Academic CV - Mircea Merca

Join Now LOGIN

Researcher

ORCID: 0000-0002-8411-2928

ResearcherID: https://www.researchgate.net/profile/Mircea_Merca

Mircea

Merca

Researcher at University of Craiova

Mathematics

Romania

Citations

Contact Info

Resume

About

When asked why I like Mathematics, I realised that it is all down to my personality. Being a composed, explicit person, I enjoy the challenge of questions with unequivocal answers. My character’s orderly side draws me enthusiastically towards neat solutions, my creativity gives rise to my acceptance of new ideas and my positive mind results in my wish to succeed.

Research Interests

The theory of partitions Number theory Combinatorics Special functions Algorithms

Professional Skills

Discrete Mathematics

Combinatorics

Algorithms

Theoretical Computer Science

Algebra

Pure Mathematics

Research Experience

Researcher

Academy of Romanian Scientists May 2017 - Present

Associate Researcher

University of Craiova, Craiova, Romania July 2016 - Present

Missing required parameter in the post body

Visting Researcher

College of the Holy Cross, Worcester, USA June 2018 - June 2018

Visting Researcher

College of the Holy Cross, Worcester, USA June 2017 - July 2017

Visting Researcher

College of the Holy Cross, Worcester, USA July 2014 - July 2014

Work Experience

Researcher

Academy of Romanian Scientists May 2017 - Present

Education

University of Craiova

2011 - 2014

Doctoral Degree , Mathematics

Polytechnic University of Bucharest

2001 - 2003

Bachelor of Applied Science , Computer science

Babeş-Bolyai University, Cluj-Napoca

1987 - 1991

Bachelor's Degree , Mathematics

Presentations/Talks

Truncated theta identities and rank partition func

Academy of Romanian Scientists, Brasov, Romania Aug 2019

National Scientific Conference

An algorithm for proving the non-trivial linear ho

Galati, Romania May 2019

The Ninth Congress of Romanian Mathematicians

Truncated Theta Series, Partitions Inequalities an

Brasov, Romania Apr 2019

Transient Transcendence in Transylvania

A truncated theta identity of Gauss

Academy of Romanian Scientists, Bucharest, Romania, Mar 2019

National Scientific Conference

On a minimal excludant theorem and its generalizat

University of Florida, Gainesville, USA Oct 2019

Fall Southeastern Sectional Meeting, American Math

A general method for proving the non-trivial linea

Academy of Romanian Scientists, Targoviste, Romania Aug 2018

National Scientific Conference

Non-trivial linear partition inequalities and the

Pennsylvania State University, USA Jun 2018

Combinatory Analysis 2018: Partitions, q-Series, a

The partition function p(n) in terms of the classi

Academy of Romanian Scientists, Bucharest, Romania Mar 2018

National Scientific Conference

Bisected theta series, least r-gaps in partitions,

San Diego, USA Jan 2018

Joint Mathematics Meetings

Lambert series and conjugacy classes in GL

Academy of Romanian Scientists, Bucharest, Romania Mar 2017

National Scientific Conference

A partition identity related to Stanley’s theorem

Academy of Romanian Scientists, Timisoara, Romania Oct 2017

National Scientific Conference

A convolution for the number of divisors

College of the Holy Cross, Worcester, USA Jul 2014

Summer research seminar

On a double inequality

Valahia University of Targoviste, Romania Jun 2014

The twelfth conference on nonlinear analysis and a

A refined form of a recent convolution for the num

Alexandru Ioan Cuza University of Iasi, Romania Oct 2014

The XVIII th National Conference of the Romanian M

A Special Case of Restricted Integer Partitions

Alba Iulia, Romania Jun 2013

Special Session on Discrete Mathematics and Theore

On the Toepliz-Hessenberg determinant

Petroleum-Gas University of Ploiesti, Romania Oct 2012

The XVI th Annual Conference of the Romanian Mathe

Prizes and Awards

Romanian National Authority for Scientific Research (RON 16000)

CNCS-UEFISCDI | Oct 2021

1. PN-III-P1-1.1-PRECISI-2021-59317: Generalized Lambert Series and Euler's Pentagonal Number Theorem, Mediterranean Journal of Mathematics, 18:29 (2021) (RON 2000)

2. PN-III-P1-1.1-PRECISI-2021-62326: Truncated Theta Series and Rogers-Ramanujan Functions, Experimental Mathematics, 30(3): 364--371 (2021) (RON 2000)

3. PN-III-P1-1.1-PRECISI-2021-63799: On the partitions into distinct parts and odd parts, Quaestiones Mathematicae, 44(8): 1095--1105 (2021) (RON 6000)

4. PN-III-P1-1.1-PRECISI-2021-64647: A further look at a generalization of Waring's formula, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 115(4): 195 (2021) (RON 6000)

Spiru Haret - 2018 Prize of the Romanian Academy

Romanian Academy | Nov 2020

Romanian National Authority for Scientific Research (RON 16000)

CNCS-UEFISCDI | Oct 2020

1. PN-III-P1-1.1-PRECISI-2020-40742: q-Series congruences involving statistical mechanics
partition functions in regime III and IV of Baxter’s solution of the hard-hexagon model, Revista
de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114:156 (2020) (RON 6000)

2. PN-III-P1-1.1-PRECISI-2020-41042: Bernoulli numbers and symmetric functions, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114(1):20 (2020) (RON 6000)

3. PN-III-P1-1.1-PRECISI-2020-41447: Two Symmetric Identities Involving Complete and Elementary
Symmetric Functions, Bulletin of the Malaysian Mathematical Sciences Society, 43: 1661–1670 (2020) (RON 2000)

4. PN-III-P1-1.1-PRECISI-2020-41771: On identities of Watson type, ARS Mathematica Contemporanea, 17(1): 277–290 (2019) (RON 2000)

Romanian National Authority for Scientific Research (RON 8000)

CNCS-UEFISCDI | 2019

1. PN-III-P1-1.1-PRECISI-2019-32496: Jacobi’s Four and Eight Squares Theorems and Partitions into Distinct Parts, Mediterranean Journal of Mathematics, 16, 16-26 (2019) (RON 6000)

2. PN-III-P1-1.1-PRECISI-2019-32511: The partition function p(n) in terms of the classical Möbius function, The Ramanujan Journal, 49, 87-96 (2019) (RON 2000)

Solidarity Travel Grant (Euro 900)

European Mathematical Society | Mar 2018

Romanian National Authority for Scientific Research (RON 28000)

CNCS-UEFISCDI | Nov 2018

1. PN-III-P1-1.1-PRECISI-2018-23027: Euler-Riemann Zeta Function and Chebyshev-Stirling Numbers of the First Kind, Mediterranean Journal of Mathematics, 15:123 (2018) (RON 6000)

2. PN-III-P1-1.1-PRECISI-2018-23034: New Connections Between Functions from Additive and Multiplicative Number Theory, Mediterranean Journal of Mathematics, 13:56 (2018) (RON 6000)

3. PN-III-P1-1.1-PRECISI-2018-23042: A q-analogue for sums of powers, Acta Arithmetica, 183, 185–190 (2018) (RON 2000)

4. PN-III-P1-1.1-PRECISI-2018-24072: Truncated Theta Series and a Problem of Guo and Zeng, Journal of Combinatorial Theory, Series A, 154, 610–619 (2018) (RON 6000)

5. PN-III-P1-1.1-PRECISI-2018-26481: Binomial transforms and integer partitions into parts of k different magnitudes, The Ramanujan Journal, 46, 765–774 (2018) (RON 2000)

6. PN-III-P1-1.1-PRECISI-2018-27721: Combinatorial proofs of two truncated theta series theorems, Journal of Combinatorial Theory, Series A, 160, 168–185 (2018) (RON 6000)

Nicolae Teodorescu - 2015 Prize of the Academy of Romanian Scientists

For contributions in combinatorics and algorithm theory | Feb 2017

Romanian National Authority for Scientific Research (RON 10000)

CNCS-UEFISCDI | Nov 2017

1. PN-III-P1-1.1-PRECISI-201714957: New convolutions for the number of divisors, Journal of Number Theory, 170, 17–34 (2017) (RON 2000)

2. PN-III-P1-1.1-PRECISI-201714986: On families of linear recurrence relations for the special values of the Riemann zeta function, Journal of Number Theory, 170, 55–65 (2017) (RON 2000)

3. PN-III-P1-1.1-PRECISI-201715008: New relations for the number of partitions with distinct even parts, Journal of Number Theory, 176, 1–12 (2017) (RON 2000)

4. PN-III-P1-1.1-PRECISI-201720238: The Lambert series factorization theorem, The Ramanujan Journal, 44, 417–435 (2017) (RON 2000)

5. PN-III-P1-1.1-PRECISI-201721056: Parity of sums of partition numbers and squares in arithmetic progressions, The Ramanujan Journal, 44, 617–630 (2017) (RON 2000)

Romanian National Authority for Scientific Research (RON 2000)

CNCS-UEFISCDI | 2015

1. PN-II-RU-PRECISI-2015-9-9110: A generalization of Euler’s pentagonal number recurrence
for the partition function, The Ramanujan Journal, 37(3), 589-595 (2015) (RON 2000)

Romanian National Authority for Scientific Research (RON 6000)

CNCS-UEFISCDI | 2014

1. PN-II-RU-PRECISI-2014-8-5388: A note on the Jacobi-Stirling numbers, Integral Transforms and Special Functions, 25(3), 196-202 (2014) (RON 4000)

2. PN-II-RU-PRECISI-2014-8-5394: New upper bounds for the number of partitions into a given number of parts, Journal of Number Theory, 142, 298-304 (2014) (RON 2000)

Romanian National Authority for Scientific Research (RON 4000)

CNCS-UEFISCDI | 2013

1. PN-II-RU-PRECISI-2014-8-5388: A note on the Jacobi-Stirling numbers, Integral Transforms and Special Functions, 25(3), 196-202 (2014) (RON 4000)

2. PN-II-RU-PRECISI-2014-8-5394: New upper bounds for the number of partitions into a given number of parts, Journal of Number Theory, 142, 298-304 (2014) (RON 2000)

Realted Researchers