Edit Profile (opens in new tab) Merca, Mircea Co-Author Distance Author ID: merca.mircea Published as: Merca, Mircea Homepage: https://mirceamerca.wixsite.com/prof External Links: MGP · ORCID · ResearchGate · dblp Documents Indexed: 130 Publications since 2011, including 5 Additional arXiv Preprints Reviewing Activity: 180 Reviews Co-Authors: 12 Co-Authors with 41 Joint Publications 407 Co-Co-Authors all top 5 Co-Authors 89 single-authored 23 Ballantine, Cristina M. 7 Schmidt, Maxie Dion 4 Andrews, George Eyre 3 Yee, Ae Ja 2 Radu, Cristian-Silviu 1 Ahmia, Moussa 1 Craig, William 1 Katriel, Jacob 1 Krattenthaler, Christian Friedrich 1 Passary, Donny 1 Tanriverdi, Tanfer 1 Wang, Chun all top 5 Serials 16 The Ramanujan Journal 11 Journal of Number Theory 8 Quaestiones Mathematicae 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Mediterranean Journal of Mathematics 5 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 4 American Mathematical Monthly 4 Periodica Mathematica Hungarica 4 Journal of Combinatorial Theory. Series A 4 Integral Transforms and Special Functions 4 Contributions to Discrete Mathematics 3 Discrete Mathematics 3 Journal of Integer Sequences 3 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science 3 Miskolc Mathematical Notes 2 Experimental Mathematics 2 Annals of Combinatorics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Carpathian Journal of Mathematics 2 International Journal of Number Theory 2 The College Mathematics Journal 2 Gazeta Matematică. Seria A 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Acta Arithmetica 1 Ars Combinatoria 1 Le Matematiche 1 Mathematica Slovaca 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Aequationes Mathematicae 1 Turkish Journal of Mathematics 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Séminaire Lotharingien de Combinatoire 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 Applicable Analysis and Discrete Mathematics 1 Ars Mathematica Contemporanea 1 Special Matrices 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences all top 5 Fields 116 Number theory (11-XX) 111 Combinatorics (05-XX) 7 Special functions (33-XX) 6 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Mathematics education (97-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 654 times in 276 Documents Cited by ▼ Year ▼ The truncated pentagonal number theorem. Zbl 1246.05014 Andrews, George E.; Merca, Mircea 67 2012 Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015 Andrews, George E.; Merca, Mircea 44 2018 A note on the determinant of a Toeplitz-Hessenberg matrix. Zbl 1291.15015 Merca, Mircea 31 2013 Fast algorithm for generating ascending compositions. Zbl 1382.11096 Merca, Mircea 25 2012 A note on the \(r\)-Whitney numbers of Dowling lattices. Zbl 1277.05167 Merca, Mircea 18 2013 A generalization of the symmetry between complete and elementary symmetric functions. Zbl 1308.05104 Merca, Mircea 16 2014 A new look on the truncated pentagonal number theorem. Zbl 1389.05006 Merca, Mircea 16 2016 A truncated theta identity of Gauss and overpartitions into odd parts. Zbl 1448.11181 Merca, Mircea; Wang, Chun; Yee, Ae Ja 16 2019 Padovan numbers as sums over partitions into odd parts. Zbl 1328.05010 Ballantine, Cristina; Merca, Mircea 15 2016 A new connection between \(r\)-Whitney numbers and Bernoulli polynomials. Zbl 1379.11024 Merca, Mircea 14 2014 The Lambert series factorization theorem. Zbl 1393.11066 Merca, Mircea 14 2017 A convolution for complete and elementary symmetric functions. Zbl 1278.05242 Merca, Mircea 14 2013 Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer. Zbl 1396.11123 Merca, Mircea 13 2016 Truncated theta series and Rogers-Ramanujan functions. Zbl 1482.05017 Merca, Mircea 13 2021 A new look on the generating function for the number of divisors. Zbl 1371.11140 Merca, Mircea 12 2015 Combinatorial proofs of two truncated theta series theorems. Zbl 1394.05006 Ballantine, Cristina; Merca, Mircea; Passary, Donny; Yee, Ae Ja 12 2018 A general method for proving the non-trivial linear homogeneous partition inequalities. Zbl 1434.05014 Merca, Mircea; Katriel, Jacob 11 2020 On the number of even parts in all partitions of \(n\) into distinct parts. Zbl 1473.11190 Andrews, George E.; Merca, Mircea 11 2020 A connection between Jacobi-Stirling numbers and Bernoulli polynomials. Zbl 1307.11028 Merca, Mircea 10 2015 A note on the Jacobi-Stirling numbers. Zbl 1280.05133 Merca, Mircea 10 2014 Parity of sums of partition numbers and squares in arithmetic progressions. Zbl 1379.05004 Ballantine, Cristina; Merca, Mircea 9 2017 Asymptotics of the Chebyshev-Stirling numbers of the first kind. Zbl 1339.05023 Merca, Mircea 9 2016 Combinatorial proof of the minimal excludant theorem. Zbl 1494.11080 Ballantine, Cristina; Merca, Mircea 9 2021 New relations for the number of partitions with distinct even parts. Zbl 1386.11110 Merca, Mircea 8 2017 On the sum of parts with multiplicity at least \(2\) in all the partitions of \(n\). Zbl 1470.11265 Merca, Mircea; Yee, Ae Ja 8 2021 A note on cosine power sums. Zbl 1285.33001 Merca, Mircea 8 2012 From a Rogers’s identity to overpartitions. Zbl 1413.11116 Merca, Mircea 7 2017 On some power sums of sine or cosine. Zbl 1300.33002 Merca, Mircea 7 2014 Connections between central factorial numbers and Bernoulli polynomials. Zbl 1389.11056 Merca, Mircea 7 2016 A note on the partitions involving parts of \(k\) different magnitudes. Zbl 1329.05023 Merca, Mircea 7 2016 Fast computation of the partition function. Zbl 1333.05031 Merca, Mircea 7 2016 The minimal excludant and colored partitions. Zbl 1447.05021 Ballantine, Cristina; Merca, Mircea 7 2020 New convolutions for complete and elementary symmetric functions. Zbl 1352.05185 Merca, Mircea 6 2016 On two truncated quintuple series theorems. Zbl 1512.11031 Merca, Mircea 6 2022 Polygonal numbers and Rogers-Ramanujan-Gordon theorem. Zbl 1485.11147 Merca, Mircea 6 2021 On identities of Watson type. Zbl 1433.05029 Ballantine, Cristina; Merca, Mircea 6 2019 A partition identity related to Stanley’s theorem. Zbl 1401.05031 Merca, Mircea; Schmidt, Maxie D. 6 2018 New upper bounds for the number of partitions into a given number of parts. Zbl 1300.05035 Merca, Mircea 5 2014 Linear inequalities concerning partitions into distinct parts. Zbl 1497.05012 Merca, Mircea 5 2022 Generating special arithmetic functions by Lambert series factorizations. Zbl 1470.11008 Merca, Mircea; Schmidt, Maxie Dion 5 2019 New convolutions for the number of divisors. Zbl 1344.05017 Ballantine, Cristina; Merca, Mircea 5 2017 Bisected theta series, least \(r\)-gaps in partitions, and polygonal numbers. Zbl 1439.05023 Ballantine, Cristina; Merca, Mircea 5 2020 Generalizations of two identities of Guo and Yang. Zbl 1395.05185 Merca, Mircea 5 2018 A special case of the generalized Girard-Waring formula. Zbl 1292.05261 Merca, Mircea 5 2012 The partition function \(p(n)\) in terms of the classical Möbius function. Zbl 1464.11008 Merca, Mircea; Schmidt, Maxie D. 5 2019 Higher-order differences and higher-order partial sums of Euler’s partition function. Zbl 1438.05017 Merca, Mircea 5 2018 An infinite sequence of inequalities involving special values of the Riemann zeta function. Zbl 1401.11122 Merca, Mircea 4 2018 New connections between functions from additive and multiplicative number theory. Zbl 1457.11139 Merca, Mircea 4 2018 A generalization of Euler’s pentagonal number recurrence for the partition function. Zbl 1320.05011 Merca, Mircea 4 2015 Factorization theorems for generalized Lambert series and applications. Zbl 1458.11008 Merca, Mircea; Schmidt, Maxie D. 4 2020 On the sum of parts in the partitions of \(n\) into distinct parts. Zbl 1479.11177 Merca, Mircea 4 2021 Bernoulli numbers and symmetric functions. Zbl 1432.05116 Merca, Mircea 4 2020 An alternative to Faulhaber’s formula. Zbl 1358.11043 Merca, Mircea 3 2015 On the Song recurrence relation for the Riemann zeta function. Zbl 1389.11055 Merca, Mircea 3 2016 On the number of partitions into parts of \(k\) different magnitudes. Zbl 1355.05038 Merca, Mircea 3 2017 The bisectional pentagonal number theorem. Zbl 1326.11061 Merca, Mircea 3 2015 On the partitions into distinct parts and odd parts. Zbl 1483.11226 Merca, Mircea 3 2021 On the number of partitions into parts not congruent to \(0, \pm 3\pmod{12}\). Zbl 1499.11305 Merca, Mircea 3 2021 Inequalities involving the generating function for the number of partitions into odd parts. Zbl 1423.05027 Ballantine, Cristina; Merca, Mircea 3 2017 A further look at a complete characterization of Ramanujan-type congruences modulo 16 for overpartitions. Zbl 1463.11150 Merca, Mircea 3 2019 On a combinatorial interpretation of the bisectional pentagonal number theorem. Zbl 1448.05013 Merca, Mircea 3 2019 Generalized Lambert series and Euler’s pentagonal number theorem. Zbl 1467.11087 Merca, Mircea 3 2021 On families of linear recurrence relations for the special values of the Riemann zeta function. Zbl 1408.11013 Merca, Mircea 3 2017 Combinatorial proofs of two theorems related to the number of even parts in all partitions of \(n\) into distinct parts. Zbl 1462.05027 Ballantine, Cristina; Merca, Mircea 3 2021 A further look at cubic partitions. Zbl 1504.11108 Merca, Mircea 3 2022 On the arithmetic mean of the square roots of the first \(n\) positive integers. Zbl 1443.97035 Merca, Mircea 3 2017 The Riemann zeta function with even arguments as sums over integer partitions. Zbl 1391.11099 Merca, Mircea 3 2017 On lacunary recurrences with gaps of length four and eight for the Bernoulli numbers. Zbl 1441.11038 Merca, Mircea 3 2019 A note on \(q\)-Stirling numbers. Zbl 1362.11033 Merca, Mircea 2 2014 The cardinal sine function and the Chebyshev-Stirling numbers. Zbl 1343.40001 Merca, Mircea 2 2016 New recurrences for Euler’s partition function. Zbl 1424.11148 Merca, Mircea 2 2017 Almost 3-regular overpartitions. Zbl 1497.11251 Ballantine, Cristina; Merca, Mircea 2 2022 Overpartitions and functions from multiplicative number theory. Zbl 1513.11172 Merca, Mircea 2 2021 Congruence identities involving sums of odd divisors function. Zbl 1499.11018 Merca, Mircea 2 2021 Inequalities and identities involving sums of integer functions. Zbl 1278.11019 Merca, Mircea 1 2011 Lambert series and conjugacy classes in \(\mathrm{GL}\). Zbl 1365.05024 Merca, Mircea 1 2017 Some experiments with complete and elementary symmetric functions. Zbl 1340.11025 Merca, Mircea 1 2014 On a nonlinear relation for computing the overpartition function. Zbl 1479.05024 Merca, Mircea 1 2021 Generalizations of Stanley’s theorem: combinatorial proofs and related inequalities. Zbl 1480.05006 Ballantine, Cristina; Merca, Mircea 1 2022 Distinct partitions and overpartitions. Zbl 07752808 Merca, Mircea 1 2022 \(q\)-series congruences involving statistical mechanics partition functions in regime III and IV of Baxter’s solution of the hard-hexagon model. Zbl 1451.11109 Merca, Mircea 1 2020 The powers of two as sums over partitions. Zbl 1486.11123 Merca, Mircea 1 2021 On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts. Zbl 1511.11086 Merca, Mircea 1 2022 Overpartitions as sums over partitions. Zbl 1513.11171 Merca, Mircea 1 2021 A reversal of Schur’s partition theorem. Zbl 1496.05009 Merca, Mircea 1 2022 Dyson’s crank and unimodal compositions. Zbl 1504.11107 Ballantine, Cristina; Merca, Mircea 1 2022 The \(r\)-Stirling numbers of the first kind in terms of the Möbius function. Zbl 1512.11028 Ballantine, Cristina; Merca, Mircea 1 2021 A family of lacunary recurrences for Fibonacci numbers. Zbl 1449.11024 Ballantine, Cristina; Merca, Mircea 1 2019 Connections between partitions and divisors related to the parity of the partition function. Zbl 1505.97009 Merca, Mircea 1 2022 Ramanujan-type congruences modulo 4 for partitions into distinct parts. Zbl 1524.11185 Merca, Mircea 1 2022 An asymptotic formula of cosine power sums. Zbl 1282.33002 Merca, Mircea; Tanriverdi, Tanfer 1 2013 A \(q\)-analogue for sums of powers. Zbl 1400.05031 Merca, Mircea 1 2018 Stirling numbers and integer partitions. Zbl 1423.11060 Merca, Mircea 1 2016 Rank partition functions and truncated theta identities. Zbl 07817599 Merca, Mircea 1 2023 Rank partition functions and truncated theta identities. Zbl 07817599 Merca, Mircea 1 2023 On two truncated quintuple series theorems. Zbl 1512.11031 Merca, Mircea 6 2022 Linear inequalities concerning partitions into distinct parts. Zbl 1497.05012 Merca, Mircea 5 2022 A further look at cubic partitions. Zbl 1504.11108 Merca, Mircea 3 2022 Almost 3-regular overpartitions. Zbl 1497.11251 Ballantine, Cristina; Merca, Mircea 2 2022 Generalizations of Stanley’s theorem: combinatorial proofs and related inequalities. Zbl 1480.05006 Ballantine, Cristina; Merca, Mircea 1 2022 Distinct partitions and overpartitions. Zbl 07752808 Merca, Mircea 1 2022 On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts. Zbl 1511.11086 Merca, Mircea 1 2022 A reversal of Schur’s partition theorem. Zbl 1496.05009 Merca, Mircea 1 2022 Dyson’s crank and unimodal compositions. Zbl 1504.11107 Ballantine, Cristina; Merca, Mircea 1 2022 Connections between partitions and divisors related to the parity of the partition function. Zbl 1505.97009 Merca, Mircea 1 2022 Ramanujan-type congruences modulo 4 for partitions into distinct parts. Zbl 1524.11185 Merca, Mircea 1 2022 Truncated theta series and Rogers-Ramanujan functions. Zbl 1482.05017 Merca, Mircea 13 2021 Combinatorial proof of the minimal excludant theorem. Zbl 1494.11080 Ballantine, Cristina; Merca, Mircea 9 2021 On the sum of parts with multiplicity at least \(2\) in all the partitions of \(n\). Zbl 1470.11265 Merca, Mircea; Yee, Ae Ja 8 2021 Polygonal numbers and Rogers-Ramanujan-Gordon theorem. Zbl 1485.11147 Merca, Mircea 6 2021 On the sum of parts in the partitions of \(n\) into distinct parts. Zbl 1479.11177 Merca, Mircea 4 2021 On the partitions into distinct parts and odd parts. Zbl 1483.11226 Merca, Mircea 3 2021 On the number of partitions into parts not congruent to \(0, \pm 3\pmod{12}\). Zbl 1499.11305 Merca, Mircea 3 2021 Generalized Lambert series and Euler’s pentagonal number theorem. Zbl 1467.11087 Merca, Mircea 3 2021 Combinatorial proofs of two theorems related to the number of even parts in all partitions of \(n\) into distinct parts. Zbl 1462.05027 Ballantine, Cristina; Merca, Mircea 3 2021 Overpartitions and functions from multiplicative number theory. Zbl 1513.11172 Merca, Mircea 2 2021 Congruence identities involving sums of odd divisors function. Zbl 1499.11018 Merca, Mircea 2 2021 On a nonlinear relation for computing the overpartition function. Zbl 1479.05024 Merca, Mircea 1 2021 The powers of two as sums over partitions. Zbl 1486.11123 Merca, Mircea 1 2021 Overpartitions as sums over partitions. Zbl 1513.11171 Merca, Mircea 1 2021 The \(r\)-Stirling numbers of the first kind in terms of the Möbius function. Zbl 1512.11028 Ballantine, Cristina; Merca, Mircea 1 2021 A general method for proving the non-trivial linear homogeneous partition inequalities. Zbl 1434.05014 Merca, Mircea; Katriel, Jacob 11 2020 On the number of even parts in all partitions of \(n\) into distinct parts. Zbl 1473.11190 Andrews, George E.; Merca, Mircea 11 2020 The minimal excludant and colored partitions. Zbl 1447.05021 Ballantine, Cristina; Merca, Mircea 7 2020 Bisected theta series, least \(r\)-gaps in partitions, and polygonal numbers. Zbl 1439.05023 Ballantine, Cristina; Merca, Mircea 5 2020 Factorization theorems for generalized Lambert series and applications. Zbl 1458.11008 Merca, Mircea; Schmidt, Maxie D. 4 2020 Bernoulli numbers and symmetric functions. Zbl 1432.05116 Merca, Mircea 4 2020 \(q\)-series congruences involving statistical mechanics partition functions in regime III and IV of Baxter’s solution of the hard-hexagon model. Zbl 1451.11109 Merca, Mircea 1 2020 A truncated theta identity of Gauss and overpartitions into odd parts. Zbl 1448.11181 Merca, Mircea; Wang, Chun; Yee, Ae Ja 16 2019 On identities of Watson type. Zbl 1433.05029 Ballantine, Cristina; Merca, Mircea 6 2019 Generating special arithmetic functions by Lambert series factorizations. Zbl 1470.11008 Merca, Mircea; Schmidt, Maxie Dion 5 2019 The partition function \(p(n)\) in terms of the classical Möbius function. Zbl 1464.11008 Merca, Mircea; Schmidt, Maxie D. 5 2019 A further look at a complete characterization of Ramanujan-type congruences modulo 16 for overpartitions. Zbl 1463.11150 Merca, Mircea 3 2019 On a combinatorial interpretation of the bisectional pentagonal number theorem. Zbl 1448.05013 Merca, Mircea 3 2019 On lacunary recurrences with gaps of length four and eight for the Bernoulli numbers. Zbl 1441.11038 Merca, Mircea 3 2019 A family of lacunary recurrences for Fibonacci numbers. Zbl 1449.11024 Ballantine, Cristina; Merca, Mircea 1 2019 Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015 Andrews, George E.; Merca, Mircea 44 2018 Combinatorial proofs of two truncated theta series theorems. Zbl 1394.05006 Ballantine, Cristina; Merca, Mircea; Passary, Donny; Yee, Ae Ja 12 2018 A partition identity related to Stanley’s theorem. Zbl 1401.05031 Merca, Mircea; Schmidt, Maxie D. 6 2018 Generalizations of two identities of Guo and Yang. Zbl 1395.05185 Merca, Mircea 5 2018 Higher-order differences and higher-order partial sums of Euler’s partition function. Zbl 1438.05017 Merca, Mircea 5 2018 An infinite sequence of inequalities involving special values of the Riemann zeta function. Zbl 1401.11122 Merca, Mircea 4 2018 New connections between functions from additive and multiplicative number theory. Zbl 1457.11139 Merca, Mircea 4 2018 A \(q\)-analogue for sums of powers. Zbl 1400.05031 Merca, Mircea 1 2018 The Lambert series factorization theorem. Zbl 1393.11066 Merca, Mircea 14 2017 Parity of sums of partition numbers and squares in arithmetic progressions. Zbl 1379.05004 Ballantine, Cristina; Merca, Mircea 9 2017 New relations for the number of partitions with distinct even parts. Zbl 1386.11110 Merca, Mircea 8 2017 From a Rogers’s identity to overpartitions. Zbl 1413.11116 Merca, Mircea 7 2017 New convolutions for the number of divisors. Zbl 1344.05017 Ballantine, Cristina; Merca, Mircea 5 2017 On the number of partitions into parts of \(k\) different magnitudes. Zbl 1355.05038 Merca, Mircea 3 2017 Inequalities involving the generating function for the number of partitions into odd parts. Zbl 1423.05027 Ballantine, Cristina; Merca, Mircea 3 2017 On families of linear recurrence relations for the special values of the Riemann zeta function. Zbl 1408.11013 Merca, Mircea 3 2017 On the arithmetic mean of the square roots of the first \(n\) positive integers. Zbl 1443.97035 Merca, Mircea 3 2017 The Riemann zeta function with even arguments as sums over integer partitions. Zbl 1391.11099 Merca, Mircea 3 2017 New recurrences for Euler’s partition function. Zbl 1424.11148 Merca, Mircea 2 2017 Lambert series and conjugacy classes in \(\mathrm{GL}\). Zbl 1365.05024 Merca, Mircea 1 2017 A new look on the truncated pentagonal number theorem. Zbl 1389.05006 Merca, Mircea 16 2016 Padovan numbers as sums over partitions into odd parts. Zbl 1328.05010 Ballantine, Cristina; Merca, Mircea 15 2016 Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer. Zbl 1396.11123 Merca, Mircea 13 2016 Asymptotics of the Chebyshev-Stirling numbers of the first kind. Zbl 1339.05023 Merca, Mircea 9 2016 Connections between central factorial numbers and Bernoulli polynomials. Zbl 1389.11056 Merca, Mircea 7 2016 A note on the partitions involving parts of \(k\) different magnitudes. Zbl 1329.05023 Merca, Mircea 7 2016 Fast computation of the partition function. Zbl 1333.05031 Merca, Mircea 7 2016 New convolutions for complete and elementary symmetric functions. Zbl 1352.05185 Merca, Mircea 6 2016 On the Song recurrence relation for the Riemann zeta function. Zbl 1389.11055 Merca, Mircea 3 2016 The cardinal sine function and the Chebyshev-Stirling numbers. Zbl 1343.40001 Merca, Mircea 2 2016 Stirling numbers and integer partitions. Zbl 1423.11060 Merca, Mircea 1 2016 A new look on the generating function for the number of divisors. Zbl 1371.11140 Merca, Mircea 12 2015 A connection between Jacobi-Stirling numbers and Bernoulli polynomials. Zbl 1307.11028 Merca, Mircea 10 2015 A generalization of Euler’s pentagonal number recurrence for the partition function. Zbl 1320.05011 Merca, Mircea 4 2015 An alternative to Faulhaber’s formula. Zbl 1358.11043 Merca, Mircea 3 2015 The bisectional pentagonal number theorem. Zbl 1326.11061 Merca, Mircea 3 2015 A generalization of the symmetry between complete and elementary symmetric functions. Zbl 1308.05104 Merca, Mircea 16 2014 A new connection between \(r\)-Whitney numbers and Bernoulli polynomials. Zbl 1379.11024 Merca, Mircea 14 2014 A note on the Jacobi-Stirling numbers. Zbl 1280.05133 Merca, Mircea 10 2014 On some power sums of sine or cosine. Zbl 1300.33002 Merca, Mircea 7 2014 New upper bounds for the number of partitions into a given number of parts. Zbl 1300.05035 Merca, Mircea 5 2014 A note on \(q\)-Stirling numbers. Zbl 1362.11033 Merca, Mircea 2 2014 Some experiments with complete and elementary symmetric functions. Zbl 1340.11025 Merca, Mircea 1 2014 A note on the determinant of a Toeplitz-Hessenberg matrix. Zbl 1291.15015 Merca, Mircea 31 2013 A note on the \(r\)-Whitney numbers of Dowling lattices. Zbl 1277.05167 Merca, Mircea 18 2013 A convolution for complete and elementary symmetric functions. Zbl 1278.05242 Merca, Mircea 14 2013 An asymptotic formula of cosine power sums. Zbl 1282.33002 Merca, Mircea; Tanriverdi, Tanfer 1 2013 The truncated pentagonal number theorem. Zbl 1246.05014 Andrews, George E.; Merca, Mircea 67 2012 Fast algorithm for generating ascending compositions. Zbl 1382.11096 Merca, Mircea 25 2012 A note on cosine power sums. Zbl 1285.33001 Merca, Mircea 8 2012 A special case of the generalized Girard-Waring formula. Zbl 1292.05261 Merca, Mircea 5 2012 Inequalities and identities involving sums of integer functions. Zbl 1278.11019 Merca, Mircea 1 2011 all cited Publications top 5 cited Publications all top 5 Cited by 289 Authors 83 Merca, Mircea 19 Ballantine, Cristina M. 10 Yee, Ae Ja 8 Goy, Taras P. 7 da Fonseca, Carlos Martins 7 Kilic, Emrah 7 Ramírez, José Luis 7 Schmidt, Maxie Dion 6 Andrews, George Eyre 6 Shattuck, Mark A. 5 Mező, István 5 Wang, Chun 5 Yao, Olivia Xiang Mei 4 Boussayoud, Ali 4 Du, Zhibin 4 Maji, Bibekananda 4 Xia, Ernest X. W. 3 Alzer, Horst 3 Araci, Serkan 3 Arıkan, Talha 3 Baruah, Nayandeep Deka 3 Bhoria, Subhash Chand 3 Eyyunni, Pramod 3 Kolitsch, Louis Worthy 3 Komatsu, Takao 3 Kowalenko, Victor 3 Mahadeva Naika, Megadahalli Sidda 3 Mao, Renrong 3 Qi, Feng 3 Zhu, Ling 2 Acikgoz, Mehmet 2 Aragona, Riccardo 2 Bal, Hartosh Singh 2 Bhatnagar, Gaurav 2 Chern, Shane 2 Chu, Wenchang 2 Civino, Roberto 2 Corcino, Cristina Bordaje 2 Corcino, Roberto Bagsarsa 2 da Silva, Robson 2 El Bachraoui, Mohamed 2 El-Desouky, Beih S. 2 Gireesh, D. S. 2 Glasser, M. Lawrence 2 Harishkumar, Thippeswamy 2 Katriel, Jacob 2 Kerada, Mohamed 2 Koparal, Sibel 2 Li, Runqiao 2 Lim, Dongkyu 2 Liu, Jicai 2 Mahanta, Pankaj Jyoti 2 Nyirenda, Darlison 2 Omur, Nese 2 Saba, Nabiha 2 Saikia, Manjil P. 2 Sellers, James Allen 2 Shiha, F. A. 2 Tang, Dazhao 2 Villamizar, Diego 2 Wang, Andrew Y. Z. 2 Xu, Aimin 2 Zhang, Helen W. J. 2 Zhao, Xiang 1 Abderramán Marrero, Jesús 1 Ahmed, Delbrin 1 Ahmed, Sameh S. 1 Al, Busra 1 Alharthi, Muteb R. 1 Alkan, Mustafa 1 Allouche, Jean-Paul Simon 1 Amdeberhan, Tewodros 1 An, Jing 1 Bandyopadhyay, Subhajit 1 Banerjee, Koustav 1 Barquero-Sanchez, Adrian 1 Beauchemin, Steven S. 1 Beaudoin, Normand 1 Belbachir, Hacene 1 Benzel, Steven 1 Blanco-Rocha, Roberto 1 Bouthat, Ludovick 1 Buragohain, Pujashree 1 Burnette, Michael 1 Cadavid, Carlos A. 1 Cakić, Nenad P. 1 Campbell, John Maxwell 1 Campioni, Lorenzo 1 Cardenas-Castillo, Alfredo 1 Çekım, Bayram 1 Cereceda, José Luis 1 Chan, Song Heng 1 Chang, Shih-Sen 1 Chelgham, Mourad 1 Chen, Lizhen 1 Chen, Xueyan 1 Chen, Zhong 1 Cobos-Lozada, Carlos 1 Collado-Valverde, Gabriel 1 Collao, Macarena A. ...and 189 more Authors all top 5 Cited in 94 Serials 30 The Ramanujan Journal 20 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Journal of Number Theory 8 Journal of Combinatorial Theory. Series A 8 Quaestiones Mathematicae 8 Integral Transforms and Special Functions 8 Journal of Integer Sequences 7 Bulletin of the Australian Mathematical Society 7 Discrete Mathematics 7 Mediterranean Journal of Mathematics 7 International Journal of Number Theory 7 AIMS Mathematics 5 Rocky Mountain Journal of Mathematics 5 European Journal of Combinatorics 5 The Electronic Journal of Combinatorics 5 Contributions to Discrete Mathematics 4 Advances in Applied Mathematics 4 Turkish Journal of Mathematics 4 Integers 4 Applicable Analysis and Discrete Mathematics 3 Journal of Mathematical Analysis and Applications 3 Linear and Multilinear Algebra 3 Periodica Mathematica Hungarica 3 Acta Arithmetica 3 Czechoslovak Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Aequationes Mathematicae 3 Filomat 3 Annals of Combinatorics 3 Advances in Difference Equations 3 The College Mathematics Journal 3 Special Matrices 2 American Mathematical Monthly 2 Mathematica Slovaca 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Experimental Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Taiwanese Journal of Mathematics 2 Applied Mathematics E-Notes 1 Discrete Applied Mathematics 1 European Journal of Physics 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 The Fibonacci Quarterly 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Order 1 Journal of Scientific Computing 1 Journal of the Ramanujan Mathematical Society 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Journal of Algebraic Combinatorics 1 The Journal of Analysis 1 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Chemistry 1 Séminaire Lotharingien de Combinatoire 1 Positivity 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Journal of High Energy Physics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Hacettepe Journal of Mathematics and Statistics 1 Applications and Applied Mathematics 1 Online Journal of Analytic Combinatorics 1 Advances in Mathematics of Communications 1 Albanian Journal of Mathematics 1 Asian-European Journal of Mathematics 1 Ars Mathematica Contemporanea 1 Journal of Nonlinear Science and Applications 1 Acta Universitatis Sapientiae. Mathematica 1 Eurasian Mathematical Journal 1 Palestine Journal of Mathematics 1 Transactions on Combinatorics 1 Mathematics 1 Research in the Mathematical Sciences 1 Open Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 1 DML. Discrete Mathematics Letters 1 The Art of Discrete and Applied Mathematics all top 5 Cited in 32 Fields 225 Number theory (11-XX) 192 Combinatorics (05-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 27 Special functions (33-XX) 14 Real functions (26-XX) 8 Sequences, series, summability (40-XX) 7 Numerical analysis (65-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Group theory and generalizations (20-XX) 3 Mathematics education (97-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year