SU\G(𝔾)/K·U

Quanli Shen

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All published works
Action Title Year Authors
+ PDF Chat The fourth moment of quadratic Dirichlet $L$-Functions II 2024 Quanli Shen
Joshua Stucky
+ PDF Chat Shifted moments of the Riemann zeta function 2023 Nathan Ng
Quanli Shen
Peng‐Jie Wong
+ PDF Chat Counting zeros of the Riemann zeta function 2021 Elchin Hasanalizade
Quanli Shen
Peng‐Jie Wong
+ Counting zeros of the Riemann zeta function 2021 Elchin Hasanalizade
Quanli Shen
Peng‐Jie Wong
+ Counting zeros of Dedekind zeta functions 2021 Elchin Hasanalizade
Quanli Shen
Peng‐Jie Wong
+ Counting zeros of Dedekind zeta functions 2021 Elchin Hasanalizade
Quanli Shen
Peng‐Jie Wong
+ The first moment of quadratic twists of modular $L$-functions 2021 Quanli Shen
+ PDF Chat The fourth moment of quadratic Dirichlet L-functions 2020 Quanli Shen
+ The fourth moment of quadratic Dirichlet $L$-functions 2019 Quanli Shen
+ PDF Chat The ternary Goldbach problem with primes in positive density sets 2016 Quanli Shen
+ The ternary Goldbach problem with primes in positive density sets 2016 Quanli Shen
Common Coauthors
Coauthor Papers Together
Peng‐Jie Wong 5
Elchin Hasanalizade 4
Nathan Ng 1
Joshua Stucky 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Explicit Bounds for Some Functions of Prime Numbers 1941 Barkley Rosser
 4
+ PDF Chat The second moment of quadratic twists of modular $L$-functions 2010 K. Soundararajan
Matthew P. Young
 4
+ PDF Chat Über die Nullstellen der Riemannschen Zetafunktion 1916 Robin Backlund
 4
+ PDF Chat An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions 2014 Timothy S. Trudgian
 4
+ Counting zeros of Dirichlet $L$-functions 2020 Michael A. Bennett
Greg Martin
Kevin O’Bryant
Andrew Rechnitzer
 4
+ Random Matrix Theory and L-Functions at s = 1/2 2000 Jonathan P. Keating
N. C. Snaith
 3
+ Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series 1985 Dorian Goldfeld
Jeffrey Hoffstein
 3
+ PDF Chat A mean value estimate for real character sums 1995 D. R. Heath‐Brown
 3
+ PDF Chat SHIFTED MOMENTS OF ‐FUNCTIONS AND MOMENTS OF THETA FUNCTIONS 2016 Marc Munsch
 3
+ ON THE CORRELATION OF SHIFTED VALUES OF THE RIEMANN ZETA FUNCTION 2010 Vorrapan Chandee
 3
+ PDF Chat The third moment of quadratic Dirichlet L-functions 2012 Matthew P. Young
 3
+ The second moment of quadratic Dirichlet L-functions 2019 Keiju Sono
 3
+ PDF Chat Moments of the Riemann zeta function 2009 K. Soundararajan
 3
+ PDF Chat The first moment of quadratic Dirichlet L-functions 2009 Matthew P. Young
 3
+ PDF Chat Integral moments of L-functions 2005 J. Brian Conrey
D. W. Farmer
Jonathan P. Keating
MO Rubinstein
N. C. Snaith
 3
+ An improved upper bound for the argument of the Riemann zeta-function on the critical line II 2013 Timothy S. Trudgian
 2
+ Minor arcs for Goldbach's problem 2012 H. A. Helfgott
 2
+ The ternary Goldbach conjecture is true 2013 H. A. Helfgott
 2
+ An improved explicit bound on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">|</mml:mo><mml:mi>ζ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">|</mml:mo></mml:math> 2014 David J. Platt
Timothy S. Trudgian
 2
+ Conjectures and Experiments Concerning the Moments of<i>L</i>(1/2, χ<sub><i>d</i></sub>) 2012 Matthew W. Alderson
Michael Rubinstein
 2
+ PDF Chat Zur Verteilung der Nullstellen der Riemannschen Funktion Îł(t) 1905 Hans von Mangoldt
 2
+ PDF Chat On the Cubic Moment of Quadratic Dirichlet $L$-functions 2005 Qiao Zhang
 2
+ PDF Chat Explicit estimates for the error term in the prime number theorem for arithmetic progressions 1984 Kevin S. McCurley
 2
+ PDF Chat Explicit Estimates for the Riemann Zeta Function 2004 Yuanyou Furui Cheng
S. W. Graham
 2
+ PDF Chat A NEW UPPER BOUND FOR 2013 Timothy S. Trudgian
 2
+ PDF Chat A density version of Vinogradov's three primes theorem 2010 Hongze Li
Hao Pan
 2
+ PDF Chat Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes 1923 G. H. Hardy
J. E. Littlewood
 2
+ PDF Chat Zeroes of zeta functions and symmetry 1999 Nicholas Katz
Peter Sarnak
 2
+ PDF Chat An improved upper bound for the argument of the Riemann zeta-function on the critical line 2011 Timothy S. Trudgian
 2
+ PDF Chat Roth’s theorem in the primes 2005 Ben Green
 2
+ Conjectures for the integral moments and ratios of L-functions over function fields 2014 Julio Andrade
Jonathan P. Keating
 2
+ PDF Chat The primes contain arbitrarily long arithmetic progressions 2008 Benjamin Green
Terence Tao
 2
+ PDF Chat A bound for the least prime ideal in the Chebotarev Density Theorem 1979 Jeffrey C. Lagarias
Hugh L. Montgomery
Andrew Odlyzko
 2
+ Representation of an Odd Number as the Sum of Three Primes 1985 Ivan Matveevič Vinogradov
 2
+ PDF Chat Multiple Dirichlet Series and Moments of Zeta and L-Functions 2003 Adrian Diaconu
Dorian Goldfeld
Jeffrey Hoffstein
 2
+ PDF Chat The fourth moment of quadratic Dirichlet L-functions over function fields 2017 Alexandra Florea
 2
+ Explicit zero density theorems for Dedekind zeta functions 2012 Habiba Kadiri
Nathan Ng
 2
+ An explicit van der Corput estimate for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>ζ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> 2015 Ghaith A. Hiary
 2
+ An Explicit Upper Bound for $|ζ(1+it)|$ 2020 Dhir Patel
 2
+ Accurate estimation of sums over zeros of the Riemann zeta-function 2021 Richard P. Brent
David J. Platt
Timothy S. Trudgian
 2
+ PDF Chat Random Matrix Theory and ζ(1/2+ it) 2000 Jonathan P. Keating
N. C. Snaith
 1
+ The sixth moment of the Riemann zeta function and ternary additive divisor sums 2021 Nathan Ng
 1
+ Nonvanishing theorems for L-functions of modular forms and their derivatives 1990 Daniel Bump
Solomon Friedberg
Jeffrey Hoffstein
 1
+ The Theory of the Riemann Zeta-Function 1987 E. C. Titchmarsh
D. R. Heath‐Brown
 1
+ 4. The $L$-Functions and Modular Forms Database by John E. Cremona, John W. Jones, Andrew V. Sutherland, and John Voight 2021 J. E. Cremona
John W. Jones
Andrew V. Sutherland
John Voight
 1
+ PDF Chat Moments and distribution of central $$L$$ L -values of quadratic twists of elliptic curves 2015 Maksym RadziwiƂƂ
K. Soundararajan
 1
+ PDF Chat On the occurrence of the sine kernel in connection with the shifted moments of the Riemann zeta function 2010 Holger Kösters
 1
+ Spectral Theory of the Riemann Zeta-Function 1997 Yoichi Motohashi
 1
+ Lower bounds for moments of zeta and L$L$‐functions revisited 2022 Winston Heap
K. Soundararajan
 1
+ Major arcs for Goldbach's theorem 2013 H. A. Helfgott
 1