sequence of primes	2011	Andrew R. Booker
+	Uncovering a new L-function	2008	Andrew R. Booker
+ PDF Chat	Numerical computations with the trace formula and the Selberg eigenvalue conjecture	2007	Andrew R. Booker Andreas Strömbergsson
+	Quadratic class numbers and character sums	2006	Andrew R. Booker
+ PDF Chat	Artin's Conjecture, Turing's Method, and the Riemann Hypothesis	2006	Andrew R. Booker
+	Effective computation of Maass cusp forms	2006	Andrew R. Booker Andreas Strömbergsson Akshay Venkatesh
+	Artin's conjecture, Turing's method and the Riemann hypothesis	2005	Andrew R. Booker
+	Numerical tests of modularity	2005	Andrew R. Booker
+	Artin's conjecture, Turing's method and the Riemann hypothesis	2005	Andrew R. Booker
+ PDF Chat	Poles of Artin L-functions and the strong Artin conjecture	2003	Andrew R. Booker
+ PDF Chat	A Test for Identifying Fourier Coefficients of Automorphic Forms and Application to Kloosterman Sums	2000	Andrew R. Booker

Common Coauthors

Coauthor	Papers Together
Min Lee	11
Stephen D. Cohen	7
Tim Trudgian	7
M. Krishnamurthy	7
Nicol Leong	4
Andreas Strömbergsson	4
Carl Pomerance	3
Altug Alkan	3
Andrew V. Sutherland	3
Jonathan Bober	3
Florian Luca	3
Nicole Sutherland	3
Holger Then	2
T. D. Browning	2
Shehzad Hathi	2
Micah B. Milinovich	2
Nathan Ng	2
Michael J. Mossinghoff	2
Timothy S. Trudgian	2
Muthu Krishnamurthy	2
David J. Platt	2
John Voight	2
Michael Farmer	1
Brian Conrey	1
Jon P Keating	1
David Lowry-Duda	1
Akshay Venkatesh	1
Giuseppe Molteni	1
Peter J. Cho	1
Alex J. Best	1
Jeroen Sijsling	1
Sandro Bettin	1
Ghaith A. Hiary	1
Ce Bian	1
Dan Yasaki	1
Frank Thorne	1
Sean A. Irvine	1
Thomas Oliver	1
David Roe	1
Andrei Seymour-Howell	1
Myoungil Kim	1
Edgar Costa	1
David Lowry-Duda	1
Raphael S. Steiner	1
Michael Farmer	1
Maarten Derickx	1
J. E. Cremona	1
Austin Docherty	1
Tim Browing	1
Michael J. Jacobson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	9
+	�ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen	1967	Andr� Weil	9
+ PDF Chat	The Selberg Trace Formula for PSL(2,ℝ)	1983	Dennis A. Hejhal	8
+ PDF Chat	A strengthening of the GL(2) converse theorem	2011	Andrew R. Booker M. Krishnamurthy	7
+	Simple zeros of the Ramanujan ?-Dirichlet series	1988	J. Brian Conrey Amit Ghosh	7
+	Prime Numbers: A Computational Perspective	2012	Richard E. Crandall Carl Pomerance	5
+ PDF Chat	Icosahedral Galois Representations	1978	Joe Buhler	5
+ PDF Chat	Poles of Artin L-functions and the strong Artin conjecture	2003	Andrew R. Booker	5
+ PDF Chat	Weil's Converse Theorem with Poles	2013	Andrew R. Booker M. Krishnamurthy	5
+	Twists of newforms and pseudo-eigenvalues ofW-operators	1978	A. O. L. Atkin W Li	5
+	Perspectives on the Analytic Theory of L-Functions	2000	Henryk Iwaniec Peter Sarnak	5
+ PDF Chat	Computing Special Values of Motivic<i>L</i>-Functions	2004	Tim Dokchitser	5
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	5
+	A non-vanishing theorem for zeta functions ofGL n	1976	Herv� Jacquet J. A. Shalika	5
+ PDF Chat	Numerical computations with the trace formula and the Selberg eigenvalue conjecture	2007	Andrew R. Booker Andreas Strömbergsson	5
+	On Artin's L-Series with General Group Characters	1947	Richard Brauer	4
+	Effective computation of Maass cusp forms	2006	Andrew R. Booker Andreas Strömbergsson Akshay Venkatesh	4
+	Arb	2014	Fredrik Johansson	4
+ PDF Chat	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	4
+	�ber eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichlet scher Reihen durch Funktionalgleichungen	1949	Hans Maaß	4
+ PDF Chat	On icosahedral Artin representations	2001	Kevin Buzzard Mark Dickinson Nick Shepherd-Barron Richard Taylor	4
+ PDF Chat	On Mullin's Second Sequence of Primes	2012	Andrew R. Booker	4
+	SIMPLE ZEROS OF MAASS L-FUNCTIONS	2012	Peter Jaehyun Cho	4
+	Converse theorems for GL n	1994	J. W. Cogdell Ilya Piatetski-Shapiro	4
+ PDF Chat	Artin’s conjecture for representations of octahedral type	1981	Jerrold B. Tunnell	4
+	The Primes that Euclid Forgot	2014	Paul Pollack Enrique Treviño	4
+ PDF Chat	A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$	1978	Stephen Gelbart Hervé Jacquet	4
+	Some Calculations of the Riemann Zeta-Function	1953	Alan Turing	3
+	Rankin-Selberg Convolutions	1983	H. Jacquet I. I. Piatetskii-Shapiro J. A. Shalika	3
+	Newer sums of three cubes	2016	Sander G. Huisman	3
+	Hecke operators on ?0(m)	1970	A. O. L. Atkin Joseph Lehner	3
+	On Converse Theorems for GL(2) and GL(1)	1981	Wen-Ch'ing Winnie Li	3
+	Existence results for primitive elements in cubic and quartic extensions of a finite field	2018	Geoff B Bailey Stephen D. Cohen Nicole Sutherland Tim Trudgian	3
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	3
+	None	2003	Song Wang	3
+ PDF Chat	A correction to “Conducteur des représentationsdu groupe linéaire”	2012	Hervé Jacquet	3
+	Numerical tests of modularity	2005	Andrew R. Booker	3
+ PDF Chat	A note on GL2 converse theorems	2002	Adrian Diaconu Alberto Perelli Alexandru Zaharescu	3
+ PDF Chat	Further refinements of the GL(2) converse theorem	2013	Andrew R. Booker M. Krishnamurthy	3
+ PDF Chat	A mod five approach to modularity of icosahedral Galois representations	2002	Kevin Buzzard William Stein	3
+ PDF Chat	Uniform approximate functional equation for principal L-functions	2002	Gergely Harcos	3
+ PDF Chat	Modularity of an odd icosahedral representation	2000	Arnaud Jehanne Michael Müller	3
+	BASE CHANGE FOR GL(2)	1980	R. P. Langlands	3
+ PDF Chat	Artin's Conjecture, Turing's Method, and the Riemann Hypothesis	2006	Andrew R. Booker	3
+ PDF Chat	Zeros of Dirichlet series with periodic coefficients	2009	Éric Saïas Andreas Weingartner	3
+	Computational methods and experiments in analytic number theory	2005	Michael Rubinstein	3
+	Automorphic forms and representations	1997	Daniel Bump	3
+ PDF Chat	Rankin-Selberg L-functions in the level aspect	2002	Emmanuel Kowalski Philippe Michel Jeffrey M. VanderKam	3
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	3
+ PDF Chat	On solving the Diophantine equation 𝑥³+𝑦³+𝑧³=𝑘 on a vector computer	1993	D. R. Heath‐Brown W.M. Lioen H. J. J. te Riele	3