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  1. Plane Partitions and Divisors

    Article • Symmetry, December 2023, MDPI AG

    Dr. Mircea Merca

  2. Plane Partitions and a Problem of Josephus

    Article • Mathematics, December 2023, MDPI AG

    Dr. Mircea Merca

  3. n-Color Partitions into Distinct Parts as Sums over Partitions

    Article • Symmetry, November 2023, MDPI AG

    Dr. Mircea Merca

  4. Plane Partitions as Sums over Partitions

    Article • Symmetry, September 2023, MDPI AG

    Dr. Mircea Merca

  5. Additive evaluations of the number of divisors

    Article • The Ramanujan Journal, September 2023, Springer Science + Business Media

    Dr. Mircea Merca

  6. A q-Series Congruence Inspired by Andrews and Ramanujan

    Article • Axioms, May 2023, MDPI AG

    Dr. Mircea Merca

  7. 4-regular partitions and the pod function

    Article • Quaestiones Mathematicae, February 2023, Informa UK Limited

    Dr. Mircea Merca

  8. From Symmetric Functions to Partition Identities

    Article • Axioms, January 2023, MDPI AG

    Dr. Mircea Merca

  9. A reversal of Schur’s partition theorem

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, September 2022, Springer Science + Business Media

    Dr. Mircea Merca

  10. Dyson’s crank and unimodal compositions

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, September 2022, Springer Science + Business Media

    Dr. Mircea Merca

  11. Families of Ramanujan-Type Congruences Modulo 4 for the Number of Divisors

    Article • Axioms, July 2022, MDPI AG

    Dr. Mircea Merca

  12. On Ramanujan-type congruences for multiplicative functions

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, June 2022, Springer Science + Business Media

    Dr. Mircea Merca

  13. Generalizations of Stanley’s Theorem: Combinatorial Proofs and Related Inequalities

    Article • Mediterranean Journal of Mathematics, January 2022, Springer Science + Business Media

    Dr. Mircea Merca

  14. Connections Between Partitions and Divisors Related to the Parity of the Partition Function

    Article • College Mathematics Journal, November 2021, Taylor & Francis

    Dr. Mircea Merca

  15. Distinct partitions and overpartitions

    Article • Carpathian Journal of Mathematics, November 2021, Technical University of Cluj Napoca, North University Center of Baia Mare

    Dr. Mircea Merca

  16. A further look at cubic partitions

    Article • The Ramanujan Journal, November 2021, Springer Science + Business Media

    Dr. Mircea Merca

  17. Alignments of permutations: their number, mean number, and total number of cycles

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, October 2021, Springer Science + Business Media

    Dr. Mircea Merca

  18. A further look at a generalization of Waring’s formula

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, September 2021, Springer Science + Business Media

    Dr. Mircea Merca

  19. On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts

    Article • Quaestiones Mathematicae, September 2021, Informa UK Limited

    Dr. Mircea Merca

  20. Almost 3-regular overpartitions

    Article • The Ramanujan Journal, July 2021, Springer Science + Business Media

    Dr. Mircea Merca

  21. On a nonlinear relation for computing the overpartition function

    Article • Mathematica Slovaca, June 2021, De Gruyter

    Dr. Mircea Merca

  22. Linear inequalities concerning partitions into distinct parts

    Article • The Ramanujan Journal, April 2021, Springer Science + Business Media

    Dr. Mircea Merca

  23. Combinatorial proof of the minimal excludant theorem

    Article • International Journal of Number Theory, February 2021, World Scientific Pub Co Pte Lt

    Dr. Mircea Merca

  24. On the number of partitions into parts not congruent to 0, $$\pm 3 \pmod {12}$$

    Article • Periodica Mathematica Hungarica, February 2021, Springer Science + Business Media

    Dr. Mircea Merca

  25. Generalized Lambert Series and Euler’s Pentagonal Number Theorem

    Article • Mediterranean Journal of Mathematics, January 2021, Springer Science + Business Media

    Dr. Mircea Merca

  26. Rank partition functions and truncated theta identities

    Article • Applicable Analysis and Discrete Mathematics, January 2021, National Library of Serbia

    Dr. Mircea Merca

  27. A Theta Identity of Gauss Connecting Functions from Additive and Multiplicative Number Theory

    Article • January 2021, Springer Science + Business Media

    Dr. Mircea Merca

  28. Infinite Product Formulae for Generating Functions for Sequences of Squares

    Article • January 2021, Springer Science + Business Media

    Dr. Mircea Merca

  29. ON THE SUM OF PARTS IN THE PARTITIONS OF n INTO DISTINCT PARTS

    Article • Bulletin of the Australian Mathematical Society, December 2020, Cambridge University Press

    Dr. Mircea Merca

  30. The reciprocal of $$(q;q)_n$$ as sums over partitions

    Article • The Ramanujan Journal, October 2020, Springer Science + Business Media

    Dr. Mircea Merca

  31. The powers of two as sums over partitions

    Article • Quaestiones Mathematicae, October 2020, Informa UK Limited

    Dr. Mircea Merca

  32. On the sum of parts with multiplicity at least 2 in all the partitions of n

    Article • International Journal of Number Theory, October 2020, World Scientific Pub Co Pte Lt

    Dr. Mircea Merca

  33. Polygonal numbers and Rogers–Ramanujan–Gordon theorem

    Article • The Ramanujan Journal, June 2020, Springer Science + Business Media

    Dr. Mircea Merca

  34. q-Series congruences involving statistical mechanics partition functions in regime III and IV of Baxter’s solution of the hard-hexagon model

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, June 2020, Springer Science + Business Media

    Dr. Mircea Merca

  35. On the partitions into distinct parts and odd parts

    Article • Quaestiones Mathematicae, June 2020, Informa UK Limited

    Dr. Mircea Merca

  36. The r-Stirling numbers of the first kind in terms of the Möbius function

    Article • The Ramanujan Journal, May 2020, Springer Science + Business Media

    Dr. Mircea Merca

  37. On the Number of Even Parts in All Partitions of $$\varvec{n}$$ into Distinct Parts

    Article • Annals of Combinatorics, January 2020, Springer Science + Business Media

    Dr. Mircea Merca

  38. Bernoulli numbers and symmetric functions

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, December 2019, Springer Science + Business Media

    Dr. Mircea Merca

  39. Combinatorial proofs of two theorems related to the number of even parts in all partitions of n into distinct parts

    Article • The Ramanujan Journal, October 2019, Springer Science + Business Media

    Dr. Mircea Merca

  40. On identities of Watson type

    Article • Ars Mathematica Contemporanea, October 2019, University of Primorska Press

    Dr. Mircea Merca

  41. A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts

    Article • October 2019, Springer Science + Business Media

    Dr. Mircea Merca

  42. A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts

    Article • Annals of Combinatorics, October 2019, Springer Science + Business Media

    Dr. Mircea Merca

  43. On Two Truncated Quintuple Series Theorems

    Article • Experimental Mathematics, September 2019, Taylor & Francis

    Dr. Mircea Merca

  44. A general method for proving the non-trivial linear homogeneous partition inequalities

    Article • The Ramanujan Journal, May 2019, Springer Science + Business Media

    Dr. Mircea Merca

  45. Bisected theta series, least r-gaps in partitions, and polygonal numbers

    Article • The Ramanujan Journal, May 2019, Springer Science + Business Media

    Dr. Mircea Merca

  46. Two Symmetric Identities Involving Complete and Elementary Symmetric Functions

    Article • Bulletin of the Malaysian Mathematical Sciences Society, April 2019, Springer Science + Business Media

    Dr. Mircea Merca

  47. Some notes on the(q,t)-Stirling numbers

    Article • Discrete Mathematics, March 2019, Elsevier

    Dr. Mircea Merca

  48. Factorization theorems for generalized Lambert series and applications

    Article • The Ramanujan Journal, February 2019, Springer Science + Business Media

    Dr. Mircea Merca

  49. Jacobi’s Four and Eight Squares Theorems and Partitions into Distinct Parts

    Article • Mediterranean Journal of Mathematics, February 2019, Springer Science + Business Media

    Dr. Mircea Merca

  50. Truncated Theta Series and Rogers-Ramanujan Functions

    Article • Experimental Mathematics, January 2019, Taylor & Francis

    Dr. Mircea Merca

  51. A family of lacunary recurrences for Fibonacci numbers

    Article • Miskolc Mathematical Notes, January 2019, Mathematical Notes

    Dr. Mircea Merca

  52. A Partition Identity Related to Stanley’s Theorem

    Article • American Mathematical Monthly, November 2018, Taylor & Francis

    Dr. Mircea Merca

  53. Combinatorial proofs of two truncated theta series theorems

    Article • Journal of Combinatorial Theory Series A, November 2018, Elsevier

    Dr. Mircea Merca

  54. Euler–Riemann Zeta Function and Chebyshev–Stirling Numbers of the First Kind

    Article • Mediterranean Journal of Mathematics, May 2018, Springer Science + Business Media

    Dr. Mircea Merca

  55. The partition function p(n) in terms of the classical Möbius function

    Article • The Ramanujan Journal, March 2018, Springer Science + Business Media

    Dr. Mircea Merca

  56. New Connections Between Functions from Additive and Multiplicative Number Theory

    Article • Mediterranean Journal of Mathematics, February 2018, Springer Science + Business Media

    Dr. Mircea Merca

  57. Truncated theta series and a problem of Guo and Zeng

    Article • Journal of Combinatorial Theory Series A, February 2018, Elsevier

    Dr. Mircea Merca

  58. An infinite sequence of inequalities involving special values of the Riemann zeta function

    Article • Mathematical Inequalities & Applications, January 2018, Element d.o.o.

    Dr. Mircea Merca

  59. A $q$-analogue for sums of powers

    Article • Acta Arithmetica, January 2018, Institute of Mathematics, Polish Academy of Sciences

    Dr. Mircea Merca

  60. Generalizations of two identities of Guo and Yang

    Article • Quaestiones Mathematicae, November 2017, Taylor & Francis

    Dr. Mircea Merca

  61. Lambert series and conjugacy classes inGL

    Article • Discrete Mathematics, September 2017, Elsevier

    Dr. Mircea Merca

  62. New relations for the number of partitions with distinct even parts

    Article • Journal of Number Theory, July 2017, Elsevier

    Dr. Mircea Merca

  63. Binomial transforms and integer partitions into parts of k different magnitudes

    Article • The Ramanujan Journal, June 2017, Springer Science + Business Media

    Dr. Mircea Merca

  64. The Riemann Zeta Function With Even Arguments as Sums Over Integer Partitions

    Article • American Mathematical Monthly, June 2017, Taylor & Francis

    Dr. Mircea Merca

  65. On the number of partitions into parts of

    Article • Discrete Mathematics, April 2017, Elsevier

    Dr. Mircea Merca

  66. Inequalities involving the generating function for the number of partitions into odd parts

    Article • Quaestiones Mathematicae, March 2017, Taylor & Francis

    Dr. Mircea Merca

  67. On the Arithmetic Mean of the Square Roots of the First n Positive Integers

    Article • College Mathematics Journal, March 2017, Taylor & Francis

    Dr. Mircea Merca

  68. The Lambert series factorization theorem

    Article • The Ramanujan Journal, January 2017, Springer Science + Business Media

    Dr. Mircea Merca

  69. New convolutions for the number of divisors

    Article • Journal of Number Theory, January 2017, Elsevier

    Dr. Mircea Merca

  70. On families of linear recurrence relations for the special values of the Riemann zeta function

    Article • Journal of Number Theory, January 2017, Elsevier

    Dr. Mircea Merca

  71. New recurrences for Euler''s partition function

    Article • TURKISH JOURNAL OF MATHEMATICS, January 2017, The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM)

    Dr. Mircea Merca

  72. Finite differences of Euler's zeta function

    Article • Miskolc Mathematical Notes, January 2017, Mathematical Notes

    Dr. Mircea Merca

  73. From a Rogers’s identity to overpartitions

    Article • Periodica Mathematica Hungarica, November 2016, Springer Science + Business Media

    Dr. Mircea Merca

  74. Parity of sums of partition numbers and squares in arithmetic progressions

    Article • The Ramanujan Journal, November 2016, Springer Science + Business Media

    Dr. Mircea Merca

  75. New convolutions for complete and elementary symmetric functions

    Article • Integral Transforms and Special Functions, September 2016, Taylor & Francis

    Dr. Mircea Merca

  76. Fast computation of the partition function

    Article • Journal of Number Theory, July 2016, Elsevier

    Dr. Mircea Merca

  77. A note on the partitions involving parts of k different magnitudes

    Article • Journal of Number Theory, May 2016, Elsevier

    Dr. Mircea Merca

  78. Connections between central factorial numbers and Bernoulli polynomials

    Article • Periodica Mathematica Hungarica, April 2016, Springer Science + Business Media

    Dr. Mircea Merca

  79. The cardinal sine function and the Chebyshev–Stirling numbers

    Article • Journal of Number Theory, March 2016, Elsevier

    Dr. Mircea Merca

  80. Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer

    Article • Journal of Number Theory, March 2016, Elsevier

    Dr. Mircea Merca

  81. Padovan numbers as sums over partitions into odd parts

    Article • Journal of Inequalities and Applications, January 2016, Springer Science + Business Media

    Dr. Mircea Merca

  82. Stirling numbers and integer partitions

    Article • Quaestiones Mathematicae, December 2015, Taylor & Francis

    Dr. Mircea Merca

  83. Asymptotics of the Chebyshev–Stirling numbers of the first kind

    Article • Integral Transforms and Special Functions, December 2015, Taylor & Francis

    Dr. Mircea Merca

  84. The bisectional pentagonal number theorem

    Article • Journal of Number Theory, December 2015, Elsevier

    Dr. Mircea Merca

  85. Augmented monomials in terms of power sums

    Article • SpringerPlus, November 2015, Springer Science + Business Media

    Dr. Mircea Merca

  86. A connection between Jacobi–Stirling numbers and Bernoulli polynomials

    Article • Journal of Number Theory, June 2015, Elsevier

    Dr. Mircea Merca

  87. A new look on the generating function for the number of divisors

    Article • Journal of Number Theory, April 2015, Elsevier

    Dr. Mircea Merca

  88. An Alternative to Faulhaber's Formula

    Article • American Mathematical Monthly, January 2015, Mathematical Association of America

    Dr. Mircea Merca

  89. A double inequality involving Erdős-Borwein constants

    Article • Miskolc Mathematical Notes, January 2015, Mathematical Notes

    Dr. Mircea Merca

  90. New upper bounds for the number of partitions into a given number of parts

    Article • Journal of Number Theory, September 2014, Elsevier

    Dr. Mircea Merca

  91. Some experiments with complete and elementary symmetric functions

    Article • Periodica Mathematica Hungarica, August 2014, Springer Science + Business Media

    Dr. Mircea Merca

  92. A new connection betweenr-Whitney numbers and Bernoulli polynomials

    Article • Integral Transforms and Special Functions, July 2014, Taylor & Francis

    Dr. Mircea Merca

  93. A generalization of Euler’s pentagonal number recurrence for the partition function

    Article • The Ramanujan Journal, June 2014, Springer Science + Business Media

    Dr. Mircea Merca

  94. A generalization of the symmetry between complete and elementary symmetric functions

    Article • Indian Journal of Pure and Applied Mathematics, February 2014, Springer Science + Business Media

    Dr. Mircea Merca

  95. A Note on q-Stirling Numbers

    Article • January 2014, Springer Science + Business Media

    Dr. Mircea Merca

  96. On Some Power Sums of Sine or Cosine

    Article • American Mathematical Monthly, January 2014, Mathematical Association of America

    Dr. Mircea Merca

  97. Analytic Number Theory, Approximation Theory, and Special Functions

    Article • January 2014, Springer Science + Business Media

    Dr. Mircea Merca, Gradimir Milovanovic

  98. A note on the Jacobi–Stirling numbers

    Article • Integral Transforms and Special Functions, September 2013, Taylor & Francis

    Dr. Mircea Merca

  99. A note on the r-Whitney numbers of Dowling lattices

    Article • Comptes Rendus Mathématique, September 2013, Elsevier

    Dr. Mircea Merca

  100. A note on the determinant of a Toeplitz-Hessenberg matrix

    Article • Special Matrices, January 2013, De Gruyter Open Sp. z o.o.

    Dr. Mircea Merca

  101. A convolution for complete and elementary symmetric functions

    Article • Aequationes Mathematicae, December 2012, Springer Science + Business Media

    Dr. Mircea Merca

  102. The truncated pentagonal number theorem

    Article • Journal of Combinatorial Theory Series A, November 2012, Elsevier

    Dr. Mircea Merca

  103. Binary Diagrams for Storing Ascending Compositions

    Article • The Computer Journal, August 2012, Oxford University Press (OUP)

    Dr. Mircea Merca

  104. Fast Algorithm for Generating Ascending Compositions

    Article • Journal of Mathematical Modelling and Algorithms, December 2011, Springer Science + Business Media

    Dr. Mircea Merca