MM
Mircea Merca
math.COmath.NTInteger partitionsSymmetric functions
On Valency
published · living versionsW_xh4zkr7g·v1 · currentpublished
Preprints & journals
33 papers in the corpus · 2014–2026Dyadic Structure of the Two-Block Odd Partition Function and Theta-Weighted Congruences for 2610.05020v1 · Mircea Merca2026 · 0 citationsarXiv
The two-block odd partition function2609.33770v1 · Mircea Merca2026 · 0 citationsRamanujan Journal, 71: 23 (2026)
MacMahon-type -series2512.00978v1 · Mircea Merca2025 · 0 citationsarXiv
From crank to congruences2505.19991v1 · Tewodros Amdeberhan, Mircea Merca2025 · 3 citationsarXiv
Do perfect powers repel partition numbers?2501.03754v2 · Mircea Merca, Ken Ono, Wei-Lun Tsai2025 · 1 citationarXiv
Elementary symmetric partitions2409.11268v3 · Cristina Ballantine, George Beck, Mircea Merca et al.2024 · 3 citationsarXiv
Partitions and elementary symmetric polynomials -- an experimental approach2408.13346v1 · Cristina Ballantine, George Beck, Mircea Merca2024 · 2 citationsarXiv
The partition function in terms of the classical Möbius function2310.13658v1 · Mircea Merca, Maxie D. Schmidt2023 · 7 citationsRamanujan J. 49: 87-96 (2019)
A Partition Identity Related to Stanley's Theorem2310.13672v1 · Mircea Merca, Maxie D. Schmidt2023 · 10 citationsAmer. Math. Monthly 125 10: 929-933 (2018)
-regular partitions: new combinatorial properties, congruences, and linear inequalities2302.01253v1 · Cristina Ballantine, Mircea Merca2023 · 14 citationsarXiv
Parity of 3-regular partition numbers and Diophantine equations2212.09810v1 · Cristina Ballantine, Mircea Merca, Cristian-Silviu Radu2022 · 4 citationsarXiv
Dyson's crank and unimodal compositions2203.02061v1 · Cristina Ballantine, Mircea Merca2022 · 7 citationsarXiv
On Ramanujan-type Congruences for Multiplicative Functions2112.05649v2 · William Craig, Mircea Merca2021 · 0 citationsarXiv
-Regular partitions and the pod function2111.10702v2 · Cristina Ballantine, Mircea Merca2021 · 9 citationsarXiv
Overpartitions and functions from multiplicative number theory2102.01379v1 · Mircea Merca2021 · 0 citationsarXiv
On a nonlinear relation for computing the overpartition function2009.06597v1 · Mircea Merca2020 · 4 citationsarXiv
The powers of two as sums over partitions2009.06612v1 · Mircea Merca2020 · 1 citationarXiv
Truncated theta series and partitions into distinct parts2006.07704v1 · Mircea Merca2020 · 0 citationsarXiv
Rank partition functions and truncated theta identities2006.07705v1 · Mircea Merca2020 · 13 citationsarXiv
-Series congruences involving statistical mechanics partition functions in regime III and IV of Baxter's solution of the hard-hexagon model2006.01691v1 · Mircea Merca2020 · 1 citationarXiv
Combinatorial interpretations of two identities of Guo and Yang2006.00496v1 · Mircea Merca2020 · 1 citationarXiv
On the partitions into distinct parts and odd parts2005.03619v1 · Mircea Merca2020 · 5 citationsarXiv
A generalization of complete and elementary symmetric functions2005.01447v1 · Moussa Ahmia, Mircea Merca2020 · 2 citationsarXiv
Infinite product formulae for generating functions for sequences of squares1912.04658v3 · Christian Krattenthaler, Mircea Merca, Cristian-Silviu Radu2019 · 2 citationsin: Transcendence in Algebra, Combinatorics, Geometry and Number Theory, A. Bostan, K. Raschel (eds.), Springer-Verlag, 2021, pp. 193-236
Combinatorial Proof of the Minimal Excludant Theorem1908.06789v2 · Cristina Ballantine, Mircea Merca2019 · 23 citationsarXiv
Fast algorithm for generating ascending compositions1903.10797v1 · Mircea Merca2019 · 40 citationsJournal of Mathematical Modelling and Algorithms, Volume 11, Issue 1, pp 89-104, 2012
A convolution for the complete and elementary symmetric functions1811.04771v1 · Mircea Merca2018 · 19 citationsAequationes Mathematicae 86 (2013) 217-229
Factorization Theorems for Generalized Lambert Series and Applications1712.00611v1 · Mircea Merca, Maxie D. Schmidt2017 · 8 citationsarXiv
Bisected theta series, least -gaps in partitions, and polygonal numbers1710.05960v1 · Cristina Ballantine, Mircea Merca2017 · 10 citationsarXiv
New Factor Pairs for Factorizations of Lambert Series Generating Functions1706.02359v1 · Mircea Merca, Maxie D. Schmidt2017 · 2 citationsarXiv
Generating Special Arithmetic Functions by Lambert Series Factorizations1706.00393v2 · Mircea Merca, Maxie D. Schmidt2017 · 4 citationsarXiv
Augmented monomials in terms of power sums.26636012 · Merca, Mircea2015 · 9 citationsSpringerPlus. 2015;4:724
Inequalities involving the generating function for the number of partitions into odd parts1407.5552v2 · Cristina Ballantine, Mircea Merca2014 · 6 citationsarXiv
Career total: 162 works. 33 are in this corpus.
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