All Stories

  1. REPRESENTATION FUNCTIONS ON ABELIAN GROUPS

    Article • Bulletin of the Australian Mathematical Society, August 2018, Cambridge University Press

    Professor Yong-Gao Chen

  2. ON ADDITIVE REPRESENTATION FUNCTIONS

    Article • Bulletin of the Australian Mathematical Society, May 2017, Cambridge University Press

    Professor Yong-Gao Chen

  3. JEŚMANOWICZ’ CONJECTURE ON PYTHAGOREAN TRIPLES

    Article • Bulletin of the Australian Mathematical Society, March 2017, Cambridge University Press

    Professor Yong-Gao Chen

  4. On a conjecture of de Koninck

    Article • Journal of Number Theory, September 2015, Elsevier

    Professor Yong-Gao Chen

  5. On the square-root partition function

    Article • Comptes Rendus Mathématique, April 2015, Elsevier

    Professor Yong-Gao Chen

  6. On monochromatic configurations for finite colorings

    Article • Discrete Mathematics, October 2014, Elsevier

    Professor Yong-Gao Chen

  7. Integers with a given number of divisors

    Article • Journal of Number Theory, October 2014, Elsevier

    Professor Yong-Gao Chen

  8. ON THE INTEGERS OF THE FORM $p+b$

    Article • Taiwanese Journal of Mathematics, September 2014, The Mathematical Society of the Republic of China

    Professor Yong-Gao Chen

  9. ERRATUM OF WEIGHTED REPRESENTATION FUNCTIONS ON $\mathbb{Z}_m$

    Article • Taiwanese Journal of Mathematics, August 2014, The Mathematical Society of the Republic of China

    Professor Yong-Gao Chen

  10. On additive complements. III

    Article • Journal of Number Theory, August 2014, Elsevier

    Professor Yong-Gao Chen

  11. On a problem of Sierpiński, II

    Article • Science China Mathematics, July 2014, Springer Science + Business Media

    Professor Yong-Gao Chen

  12. CATALAN NUMBERS MODULO A PRIME POWER

    Article • May 2014, De Gruyter

    Professor Yong-Gao Chen

  13. A lower bound on the least signless Laplacian eigenvalue of a graph

    Article • Linear Algebra and its Applications, May 2014, Elsevier

    Professor Yong-Gao Chen

  14. On the index of an odd perfect number

    Article • Colloquium Mathematicum, January 2014, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  15. On a theorem of Erdos and Sarkozy

    Article • Publicationes Mathematicae Debrecen, October 2013, University of Debrecen/ Debreceni Egyetem

    Professor Yong-Gao Chen

  16. Hegyváriʼs Theorem on complete sequences

    Article • Journal of Number Theory, September 2013, Elsevier

    Professor Yong-Gao Chen

  17. On the products(1ℓ+...

    Article • Journal of Number Theory, August 2013, Elsevier

    Professor Yong-Gao Chen

  18. WEIGHTED REPRESENTATION FUNCTIONS ON $\mathbb{Z}_m$

    Article • Taiwanese Journal of Mathematics, July 2013, The Mathematical Society of the Republic of China

    Professor Yong-Gao Chen

  19. On the Frobenius conjecture for Markoff numbers

    Article • Journal of Number Theory, July 2013, Elsevier

    Professor Yong-Gao Chen

  20. The inverse problem on subset sums

    Article • European Journal of Combinatorics, July 2013, Elsevier

    Professor Yong-Gao Chen

  21. IMPROVED UPPER BOUNDS FOR ODD MULTIPERFECT NUMBERS

    Article • Bulletin of the Australian Mathematical Society, June 2013, Cambridge University Press

    Professor Yong-Gao Chen

  22. ARITHMETIC PROGRESSIONS IN SUMSETS AND DIFFERENCE SETS

    Article • International Journal of Number Theory, May 2013, World Scientific Pub Co Pte Lt

    Professor Yong-Gao Chen

  23. ERRATUM: "THE CONGRUENT PROPERTIES FOR r s (n)"

    Article • International Journal of Number Theory, May 2013, World Scientific Pub Co Pte Lt

    Professor Yong-Gao Chen

  24. ON NEAR-PERFECT NUMBERS WITH TWO DISTINCT PRIME FACTORS

    Article • Bulletin of the Australian Mathematical Society, March 2013, Cambridge University Press

    Professor Yong-Gao Chen

  25. On finite additive complements

    Article • Discrete Mathematics, March 2013, Elsevier

    Professor Yong-Gao Chen

  26. Ruzsa’s theorem on Erdős and Turán conjecture

    Article • European Journal of Combinatorics, February 2013, Elsevier

    Professor Yong-Gao Chen

  27. On sequences containing at most 4 pairwise coprime integers

    Article • Discrete Mathematics, February 2013, Elsevier

    Professor Yong-Gao Chen

  28. On the counting function of Stanley sequences

    Article • Publicationes Mathematicae Debrecen, January 2013, University of Debrecen/ Debreceni Egyetem

    Professor Yong-Gao Chen

  29. On the reciprocal sum of a sum-free sequence

    Article • Science China Mathematics, December 2012, Springer Science + Business Media

    Professor Yong-Gao Chen

  30. Weighted sums of consecutive values of a polynomial

    Article • Journal of Number Theory, December 2012, Elsevier

    Professor Yong-Gao Chen

  31. Partitions of natural numbers with the same weighted representation functions

    Article • Journal of Number Theory, December 2012, Elsevier

    Professor Yong-Gao Chen

  32. On the Erdős–Turán conjecture

    Article • Comptes Rendus Mathématique, November 2012, Cellule MathDoc/CEDRAM

    Professor Yong-Gao Chen

  33. On a problem of Erdős

    Article • The Ramanujan Journal, September 2012, Springer Science + Business Media

    Professor Yong-Gao Chen

  34. Signed sums of terms of a sequence

    Article • Proceedings of the American Mathematical Society, August 2012, American Mathematical Society (AMS)

    Professor Yong-Gao Chen

  35. Ruzsa’s constant on additive functions

    Article • Acta Mathematica Sinica English Series, July 2012, Springer Science + Business Media

    Professor Yong-Gao Chen

  36. On a problem of Erdős, Herzog and Schönheim

    Article • Discrete Applied Mathematics, July 2012, Elsevier

    Professor Yong-Gao Chen

  37. On the sum of distinct primes or squares of primes

    Article • Comptes Rendus Mathématique, July 2012, Cellule MathDoc/CEDRAM

    Professor Yong-Gao Chen

  38. Dynamics of Goldringʼs w-function

    Article • Journal of Number Theory, March 2012, Elsevier

    Professor Yong-Gao Chen

  39. ON ODD PERFECT NUMBERS

    Article • Bulletin of the Australian Mathematical Society, February 2012, Cambridge University Press

    Professor Yong-Gao Chen

  40. Remark on the completeness of an exponential type sequence

    Article • Acta Mathematica Hungarica, January 2012, Springer Science + Business Media

    Professor Yong-Gao Chen

  41. On a problem of Sierpiński

    Article • Acta Arithmetica, January 2012, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  42. Egyptian fractions with restrictions

    Article • Acta Arithmetica, January 2012, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  43. A generalization of the classical circle problem

    Article • Acta Arithmetica, January 2012, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  44. On a Problem of Nathanson Related to Minimal Additive Complements

    Article • SIAM Journal on Discrete Mathematics, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Professor Yong-Gao Chen

  45. On a problem of Cilleruelo and Nathanson

    Article • COMBINATORICA, December 2011, Springer Science + Business Media

    Professor Yong-Gao Chen

  46. On minimal asymptotic bases

    Article • European Journal of Combinatorics, November 2011, Elsevier

    Professor Yong-Gao Chen

  47. SUMSETS AND DIFFERENCE SETS CONTAINING A COMMON TERM OF A SEQUENCE

    Article • Bulletin of the Australian Mathematical Society, September 2011, Cambridge University Press

    Professor Yong-Gao Chen

  48. On a problem in additive number theory

    Article • Acta Mathematica Hungarica, September 2011, Springer Science + Business Media

    Professor Yong-Gao Chen

  49. THE CONGRUENT PROPERTIES FOR r s (n)

    Article • International Journal of Number Theory, September 2011, World Scientific Pub Co Pte Lt

    Professor Yong-Gao Chen

  50. On the values of representation functions

    Article • Science China Mathematics, June 2011, Springer Science + Business Media

    Professor Yong-Gao Chen

  51. The permutation of integers with small least common multiple of two subsequent terms

    Article • Acta Mathematica Hungarica, April 2011, Springer Science + Business Media

    Professor Yong-Gao Chen

  52. On the structure of the sumsets

    Article • Discrete Mathematics, March 2011, Elsevier

    Professor Yong-Gao Chen

  53. On additive complements. II

    Article • Proceedings of the American Mathematical Society, March 2011, American Mathematical Society (AMS)

    Professor Yong-Gao Chen

  54. Nonaliquot numbers

    Article • Publicationes Mathematicae Debrecen, February 2011, University of Debrecen/ Debreceni Egyetem

    Professor Yong-Gao Chen

  55. A quantitative Erdös–Fuchs theorem and its generalization

    Article • Acta Arithmetica, January 2011, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  56. Romanoff theorem in a sparse set

    Article • Science China Mathematics, April 2010, Springer Science + Business Media

    Professor Yong-Gao Chen

  57. Romanoff theorem in a sparse set

    Article • Science China Mathematics, April 2010, Springer Science + Business Media

    Professor Yong-Gao Chen

  58. The difference basis and bi-basis of Zm

    Article • Journal of Number Theory, March 2010, Elsevier

    Professor Yong-Gao Chen

  59. Sequences of integers with missing quotients

    Article • Discrete Mathematics, March 2010, Elsevier

    Professor Yong-Gao Chen

  60. On additive complements

    Article • Proceedings of the American Mathematical Society, February 2010, American Mathematical Society (AMS)

    Professor Yong-Gao Chen

  61. Partitions of natural numbers with the same representation functions

    Article • Journal of Number Theory, November 2009, Elsevier

    Professor Yong-Gao Chen

  62. Some extensions of a property of linear representation functions

    Article • Discrete Mathematics, November 2009, Elsevier

    Professor Yong-Gao Chen

  63. EIGHT CONSECUTIVE POSITIVE ODD NUMBERS NONE OF WHICH CAN BE EXPRESSED AS A SUM OF TWO PRIME POWERS

    Article • Bulletin of the Australian Mathematical Society, June 2009, Cambridge University Press

    Professor Yong-Gao Chen

  64. On the monotonicity properties of additive representation functions, II

    Article • Discrete Mathematics, April 2009, Elsevier

    Professor Yong-Gao Chen

  65. Five consecutive positive odd numbers none of which can be expressed as a sum of two prime powers II

    Article • Acta Mathematica Sinica English Series, November 2008, Springer Science + Business Media

    Professor Yong-Gao Chen

  66. The analogue of Erdős–Turán conjecture in Zm

    Article • Journal of Number Theory, September 2008, Elsevier

    Professor Yong-Gao Chen

  67. On a conjecture of Erdős, Graham and Spencer, II

    Article • Discrete Applied Mathematics, August 2008, Elsevier

    Professor Yong-Gao Chen

  68. Distribution of primes and dynamics of the w function

    Article • Journal of Number Theory, July 2008, Elsevier

    Professor Yong-Gao Chen

  69. Dynamics of the $w$ function and the Green-Tao theorem on arithmetic progressions in the primes

    Article • Proceedings of the American Mathematical Society, March 2008, American Mathematical Society (AMS)

    Professor Yong-Gao Chen

  70. Fermat numbers and integers of the form a k +a l +p α

    Article • Acta Arithmetica, January 2008, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  71. Davenport constant with weights and some related questions, II

    Article • Journal of Combinatorial Theory Series A, January 2008, Elsevier

    Professor Yong-Gao Chen

  72. On integers of the forms k±2n and

    Article • Journal of Number Theory, July 2007, Elsevier

    Professor Yong-Gao Chen

  73. On the parity of the partition function

    Article • Journal of Number Theory, February 2007, Elsevier

    Professor Yong-Gao Chen

  74. On the prime power factorization of n!, II

    Article • Journal of Number Theory, February 2007, Elsevier

    Professor Yong-Gao Chen

  75. On the Siegel–Tatuzawa–Hoffstein theorem

    Article • Acta Arithmetica, January 2007, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  76. Sequences with bounded l.c.m. of each pair of terms, III

    Article • Acta Arithmetica, January 2007, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  77. A problem on unique representation bases

    Article • European Journal of Combinatorics, January 2007, Elsevier

    Professor Yong-Gao Chen

  78. A basis of Z m , II

    Article • Colloquium Mathematicum, January 2007, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  79. On a conjecture of Erdős, Graham and Spencer

    Article • Journal of Number Theory, August 2006, Elsevier

    Professor Yong-Gao Chen

  80. On the exponents modulo 3 in the standard factorisation of n!

    Article • Bulletin of the Australian Mathematical Society, June 2006, Cambridge University Press

    Professor Yong-Gao Chen

  81. A basis of Z m

    Article • Colloquium Mathematicum, January 2006, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  82. Sequences with bounded l.c.m. of each pair of terms II

    Article • Acta Arithmetica, January 2006, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  83. On the monotonicity properties of additive representation functions

    Article • Bulletin of the Australian Mathematical Society, August 2005, Cambridge University Press

    Professor Yong-Gao Chen

  84. On additive properties of general sequences

    Article • Bulletin of the Australian Mathematical Society, June 2005, Cambridge University Press

    Professor Yong-Gao Chen

  85. On the rational cuboids with a given face

    Article • Journal of Number Theory, June 2005, Elsevier

    Professor Yong-Gao Chen

  86. On disjoint arithmetic progressions

    Article • Acta Arithmetica, January 2005, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  87. Blocks of consecutive integers in sumsets (A + B)t

    Article • Bulletin of the Australian Mathematical Society, October 2004, Cambridge University Press

    Professor Yong-Gao Chen

  88. Five consecutive positive odd numbers, none of which can be expressed as a sum of two prime powers

    Article • Mathematics of Computation, July 2004, American Mathematical Society (AMS)

    Professor Yong-Gao Chen

  89. On Romanoff's constant

    Article • Journal of Number Theory, June 2004, Elsevier

    Professor Yong-Gao Chen

  90. On a Class of Uniformly Distributed Sequences of Point Sets

    Article • Acta Mathematica Sinica English Series, June 2004, Springer Science + Business Media

    Professor Yong-Gao Chen

  91. On the average of the sum-of-a-divisors function

    Article • Colloquium Mathematicum, January 2004, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  92. On the parity of exponents in the standard factorization of n!

    Article • Journal of Number Theory, June 2003, Elsevier

    Professor Yong-Gao Chen

  93. On integers of the forms kr−2n and kr2n+1

    Article • Journal of Number Theory, February 2003, Elsevier

    Professor Yong-Gao Chen

  94. On subset sums of a fixed set

    Article • Acta Arithmetica, January 2003, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  95. Visibility of lattice points

    Article • Acta Arithmetica, January 2003, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  96. On a question regarding visibility of lattice points—III

    Article • Discrete Mathematics, December 2002, Elsevier

    Professor Yong-Gao Chen

  97. On a Function Related to Multinomial Coefficients (I)

    Article • Acta Mathematica Sinica English Series, October 2002, Springer Science + Business Media

    Professor Yong-Gao Chen

  98. Prime values of reducible polynomials, II

    Article • Acta Arithmetica, January 2002, Institute of Mathematics, Polish Academy of Sciences

    Professor Yong-Gao Chen

  99. On Integers of the Forms k−2n and k2n+1

    Article • Journal of Number Theory, July 2001, Elsevier

    Professor Yong-Gao Chen

  100. On sums and intersects of sequences

    Article • Discrete Mathematics, August 2000, Elsevier

    Professor Yong-Gao Chen

  101. On the Prime Power Factorization of n!

    Article • Journal of Number Theory, May 2000, Elsevier

    Professor Yong-Gao Chen

  102. Distinct subset sums and an inequality for convex functions

    Article • Proceedings of the American Mathematical Society, April 2000, American Mathematical Society (AMS)

    Professor Yong-Gao Chen

  103. Euler's Formula for ζ(2k), Proved by Induction on k

    Article • Mathematics Magazine, April 2000, JSTOR

    Professor Yong-Gao Chen

  104. The View-Obstruction Problem forn-Dimensional Cubes

    Article • Journal of Number Theory, January 1999, Elsevier

    Professor Yong-Gao Chen

  105. On m-harmonic sequences

    Article • Discrete Mathematics, December 1996, Elsevier

    Professor Yong-Gao Chen

  106. View-obstruction problems and Kronecker’s theorem

    Article • Proceedings of the American Mathematical Society, November 1995, American Mathematical Society (AMS)

    Professor Yong-Gao Chen

  107. View-Obstruction Problems and Kronecker's Theorem

    Article • Proceedings of the American Mathematical Society, November 1995, JSTOR

    Professor Yong-Gao Chen

  108. The View-Obstruction Problem for 4-Dimensional Spheres

    Article • American Journal of Mathematics, December 1994, JSTOR

    Professor Yong-Gao Chen

  109. The view-obstruction problem for 3-dimensional spheres

    Article • Acta Mathematica Sinica English Series, June 1994, Springer Science + Business Media

    Professor Yong-Gao Chen

  110. On a conjecture in Diophantine approximations III

    Article • Journal of Number Theory, September 1991, Elsevier

    Professor Yong-Gao Chen

  111. On a conjecture in diophantine approximations, II

    Article • Journal of Number Theory, February 1991, Elsevier

    Professor Yong-Gao Chen