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Chiara Bellotti
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All published works
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Title
Year
Authors
+
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Improved estimates for the argument and zero-counting of Riemann zeta-function
2024
Chiara Bellotti
Peng‐Jie Wong
+
An explicit log-free zero density estimate for the Riemann zeta-function
2024
Chiara Bellotti
+
PDF
Chat
On the generalised Dirichlet divisor problem
2024
Chiara Bellotti
Andrew Yang
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Explicit bounds for the Riemann zeta function and a new zero-free region
2024
Chiara Bellotti
Common Coauthors
Coauthor
Papers Together
Andrew Yang
1
Peng‐Jie Wong
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION
2002
Kevin Ford
2
+
PDF
Chat
Explicit zero-free regions for the Riemann zeta-function
2024
Michael J. Mossinghoff
Timothy S. Trudgian
Andrew Yang
2
+
The cubic case of the main conjecture in Vinogradov's mean value theorem
2016
Trevor D. Wooley
2
+
PDF
Chat
Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three
2016
Jean Bourgain
Ciprian Demeter
Larry Guth
2
+
Zur Absch�tzung der Riemannschen Zetafunktion in der N�he der Vertikalen ?=1
1967
H.-E. Richert
2
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Numerical computations concerning the GRH
2015
David J. Platt
1
+
None
2003
K. Soundararajan
1
+
PDF
Chat
An Explicit Zero-Free Region for the Riemann Zeta-Function
2000
Yuanyou Furui Cheng
1
+
ON THE DIFFERENCE BETWEEN CONSECUTIVE PRIMES
1937
A. E. Ingham
1
+
PDF
Chat
An Explicit Upper Bound for the Riemann Zeta-Function near the Line $\sigma=1$
1999
Yuanyou Furui Cheng
1
+
PDF
Chat
Explicit estimates on several summatory functions involving the Moebius function
2014
Olivier Ramaré
1
+
On the difference between consecutive primes
1971
M. N. Huxley
1
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An asymptotic estimate related to Selberg's sieve
1978
Sidney West Graham
1
+
PDF
Chat
A NOTE ON KADIRI'S EXPLICIT ZERO FREE REGION FOR RIEMANN ZETA FUNCTION
2014
Woo Jin Jang
Soun-Hi Kwon
1
+
New omega theorems for two classical lattice point problems
1981
James Lee Hafner
1
+
New estimates of the remainder in an asymptotic formula in the multidimensional Dirichlet divisor problem
2011
O. V. Kolpakova
1
+
Dirichlet divisor problem in number fields
1988
E. I. Panteleeva
1
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UNIFORM APPROXIMATION OF THE REMAINDER TERM IN THE DIRICHLET DIVISOR PROBLEM
1972
A A Karacuba
1
+
PDF
Chat
The large sieve
1973
Hugh L. Montgomery
R. C. Vaughan
1
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ON THE ESTIMATION OF <i>N</i>(σ, <i>T</i>)
1940
A. E. Ingham
1
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Some extremal properties of positive trigonometric polynomials
1977
В. П. Кондратьев
1
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On Dirichlet's Divisor Problem
1917
G. H. Hardy
1
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A NEW ESTIMATE FOR A TRIGONOMETRIC INTEGRAL OF I. M. VINOGRADOV
1988
Olga Tyrina
1
+
PDF
Chat
Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
1992
D. R. Heath‐Brown
1
+
New estimate in Vinogradov’s mean-value theorem
2011
Sergei Preobrazhenskiĭ
1
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AN IMPROVEMENT OF VINOGRADOV'S MEAN-VALUE THEOREM AND SEVERAL APPLICATIONS
1949
Loo-Keng Hua
1
+
The Theory of the Riemann Zeta-Function
1987
E. C. Titchmarsh
D. R. Heath‐Brown
1
+
PDF
Chat
At least two fifths of the zeros of the Riemann zeta function are on the critical line
1989
J. Brian Conrey
1
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Sign Changes of E(T), Δ(x), and P(x)
1994
D. R. Heath‐Brown
Kai-Man Tsang
1
+
PDF
Chat
On Linnik's constant.
1977
Matti Jutila
1
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An explicit density estimate for Dirichlet $L$-series
2015
Olivier Ramaré
1
+
Effective Vinogradov's mean value theorem via efficient boxing
2019
Raphael S. Steiner
1
+
PDF
Chat
Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
2017
Fredrik Johansson
1
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Explicit averages of non-negative multiplicative functions: going beyond the main term
2017
Olivier Ramaré
P. Akhilesh
1
+
PDF
Chat
Nested efficient congruencing and relatives of Vinogradov's mean value theorem
2018
Trevor D. Wooley
1
+
Explicit zero density for the Riemann zeta function
2018
Habiba Kadiri
Allysa Lumley
Nathan Ng
1
+
PDF
Chat
Some new density theorems for Dirichlet $L$-functions
2019
J. Pintz
1
+
PDF
Chat
Explicit average orders: news and problems
2019
Olivier Ramaré
1
+
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
1
+
PDF
Chat
A new kth derivative estimate for exponential sums via Vinogradov’s mean value
2017
D. R. Heath‐Brown
1
+
Explicit zero density estimate for the Riemann zeta-function near the critical line
2020
Aleksander Simonič
1
+
The error term in the prime number theorem
2020
David J. Platt
Timothy S. Trudgian
1
+
PDF
Chat
Une région explicite sans zéros pour la fonction ζ de Riemann
2005
Habiba Kadiri
1
+
PDF
Chat
The Riemann hypothesis is true up to 3·1012
2021
David J. Platt
Tim Trudgian
1
+
PDF
Chat
Two explicit divisor sums
2021
Michaela Cully-Hugill
Tim Trudgian
1
+
PDF
Chat
Primes between consecutive powers
2023
Michaela Cully-Hugill
1
+
PDF
Chat
Improving bounds on prime counting functions by partial verification of the Riemann hypothesis
2022
Daniel R. Johnston
1
+
PDF
Chat
On the error term in the explicit formula of Riemann–von Mangoldt
2022
Michaela Cully-Hugill
Daniel R. Johnston
1
+
On the Zeros of the Riemann Zeta-Function
1969
Bruce C. Berndt
1
+
PDF
Chat
Some explicit estimates for the error term in the prime number theorem
2023
Daniel R. Johnston
Andrew Yang
1