Mircea Merca,: search on Z-Library

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1

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

Journal:

College Mathematics Journal

Year:

2017

Language:

english

File:

PDF, 214 KB

english, 2017

2

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

Journal:

American Mathematical Monthly

Year:

2017

Language:

english

File:

PDF, 129 KB

english, 2017

3

New relations for the number of partitions with distinct even parts

Journal:

Journal of Number Theory

Year:

2017

Language:

english

File:

PDF, 257 KB

english, 2017

4

A Partition Identity Related to Stanley’s Theorem

Merca, Mircea, Schmidt, Maxie D.

Journal:

American Mathematical Monthly

Year:

2018

Language:

english

File:

PDF, 740 KB

english, 2018

5

On Some Power Sums of Sine or Cosine

Journal:

American Mathematical Monthly

Language:

english

File:

PDF, 187 KB

english

6

Fast Algorithm for Generating Ascending Compositions

Journal:

Journal of Mathematical Modelling and Algorithms in Operations Research

Year:

2012

Language:

english

File:

PDF, 313 KB

english, 2012

7

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

Merca, Mircea, Yee, Ae Ja

Journal:

International Journal of Number Theory

Year:

2020

File:

PDF, 585 KB

2020

8

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

Journal:

The Ramanujan Journal

Year:

2015

Language:

english

File:

PDF, 133 KB

english, 2015

9

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

Journal:

Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 278 KB

english, 2015

10

A connection between Jacobi–Stirling numbers and Bernoulli polynomials

Journal:

Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 219 KB

english, 2015

11

The cardinal sine function and the Chebyshev–Stirling numbers

Journal:

Journal of Number Theory

Year:

2016

Language:

english

File:

PDF, 259 KB

english, 2016

12

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

Journal:

Journal of Number Theory

Year:

2016

Language:

english

File:

PDF, 275 KB

english, 2016

13

Stirling Numbers and Integer Partitions

Journal:

Quaestiones Mathematicae

Year:

2015

Language:

english

File:

PDF, 360 KB

english, 2015

14

Fast computation of the partition function

Journal:

Journal of Number Theory

Year:

2016

Language:

english

File:

PDF, 251 KB

english, 2016

15

The bisectional pentagonal number theorem

Journal:

Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 223 KB

english, 2015

16

A note on the partitions involving parts of k different magnitudes

Journal:

Journal of Number Theory

Year:

2016

Language:

english

File:

PDF, 250 KB

english, 2016

17

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

Journal:

Journal of Number Theory

Year:

2017

Language:

english

File:

PDF, 257 KB

english, 2017

18

New convolutions for the number of divisors

Ballantine, Cristina, Merca, Mircea

Journal:

Journal of Number Theory

Year:

2017

Language:

english

File:

PDF, 302 KB

english, 2017

19

On the number of partitions into parts of k

Journal:

Discrete Mathematics

Year:

2017

Language:

english

File:

PDF, 348 KB

english, 2017

20

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

Ballantine, Cristina, Merca, Mircea

Journal:

Mediterranean Journal of Mathematics

Year:

2018

Language:

english

File:

PDF, 488 KB

english, 2018

21

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

Journal:

Journal of Number Theory

Year:

2014

Language:

english

File:

PDF, 195 KB

english, 2014

22

Padovan numbers as sums over partitions into odd parts

Ballantine, Cristina, Merca, Mircea

Journal:

Journal of Inequalities and Applications

Year:

2016

Language:

english

File:

PDF, 1.27 MB

english, 2016

23

From a Rogers’s identity to overpartitions

Journal:

Periodica Mathematica Hungarica

Year:

2016

Language:

english

File:

PDF, 374 KB

english, 2016

24

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

Ballantine, Cristina, Merca, Mircea

Journal:

Quaestiones Mathematicae

Year:

2017

Language:

english

File:

PDF, 410 KB

english, 2017

25

A note on the determinant of a Toeplitz-Hessenberg matrix

Journal:

Special Matrices

Year:

2013

Language:

english

File:

PDF, 1.06 MB

english, 2013

26

New Connections Between Functions from Additive and Multiplicative Number Theory

Journal:

Mediterranean Journal of Mathematics

Year:

2018

Language:

english

File:

PDF, 503 KB

english, 2018

27

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

Merca, Mircea, Schmidt, Maxie D.

Journal:

The Ramanujan Journal

Year:

2018

Language:

english

File:

PDF, 434 KB

english, 2018

28

-Stirling numbers

Journal:

Discrete Mathematics

Year:

2019

Language:

english

File:

PDF, 291 KB

english, 2019

29

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

Ballantine, Cristina, Merca, Mircea

Journal:

Mediterranean Journal of Mathematics

Year:

2019

Language:

english

File:

PDF, 382 KB

english, 2019

30

Factorization theorems for generalized Lambert series and applications

Merca, Mircea, Schmidt, Maxie D.

Journal:

The Ramanujan Journal

Year:

2019

Language:

english

File:

PDF, 484 KB

english, 2019

31

New recurrences for Euler''s partition function

Journal:

TURKISH JOURNAL OF MATHEMATICS

Year:

2017

Language:

english

File:

PDF, 87 KB

english, 2017

32

Bernoulli numbers and symmetric functions

Journal:

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas

Year:

2020

File:

PDF, 329 KB

2020

33

On the partitions into distinct parts and odd parts

Journal:

Quaestiones Mathematicae

Year:

2020

File:

PDF, 357 KB

2020

34

Polygonal numbers and RogersâRamanujanâGordon theorem

Journal:

The Ramanujan Journal

Year:

2020

File:

PDF, 257 KB

2020

35

The powers of two as sums over partitions

Journal:

Quaestiones Mathematicae

Year:

2020

File:

PDF, 362 KB

2020

36

The truncated pentagonal number theorem

George E. Andrews, Mircea Merca

Journal:

Journal of Combinatorial Theory, Series A

Year:

2012

Language:

english

File:

PDF, 111 KB

english, 2012

37

A note on the r-Whitney numbers of Dowling lattices

Journal:

Comptes Rendus Mathematique

Year:

2013

Language:

english

File:

PDF, 218 KB

english, 2013

38

A note on the Jacobi–Stirling numbers

Journal:

Integral Transforms and Special Functions

Year:

2014

Language:

english

File:

PDF, 104 KB

english, 2014

39

A convolution for complete and elementary symmetric functions

Journal:

Aequationes Mathematicae

Year:

2013

Language:

english

File:

PDF, 190 KB

english, 2013

40

A generalization of the symmetry between complete and elementary symmetric functions

Journal:

Indian Journal of Pure and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 126 KB

english, 2014

41

A new connection between r -Whitney numbers and Bernoulli polynomials

Journal:

Integral Transforms and Special Functions

Year:

2014

Language:

english

File:

PDF, 68 KB

english, 2014

42

Some experiments with complete and elementary symmetric functions

Journal:

Periodica Mathematica Hungarica

Year:

2014

Language:

english

File:

PDF, 124 KB

english, 2014

43

Asymptotics of the Chebyshev–Stirling numbers of the first kind

Journal:

Integral Transforms and Special Functions

Year:

2015

Language:

english

File:

PDF, 962 KB

english, 2015

44

Connections between central factorial numbers and Bernoulli polynomials

Journal:

Periodica Mathematica Hungarica

Year:

2016

Language:

english

File:

PDF, 366 KB

english, 2016

45

Augmented monomials in terms of power sums

Journal:

Year:

2015

Language:

english

File:

PDF, 1.58 MB

english, 2015

46

New convolutions for complete and elementary symmetric functions

Journal:

Integral Transforms and Special Functions

Year:

2016

Language:

english

File:

PDF, 971 KB

english, 2016

47

Parity of sums of partition numbers and squares in arithmetic progressions

Ballantine, Cristina, Merca, Mircea

Journal:

The Ramanujan Journal

Year:

2016

Language:

english

File:

PDF, 445 KB

english, 2016

48

The Lambert series factorization theorem

Journal:

The Ramanujan Journal

Year:

2017

Language:

english

File:

PDF, 450 KB

english, 2017

49

Lambert series and conjugacy classes in

Journal:

Discrete Mathematics

Year:

2017

Language:

english

File:

PDF, 423 KB

english, 2017

50

Generalizations of two identities of Guo and Yang

Journal:

Quaestiones Mathematicae

Year:

2017

Language:

english

File:

PDF, 369 KB

english, 2017

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