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The ternary Goldbach conjecture states that every odd number $n\geq 7$ is the sum of three primes.
On the functions associated with the parabolic cylinder in harmonic analysis
E. T. Whittaker · 1903
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Sur la théorie de la fonction ζ ( s ) \zeta(s) de Riemann
S. Wigert · 1920
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Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes
G. H. Hardy and J. E. Littlewood · 1923
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Representation of an odd number as a sum of three primes
I. M. Vinogradov · 1937
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Explicit bounds for some functions of prime numbers
B. Rosser · 1941
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Some calculations of the Riemann zeta-function
A. M. Turing · 1953
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Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter
F. W. J. Olver · 1958
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Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
F. W. J. Olver · 1959
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Two inequalities for parabolic cylinder functions
F. W. J. Olver · 1961
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Handbook of mathematical functions with formulas, graphs, and mathematical tables
M. Abramowitz and I. A. Stegun · 1964
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On the asymptotic solution of second-order differential equations having an irregular singularity of rank one, with an application to Whittaker functions
F. W. J. Olver · 1965
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Collected papers of G. H. Hardy (Including Joint papers with J. E. Littlewood and others). Vol. I
G. H. Hardy · 1966
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On the difference π ( x ) − li ( x ) \pi(x)-{\rm li}(x)
R. Sherman Lehman · 1966
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Asymptotics and special functions
F. W. J. Olver · 1974
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The fourth power moment of the Riemann zeta function
D. R. Heath-Brown · 1979
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Asymptotic methods in analysis
N. G. de Bruijn · 1981
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Explicit estimates for the error term in the prime number theorem for arithmetic progressions
K. S. McCurley · 1984
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ZetaGrid - Computational verification of the Riemann hypothesis
S. Wedeniwski · 2003
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Analytic number theory
H. Iwaniec and E. Kowalski · 2004
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Une région explicite sans zéros pour la fonction ζ \zeta de Riemann
H. Kadiri · 2005
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Turing and the Riemann hypothesis
A. R. Booker · 2006
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VNODE-LP: a validated solver for initial value problems in ordinary differential equations, July 2006
N. S. Nedialkov · 2006
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Multiplicative number theory. I. Classical theory
H. L. Montgomery and R. C. Vaughan · 2007
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R. Wong · 1989
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Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models
Martin Berz and Kyoko Makino · 1998
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PROFIL/BIAS, February 1999
O. Knüppel · 1999
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Table of integrals, series, and products
I. S. Gradshteyn and I. M. Ryzhik · 2000
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Parabolic cylinder functions: examples of error bounds for asymptotic expansions
N. M. Temme and R. Vidunas · 2003
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Major arcs for Goldbach’s problem
H. A. Helfgott
Cited in the paper.
J. Bertrand, P. Bertrand, and J.-P. Ovarlez · 2010
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NIST handbook of mathematical functions
F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and Ch. W. Clark, editors · 2010
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Parabolic cylinder functions
N. M. Temme · 2010
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Computing degree 1 1 L-functions rigorously
D. Platt · 2011
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Validated numerics: A short introduction to rigorous computations
W. Tucker · 2011
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