SU\G(𝔸)/K·U

Herman te Riele

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All published works
Action Title Year Authors
+ Grootschalig rekenen in de getaltheorie 2013 Herman te Riele
+ PDF Chat Improved results on the Mertens conjecture 2013 Yannick Saouter
Herman te Riele
+ On the size of solutions of the inequality φ(ax + b) < φ(ax) 2012 Herman te Riele
+ Aliquot Cycles of Repdigits 2011 Florian Luca
Herman te Riele
+ PDF Chat Average prime-pair counting formula 2009 Jaap Korevaar
Herman te Riele
+ The Mertens Conjecture Revisited 2006 Tadej Kotnik
Herman te Riele
+ PDF Chat New Computations Concerning the Cohen-Lenstra Heuristics 2003 Herman te Riele
Hugh C. Williams
+ On the size of solutions of the inequality ø (ax+b) < ø (ax) 2001 Herman te Riele
+ PDF Chat Computational sieving applied to some classical number-theoretic problems 1999 Herman te Riele
+ PDF Chat On $\phi $-amicable pairs 1998 Graeme L. Cohen
Herman te Riele
+ Computational sieving applied to some classical number-theoretic problems 1998 Herman te Riele
+ A complete Vinogradov 3-primes theorem under the Riemann hypothesis 1997 Jean-Marc Deshouillérs
Gove Effinger
Herman te Riele
D. Zinoviev
+ On the history of the function $M(x)/sqrt x$ since Stieltjes 1991 Herman te Riele
+ Mertens' conjecture disproved : research announcement 1983 Herman te Riele
+ Iteration of number-theoretic functions 1983 Herman te Riele
+ On the representation of the positive integers as the sum of two unitary abundant numbers 1975 Herman te Riele
Common Coauthors
Coauthor Papers Together
Jean-Marc Deshouillérs 1
Gove Effinger 1
Florian Luca 1
Tadej Kotnik 1
Yannick Saouter 1
Hugh C. Williams 1
Jaap Korevaar 1
D. Zinoviev 1
Graeme L. Cohen 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ 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
 3
+ PDF Chat Disproof of the Mertens conjecture. 1985 Andrew Odlyzko
H. J. J. te Riele
 3
+ PDF Chat Factoring polynomials with rational coefficients 1982 A. K. Lenstra
H. W. Lenstra
László Lovász
 2
+ The Riemann Zeta-Function 1992 A. A. Karatsuba
Сергей Воронин
 2
+ The Theory of the Riemann Zeta-Function 1987 E. C. Titchmarsh
D. R. Heath‐Brown
 2
+ PDF Chat New experimental results concerning the Goldbach conjecture 1998 Jean-Marc Deshouillérs
H. J. J. te Riele
Yannick Saouter
 2
+ PDF Chat Checking the Goldbach Conjecture up to 4 ⋅10 11 1993 Matti K. Sinisalo
 2
+ Riemann's Zeta Function 1974 Harold M. Edwards
 1
+ Weylsche Exponentialsummen in der neueren Zahlentheorie 1963 Arnold Walfisz
 1
+ Applications of sieve methods to the theory of numbers 1976 C. Hooley
 1
+ PDF Chat Unsolved Problems in Number Theory 1994 Richard K. Guy
 1
+ The Riemann zeta-function : the theory of the Riemann zeta-function with applications 1985 A. Ivić
 1
+ PDF Chat The Distribution of Prime Numbers 1933 A. E. Ingham
 1
+ PDF Chat Corrigendum: “Sharper bounds for the Chebyshev functions 𝜃(𝑥) and 𝜓(𝑥). II” (Math. Comput. 30 (1976), no. 134, 337–360) 1976 Lowell Schoenfeld
 1
+ PDF Chat Upper bounds for class numbers of real quadratic fields 1994 LE Mao-hua
 1
+ On the calculation of regulators and class numbers of quadratic fields 1982 H. W. Lenstra
 1
+ There Are Infinitely Many Prime Twins 2004 R. F. Arenstorf
 1
+ PDF Chat A new bound for the smallest $x$ with $\pi(x) &gt; \mathrm{li}(x)$ 1999 Carter Bays
Richard H. Hudson
 1
+ Topics in Multiplicative Number Theory 1971 Hugh L. Montgomery
 1
+ A constructive approach to Kronecker approximations and its application to the Mertens conjecture. 1976 Alexander Peyerimhoff
W. B. Jurkat
 1
+ PDF Chat Irregularities in the distribution of primes and twin primes 1975 Richard P. Brent
 1
+ Sur la distribution des nombres premiers 1901 Helge Koch
 1
+ The distribution of prime numbers 1990 A. A. Karatsuba
 1
+ On Vinogradov's Constant in Goldbach's Ternary Problem 1997 D. V. Zinoviev
 1
+ PDF Chat The Solution of a Special Arithmetic Equation 1982 Miriam Hausman
 1
+ Notes on Thabit ibn Qurra and his rule for amicable numbers 1989 Sonja Brentjes
Jan P. Hogendijk
 1
+ PDF Chat New quadratic polynomials with high densities of prime values 2002 Michael J. Jacobson
Hugh C. Williams
 1
+ PDF Chat On strong pseudoprimes to several bases 1993 Gerhard Jaeschke
 1
+ PDF Chat VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION 2002 Kevin Ford
 1
+ PDF Chat The Riemann hypothesis and pseudorandom features of the Möbius sequence 1968 I. J. Good
R. F. Churchhouse
 1
+ PDF Chat Checking the odd Goldbach conjecture up to 10²⁰ 1998 Yannick Saouter
 1
+ PDF Chat A heuristic asymptotic formula concerning the distribution of prime numbers 1962 Paul T. Bateman
Roger A. Horn
 1
+ Distributional Wiener-Ikehara theorem and twin primes 2005 Jacob Korevaar
 1
+ PDF Chat Computation of real quadratic fields with class number one 1988 A. J. Stephens
Hywel C Williams
 1
+ On the Order of the Mertens Function 2004 Tadej Kotnik
J. Lune
 1
+ PDF Chat Some large primes and amicable numbers 1981 Walter Borho
 1
+ PDF Chat Corrigenda and addition to ``Computer verification of the Ankeny-Artin-Chowla conjecture for all primes less than $100000000000$'' 2002 A. J. van der Poorten
H. J. J. te Riele
Hywel C Williams
 1
+ Results on the Möbius function 2007 Jerzy Kaczorowski
 1
+ Multiperfect numbers with identical digits 2010 Florian Luca
Paul Pollack
 1
+ On Riemann's zeta function 1986 Daniel Bump
Eugene K. -S. Ng
 1
+ PDF Chat Small differences between prime numbers 1966 Enrico Bombieri
H. Davenport
 1
+ The prime-counting function and its analytic approximations 2007 Tadej Kotnik
 1
+ Analog of the Skewes number for twin primes 2007 Marek Wolf
 1
+ The Mertens Conjecture Revisited 2006 Tadej Kotnik
Herman te Riele
 1
+ PDF Chat The book of prime number records 1988 Paulo Ribenboim
 1
+ Systematic computations on Mertens' conjecture and Dirichlet's divisor problem by vectorized sieving 1994 W.M. Lioen
J. van deLune
 1
+ Heuristics on class groups 1984 Henri Cohen
H. W. Lenstra
 1
+ Prime pairs and the zeta function 2008 Jacob Korevaar
 1
+ Eine Schranke für befreundete Zahlen mit gegebener Teileranzahl 1974 Walter Borho
 1
+ PDF Chat The distribution of the summatory function of the Möbius function 2004 Nathan Ng
 1