Xiannan Li

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All published works

Action	Title	Year	Authors
+ PDF Chat	The eighth moment of Dirichlet L-functions II	2024	Vorrapan Chandee Xiannan Li Kaisa Matomäki Maksym Radziwiłł
+ PDF Chat	The sixth moment of Dirichlet L-functions at the central point	2024	Vorrapan Chandee Xiannan Li Kaisa Matomäki Maksym Radziwiłł
+	Moments of quadratic twists of modular $L$-functions	2024	Xiannan Li
+	On Benford’s law for multiplicative functions	2023	Vorrapan Chandee Xiannan Li Paul Pollack Akash Singha Roy
+	The eighth moment of Dirichlet L-functions II	2023	Vorrapan Chandee Xiannan Li Kaisa Matomäki Maksym Radziwiłł
+	Low-lying zeros of a large orthogonal family of automorphic $L$-functions	2023	Siegfred Baluyot Vorrapan Chandee Xiannan Li
+	Pair correlation of zeros of $$\Gamma _1(q)$$ L-functions	2022	Vorrapan Chandee Kim Klinger-Logan Xiannan Li
+ PDF Chat	Prime values of a sparse polynomial sequence	2022	Xiannan Li
+	On Benford's Law for multiplicative functions	2022	Vorrapan Chandee Xiannan Li Paul Pollack Akash Singha Roy
+	Moments of quadratic twists of modular $L$-functions	2022	Xiannan Li
+	The second moment of $GL(4) \times GL(2)$ $L$-functions at special points	2021	Vorrapan Chandee Xiannan Li
+	Prime values of a sparse polynomial sequence	2021	Xiannan Li
+	The second moment of $GL(4) \times GL(2)$ $L$-functions at special points	2021	Vorrapan Chandee Xiannan Li
+ PDF Chat	A quadratic divisor problem and moments of the Riemann zeta-function	2020	Sandro Bettin Hung M. Bui Xiannan Li Maksym Radziwiłł
+	The second moment of GL(4)×GL(2) L-functions at special points	2020	Vorrapan Chandee Xiannan Li
+	Extension of a positivity trick and estimates involving L-functions at the edge of the critical strip	2019	Xiannan Li
+ PDF Chat	The 8th Moment of the Family of $\Gamma_1(q)$-Automorphic $L$-Functions	2018	Vorrapan Chandee Xiannan Li
+	The eighth moment of the family of $\Gamma_1(q)$-automorphic $L$-functions	2017	Vorrapan Chandee Xiannan Li
+ PDF Chat	The sixth moment of automorphic L-functions	2017	Vorrapan Chandee Xiannan Li
+	Corrigendum to \lq\lq Conditional bounds for the least quadratic non-residue and related problems\rq\rq	2017	Youness Lamzouri Xiannan Li K. Soundararajan
+	The eighth moment of the family of $Γ_1(q)$-automorphic $L$-functions	2017	Vorrapan Chandee Xiannan Li
+	Prime values of $$a^2 + p^4$$ a 2 + p 4	2016	D. R. Heath‐Brown Xiannan Li
+	A quadratic divisor problem and moments of the Riemann zeta-function	2016	Sandro Bettin Hung M. Bui Xiannan Li Maksym Radziwiłł
+	Almost prime triples and Chen's theorem	2016	D. R. Heath‐Brown Xiannan Li
+	A quadratic divisor problem and moments of the Riemann zeta-function	2016	Sandro Bettin H. M. Bui Xiannan Li Maksym Radziwiłł
+	Primes values of $a^2 + p^4$	2015	D. R. Heath‐Brown Xiannan Li
+ PDF Chat	Conditional bounds for the least quadratic non-residue and related problems	2015	Youness Lamzouri Xiannan Li K. Soundararajan
+	Almost prime triples and Chen's Theorem	2015	D. R. Heath‐Brown Xiannan Li
+	Primes values of $a^2 + p^4$	2015	D. R. Heath‐Brown Xiannan Li
+	The eighth moment of Dirichlet L -functions	2014	Vorrapan Chandee Xiannan Li
+	Additive twists of Fourier coefficients of 𝐺𝐿(3) Maass forms	2014	Xiannan Li
+ PDF Chat	The Riemann Zeta Function on Vertical Arithmetic Progressions	2013	Xiannan Li Maksym Radziwiłł
+	Conditional bounds for the least quadratic non-residue and related problems	2013	Youness Lamzouri Xiannan Li K. Soundararajan
+	The eighth moment of Dirichlet $L$-functions	2013	Vorrapan Chandee Xiannan Li
+	Conditional bounds for the least quadratic non-residue and related problems	2013	Youness Lamzouri Xiannan Li K. Soundararajan
+ PDF Chat	The smallest prime that does not split completely in a number field	2012	Xiannan Li
+ PDF Chat	Lower Bounds for Small Fractional Moments of Dirichlet L-Functions	2012	Vorrapan Chandee Xiannan Li
+	Additive twists of Fourier coefficients of GL(3) Maass forms	2012	Xiannan Li
+	The Riemann-zeta function on vertical arithmetic progressions	2012	Xiannan Li Maksym Radziwiłł
+	THE LEAST QUADRATIC NON-RESIDUE, VALUES OF L-FUNCTIONS AT s = 1, AND RELATED PROBLEMS	2012	Youness Lamzouri Xiannan Li K. Soundararajan
+	Lower bounds for small fractional moments of Dirichlet $L$-functions	2012	Vorrapan Chandee Xiannan Li
+	The smallest prime that does not split completely in a number field	2010	Xiannan Li
+	The argument of the Riemann $\Xi$-function off the critical line	2009	Xiannan Li
+ PDF Chat	Variation of the argument of the Riemann ξ function on vertical lines	2009	Xiannan Li
+	Upper bounds on L-functions at the edge of the critical strip	2009	Xiannan Li
+	The argument of the Riemann $Ξ$-function off the critical line	2009	Xiannan Li

Common Coauthors

Coauthor	Papers Together
Vorrapan Chandee	18
Maksym Radziwiłł	8
K. Soundararajan	5
Youness Lamzouri	5
D. R. Heath‐Brown	5
Sandro Bettin	3
Kaisa Matomäki	3
Paul Pollack	2
Hung M. Bui	2
Akash Singha Roy	2
Kim Klinger-Logan	1
H. M. Bui	1
Siegfred Baluyot	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	15
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	9
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	7
+	Multiplicative Number Theory	1980	H. Davenport	7
+ PDF Chat	The orthogonality of Hecke eigenvalues	2007	Henryk Iwaniec Xiaoqing Li	6
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec	6
+ PDF Chat	Random Matrix Theory and ζ(1/2+ it)	2000	Jonathan P. Keating N. C. Snaith	6
+	On the zeros of the Riemann zeta-function	1924	J. E. Littlewood	5
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	5
+	The eighth moment of Dirichlet L -functions	2014	Vorrapan Chandee Xiannan Li	5
+ PDF Chat	Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression	1992	D. R. Heath‐Brown	5
+ PDF Chat	The second moment of $$GL(3) \times GL(2) L$$ -functions at special points	2012	Matthew P. Young	4
+ PDF Chat	Primes represented by x3+2y3	2001	D. R. Heath‐Brown	4
+ PDF Chat	The second moment of quadratic twists of modular $L$-functions	2010	K. Soundararajan Matthew P. Young	4
+ PDF Chat	The twisted fourth moment of the Riemann zeta function	2010	C. P. Hughes Matthew P. Young	4
+	Tables of Bessel Transforms	1972	Fritz Oberhettinger	4
+ PDF Chat	On the representation of primes by cubic polynomials in two variables	2004	D. R. Heath‐Brown B. Z. Moroz	4
+ PDF Chat	Generalized Prime Number Theorem	1956	Takayoshi Mitsui	4
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	4
+ PDF Chat	Lower bounds for moments of <i>L</i> -functions	2005	Zeév Rudnick K. Soundararajan	4
+ PDF Chat	The Polynomial X 2 + Y 4 Captures Its Primes	1998	John Friedlander Henryk Iwaniec	4
+	A Treatise on the Theory of Bessel Functions	1944	H. T. Davis G. N. Watson	4
+ PDF Chat	Moments of the Riemann zeta function	2009	K. Soundararajan	4
+ PDF Chat	Asymptotic Sieve for Primes	1998	John Friedlander Henryk Iwaniec	4
+ PDF Chat	Integral moments of L-functions	2005	J. Brian Conrey D. W. Farmer Jonathan P. Keating MO Rubinstein N. C. Snaith	4
+ PDF Chat	The spectral mean value for linear forms in twisted coefficients of cusp forms	1995	Wenzhi Luo	3
+	Prime-detecting sieves	2008	G. Harman	3
+	Primality Tests on Commutator Curves	2001	Sebastian Wedeniwski	3
+ PDF Chat	Explicit bounds for primes in residue classes	1996	Eric Bach Jonathan Sorenson	3
+	Quadratic class numbers and character sums	2006	Andrew R. Booker	3
+	Explicit upper bounds for 𝐿-functions on the critical line	2009	Vorrapan Chandee	3
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	3
+ PDF Chat	Upper Bounds on L-Functions at the Edge of the Critical Strip	2009	Xiaozhou Li	3
+	On the Ternary Additive Divisor Problem and the Sixth Moment of the Zeta-Function	1997	A. Ivić	3
+	Zero-free regions for Dirichlet L-functions	1999	H. Li	3
+ PDF Chat	The sixth moment of automorphic L-functions	2017	Vorrapan Chandee Xiannan Li	3
+	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak	3
+ PDF Chat	Multiple Dirichlet Series and Moments of Zeta and L-Functions	2003	Adrian Diaconu Dorian Goldfeld Jeffrey Hoffstein	3
+ PDF Chat	High moments of the Riemann zeta-function	2001	J. Brian Conrey S. M. Gonek	3
+ PDF Chat	Gaussian sequences in arithmetic progressions	2007	John Friedlander Henryk Iwaniec	3
+ PDF Chat	A rigorous subexponential algorithm for computation of class groups	1989	James Lee Hafner Kevin S. McCurley	3
+	The sixth moment of the family of Γ1(q)-automorphic L-functions	2011	Goran Djanković	3
+ PDF Chat	Second order average estimates on local data of cusp forms	2006	Farrell Brumley	3
+ PDF Chat	The Sixth Power Moment of Dirichlet L-Functions	2012	J. Brian Conrey Henryk Iwaniec K. Soundararajan	3
+	Bounding <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>ζ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>s</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> in the critical strip	2010	Emanuel Carneiro Vorrapan Chandee	3
+	The Least Quadratic Non Residue	1952	N. C. Ankeny	3
+ PDF Chat	A conjecture for the sixth power moment of the Riemann zeta-function	1998	J. Brian Conrey Amit Ghosh	3
+ PDF Chat	Explicit bounds for primality testing and related problems	1990	Eric Bach	3
+	A zero‐free region for the Hecke <i>L</i> ‐functions	1990	Mark D. Coleman	2
+ PDF Chat	Cancellation in additively twisted sums on GL(n)	2006	Stephen D. Miller	2