Mircea Merca

Universitatea din Craiova, Craiova, .

E-mail: trimite un mesaj.

Pagina web a instituţiei: http://math.ucv.ro
Pagina web personala: http://mirceamerca.wix.com/prof

Urmareste linkul ResearcherID pentru toate articolele cercetatorului: K-5920-2012. Tabelul detaliat al articolelor este in josul paginii.

Nascut(a) in: 1969

Interese: teoria numerelor, combinatorica

Details:
My research centers on the theory of partitions and related areas. For a summary of my research, please see my web site.

Publicații selectate:

* Mircea Merca, On families of linear recurrence relations for the special values of the Riemann zeta function, Journal of Number Theory, 170, 2017.

* Cristina Ballantine; Mircea Merca, New convolutions for the number of divisors, Journal of Number Theory, 170, 2017.

* M. Merca, Stirling numbers and integer partitions, Quaestiones Mathematicae, 39, 2016.

* M. Merca, An Alternative to Faulhaber's Formula, American Mathematical Monthly, 122(6), 2015.

* M. Merca, A connection between Jacobi-Stirling numbers and Bernoulli polynomials, Journal of Number Theory, 151, 2015.

* M. Merca, A new look on the generating function for the number of divisors, Journal of Number Theory, 149, 2015.

* M. Merca, A new connection between r-Whitney numbers and Bernoulli polynomials, Integral Transforms and Special Functions, 25(12), 2014.

* M. Merca, Some experiments with complete and elementary symmetric functions, Periodica Mathematica Hungarica, 69(2), 2014.

* M. Merca, New upper bounds for the number of partitions into a given number of parts, Journal of Number Theory, 142, 2014.

* M. Merca, An infinite family of inequalities involving cosecant sums, Gazeta Matematica Seria A, 32(1-2), 2014.

* M. Merca, A note on the r-Whitney numbers of Dowling lattices, Comptes Rendus Mathematique, 351(17-18), 2013.

* M. Merca, A note on the Jacobi-Stirling numbers, Integral Transforms and Special Functions, 25(3), 2014.

* M. Merca, A note on q-Stirling numbers, Springer New York, G. V. Milanovic, M. Th. Rassias, Analytic Number Theory, Approximation Theory, 2014.

* M. Merca, A note on the determinant of a Toeplitz-Hessenberg matrix, Special Matrices, 1, 2013.

* M. Merca, A generalization of the symmetry between complete and elementary symmetric functions, Indian Journal of Pure and Applied Mathematics, 45(1), 2014.

* M. Merca, Integer partitions and directed acyclic graphs, Gazeta Matematica Seria A, 31, 2013.

* M. Merca, A convolution for complete and elementary symmetric functions, Aequationes Mathematicae, 86(3), 2013.

* M. Merca, On some power sums of sine or cosine, American Mathematical Monthly, 121(3), 2014.

* M. Merca, On a trigonometrical sum, Gazeta Matematica Seria B, 117(9), 2012.

* M. Merca, T. Tanriverdi, An Asymptotic Formula of Cosine Power Sums, Le Matematiche, 68(1), 2013.

* M. Merca, Binary Diagrams for Storing Ascending Compositions, The Computer Journal, 56(11), 2013.

* M. Merca, A Special Case of the Generalized Girard-Waring Formula, Journal of Integer Sequences, 15 (5), 2012.

* G.E. Andrews, M. Merca, The truncated pentagonal number theorem, Journal of Combinatorial Theory, Series A, 119(8), 2012.

* M. Merca, A Note on Cosine Power Sums, Journal of Integer Sequences, 15 (5), 2012.

* M. Merca, Fast Algorithm for Generating Ascending Compositions, Journal of Mathematical Modelling and Algorithms, 11(1), 2012.

* M. Merca, Inequalities and Identities Involving Sums of Integer Functions, Journal of Integer Sequences, 14 (9), 2011.