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1

ON PRIME-PERFECT NUMBERS

KNOPFMACHER, ARNOLD, LUCA, FLORIAN

Journal:

International Journal of Number Theory

Year:

2011

Language:

english

File:

PDF, 164 KB

english, 2011

2

Recursive formulae for prime numbers

John Knopfmacher

Journal:

Archiv der Mathematik

Year:

1979

Language:

english

File:

PDF, 280 KB

english, 1979

3

The number of steps in the euclidean algorithm over complex quadratic fields

Arnold Knopfmacher, John Knopfmacher

Journal:

BIT Numerical Mathematics

Year:

1991

Language:

english

File:

PDF, 298 KB

english, 1991

4

A SURVEY OF FACTORIZATION COUNTING FUNCTIONS

KNOPFMACHER, A., MAYS, M. E.

Journal:

International Journal of Number Theory

Year:

2005

Language:

english

File:

PDF, 251 KB

english, 2005

5

2874. A Note on Perfect Numbers

Journal:

The Mathematical Gazette

Year:

1960

Language:

english

File:

PDF, 110 KB

english, 1960

6

On Carlitz Compositions

A. Knopfmacher, H. Prodinger

Journal:

European Journal of Combinatorics

Year:

1998

Language:

english

File:

PDF, 139 KB

english, 1998

7

Distinct Degree Factorizations for Polynomials over a Finite Field

Arnold Knopfmacher and Richard Warlimont

Journal:

Transactions of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 595 KB

english, 1995

8

Arithmetical Semigroups Related to Trees and Polyhedra

A. Knopfmacher, J. Knopfmacher

Journal:

Journal of Combinatorial Theory, Series A

Year:

1999

Language:

english

File:

PDF, 152 KB

english, 1999

9

Engel Expansions and the Rogers–Ramanujan Identities

George E. Andrews, Arnold Knopfmacher, John Knopfmacher

Journal:

Journal of Number Theory

Year:

2000

Language:

english

File:

PDF, 176 KB

english, 2000

10

Some homological formulae

Journal:

Journal of Algebra

Year:

1968

Language:

english

File:

PDF, 359 KB

english, 1968

11

Infinite products for power series

Arnold Knopfmacher, John Knopfmacher

Journal:

Journal of Approximation Theory

Year:

1989

Language:

english

File:

PDF, 252 KB

english, 1989

12

Series expansions in p-adic and other non-archimedean fields

A. Knopfmacher, J. Knopfmacher

Journal:

Journal of Number Theory

Year:

1989

Language:

english

File:

PDF, 384 KB

english, 1989

13

Infinite series expansions forp-adic numbers

Arnold Knopfmacher, John Knopfmacher

Journal:

Journal of Number Theory

Year:

1992

Language:

english

File:

PDF, 568 KB

english, 1992

14

Arithmetical properties of finite graphs and polynomials

Journal:

Journal of Combinatorial Theory, Series B

Year:

1976

Language:

english

File:

PDF, 525 KB

english, 1976

15

Explicit and asymptotic formulae for the expected values of the order statistics of the Cantor distribution

Arnold Knopfmacher, Helmut Prodinger

Journal:

Statistics & Probability Letters

Year:

1996

Language:

english

File:

PDF, 228 KB

english, 1996

16

On the number of distinct multinomial coefficients

George E. Andrews, Arnold Knopfmacher, Burkhard Zimmermann

Journal:

Journal of Number Theory

Year:

2006

Language:

english

File:

PDF, 147 KB

english, 2006

17

Combinatorics of geometrically distributed random variables: run statistics

Peter J. Grabner, Arnold Knopfmacher, Helmut Prodinger

Journal:

Theoretical Computer Science

Year:

2003

Language:

english

File:

PDF, 126 KB

english, 2003

18

The learning and study strategies inventory: A South African application

David L. Agar, Nadine Knopfmacher

Journal:

Higher Education

Year:

1995

Language:

english

File:

PDF, 689 KB

english, 1995

19

Asymptotic enumeration of manifolds and Lie groups

John Knopfmacher

Journal:

Mathematische Annalen

Year:

1970

Language:

english

File:

PDF, 335 KB

english, 1970

20

Freud's conjecture and approximation of reciprocals of weights by polynomials

Arnold Knopfmacher, D. S. Lubinsky, P. Nevai

Journal:

Constructive Approximation

Year:

1988

Language:

english

File:

PDF, 419 KB

english, 1988

21

On the largest degree of an irreducible factor of a polynomial in Fq[X]

A. Knopfmacher, E. Manstavičius

Journal:

Lithuanian Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 367 KB

english, 1997

22

Analysis of some new partition statistics

Peter J. Grabner, Arnold Knopfmacher

Journal:

The Ramanujan Journal

Year:

2006

Language:

english

File:

PDF, 370 KB

english, 2006

23

Successions in integer partitions

Arnold Knopfmacher, Augustine O. Munagi

Journal:

The Ramanujan Journal

Year:

2009

Language:

english

File:

PDF, 377 KB

english, 2009

24

A binomial product representation forp-adic numbers

Arnold Knopfmacher, John Knopfmacher

Journal:

Archiv der Mathematik

Year:

1989

Language:

english

File:

PDF, 141 KB

english, 1989

25

Fourier analysis of arithmetical functions

John Knopfmacher

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1976

Language:

english

File:

PDF, 1.79 MB

english, 1976

26

Digit sums of binomial sums

Arnold Knopfmacher, Florian Luca

Journal:

Journal of Number Theory

Year:

2012

Language:

english

File:

PDF, 153 KB

english, 2012

27

Inversions in compositions of integers

Heubach*, S., Knopfmacher*, A., Mays*, M.E., Munagi*, A.

Journal:

Quaestiones Mathematicae

Year:

2011

Language:

english

File:

PDF, 240 KB

english, 2011

28

JOHN KNOPFMACHER—MATHEMATICAL AND OTHER MEMORIES

Knopfmacher, Arnold

Journal:

Quaestiones Mathematicae

Year:

2001

Language:

english

File:

PDF, 83 KB

english, 2001

29

q -ENGEL SERIES EXPANSIONS AND SLATER'S IDENTITIES

Andrews, George E., Knopfmacher, Arnold, Paule, Peter, Prodinger, Helmut

Journal:

Quaestiones Mathematicae

Year:

2001

Language:

english

File:

PDF, 193 KB

english, 2001

30

The number of distinct values in a geometrically distributed sample

Margaret Archibald, Arnold Knopfmacher, Helmut Prodinger

Journal:

European Journal of Combinatorics

Year:

2006

Language:

english

File:

PDF, 283 KB

english, 2006

31

Analytic properties of power product expansions

Gingold, H., Knopfmacher, A.

Journal:

Canadian Journal of Mathematics

Year:

1995

Language:

english

File:

PDF, 1.28 MB

english, 1995

32

Submodules, Subalgebras and Ideals in Finite Modules or Nilpotent Algebras Over Dedekind Domains

Knopfmacher, J., Burger, G. E.

Journal:

Journal of the London Mathematical Society

Year:

1972

Language:

english

File:

PDF, 267 KB

english, 1972

33

On Chern Classes of Representations of Finite Groups

Knopfmacher, J.

Journal:

Journal of the London Mathematical Society

Year:

1966

Language:

english

File:

PDF, 156 KB

english, 1966

34

The height and width of bargraphs

Blecher, Aubrey, Brennan, Charlotte, Knopfmacher, Arnold, Prodinger, Helmut

Journal:

Discrete Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 413 KB

english, 2015

35

Counting corners in partitions

Blecher, Aubrey, Brennan, Charlotte, Knopfmacher, Arnold, Mansour, Toufik

Journal:

The Ramanujan Journal

Year:

2016

Language:

english

File:

PDF, 359 KB

english, 2016

36

Binomial expected values of arithmetical functions.

Knopfmacher, John, Schwarz, Wolfgang

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

1981

Language:

english

File:

PDF, 1.45 MB

english, 1981

37

Staircase words and Chebyshev polynomials

Arnold, Knopfmacher, Toufik, Mansour, Augustine, Munagi, Helmut, Prodinger

Journal:

Applicable Analysis and Discrete Mathematics

Year:

2010

Language:

english

File:

PDF, 215 KB

english, 2010

38

A Prime-Divisor Function

Journal:

Proceedings of the American Mathematical Society

Year:

1973

Language:

english

File:

PDF, 198 KB

english, 1973

39

On the Isomorphism Problem for Lie Algebras

Journal:

Proceedings of the American Mathematical Society

Year:

1967

Language:

english

File:

PDF, 242 KB

english, 1967

40

Distinct degree factorizations for polynomials over a finite field

Knopfmacher, Arnold, Warlimont, Richard

Journal:

Transactions of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 517 KB

english, 1995

41

Geometric random variables: Descents following maxima

Archibald, Margaret, Blecher, Aubrey, Brennan, Charlotte, Knopfmacher, Arnold, Prodinger, Helmut

Journal:

Statistics & Probability Letters

Year:

2017

Language:

english

File:

PDF, 305 KB

english, 2017

42

Generalised Euler constants

Knopfmacher, J.

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

1978

Language:

english

File:

PDF, 321 KB

english, 1978

43

Two constructions of the real numbers via alternating series

Knopfmacher, Arnold, Knopfmacher, John

Journal:

International Journal of Mathematics and Mathematical Sciences

Year:

1989

Language:

english

File:

PDF, 2.41 MB

english, 1989

44

Arithmetical Semigroups Related to Trees and Polyhedra, II — Maps on Surfaces

John Knopfmacher, Richard Warlimont

Journal:

Mathematische Nachrichten

Year:

2002

Language:

english

File:

PDF, 242 KB

english, 2002

45

An Infinite Family of Engel Expansions of Rogers–Ramanujan Type

George E. Andrews, Arnold Knopfmacher, Peter Paule

Journal:

Advances in Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 89 KB

english, 2000

46

Counting irreducible factors of polynomials over a finite field

Arnold Knopfmacher, John Knopfmacher

Journal:

Discrete Mathematics

Year:

1993

Language:

english

File:

PDF, 728 KB

english, 1993

47

Positive convergent approximation operators associated with orthogonal polynomials for weights on the whole real line

Arnold Knopfmacher

Journal:

Journal of Approximation Theory

Year:

1986

Language:

english

File:

PDF, 845 KB

english, 1986

48

Asymptotic behaviour of the ratio of Christoffel functions for weights W2 and W2g

Arnold Knopfmacher, D.S Lubinsky

Journal:

Journal of Approximation Theory

Year:

1988

Language:

english

File:

PDF, 893 KB

english, 1988

49

On measures of fuzziness

Journal:

Journal of Mathematical Analysis and Applications

Year:

1975

Language:

english

File:

PDF, 310 KB

english, 1975

50

Unique factorizations of formal power series

A Knopfmacher, J Knopfmacher, J.N Ridley

Journal:

Journal of Mathematical Analysis and Applications

Year:

1990

Language:

english

File:

PDF, 405 KB

english, 1990