Möbius inversion in lattices

Henry H. Crapo

doi:10.1007/bf01899388

Möbius inversion in lattices

Archiv der Mathematik ◽

10.1007/bf01899388 ◽

1969 ◽

Vol 19 (6) ◽

pp. 595-607 ◽

Cited By ~ 39

Author(s):

Henry H. Crapo

Keyword(s):

Möbius Inversion

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The Calculation of Fourier Coefficients by the Mobius Inversion of the Poisson Summation Formula. Part I: Functions whose Early Derivatives are Continuous

Mathematics of Computation ◽

10.2307/2004881 ◽

1970 ◽

Vol 24 (109) ◽

pp. 101 ◽

Cited By ~ 1

Author(s):

J. N. Lyness

Keyword(s):

Fourier Coefficients ◽

Summation Formula ◽

Poisson Summation Formula ◽

Möbius Inversion ◽

Poisson Summation

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A multiple character sum evaluation

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700034948 ◽

2005 ◽

Vol 72 (1) ◽

pp. 157-160

Author(s):

Dae San Kim

Keyword(s):

Character Sum ◽

Möbius Inversion ◽

Special Case ◽

Multiple Character

We evaluate in a simple and direct manner a multiple character sum. a special case of which can also be derived from the Möbius inversion and a result of Hanlon.

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On the Applications of Mobius Inversion in Combinatorial Analysis

American Mathematical Monthly ◽

10.2307/2319793 ◽

1975 ◽

Vol 82 (8) ◽

pp. 789 ◽

Cited By ~ 29

Author(s):

E. A. Bender ◽

J. R. Goldman

Keyword(s):

Combinatorial Analysis ◽

Möbius Inversion

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Möbius Inversion of Random Acyclic Directed Graphs

Studies in Applied Mathematics ◽

10.1002/sapm19918411 ◽

1991 ◽

Vol 84 (1) ◽

pp. 1-6

Author(s):

Joel E. Cohen

Keyword(s):

Directed Graphs ◽

Möbius Inversion

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Some Characterizations of Lower Probabilities and Other Monotone Capacities through the use of Möbius Inversion

Classic Works of the Dempster-Shafer Theory of Belief Functions - Studies in Fuzziness and Soft Computing ◽

10.1007/978-3-540-44792-4_19 ◽

2008 ◽

pp. 477-498 ◽

Cited By ~ 1

Author(s):

Alain Chateauneuf ◽

Jean-Yves Jaffray

Keyword(s):

Möbius Inversion

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Prediction of the lowest-energy structures of rare-earth metallic clusters with a Möbius inversion pair potential

Physical Review A ◽

10.1103/physreva.64.015201 ◽

2001 ◽

Vol 64 (1) ◽

Cited By ~ 12

Author(s):

You-Hua Luo ◽

Yuzhu Wang

Keyword(s):

Rare Earth ◽

Pair Potential ◽

Metallic Clusters ◽

Möbius Inversion

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An application of Möbius inversion to a problem in topological dynamics

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1973-13314-2 ◽

1973 ◽

Vol 79 (5) ◽

pp. 1027-1030 ◽

Cited By ~ 1

Author(s):

Nelson G. Markley ◽

William N. Anderson Jr.

Keyword(s):

Topological Dynamics ◽

Möbius Inversion

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Möbius inversion on a multiplicative semigroup and inverse lattice problems in physics

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(199802)21:3<269::aid-mma964>3.0.co;2-# ◽

1998 ◽

Vol 21 (3) ◽

pp. 269-279 ◽

Cited By ~ 2

Author(s):

Chen Zhaodou ◽

Shen Yanan ◽

Liu Shaojun

Keyword(s):

Multiplicative Semigroup ◽

Möbius Inversion

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The calculation of Fourier coefficients by the Möbius inversion of the Poisson summation formula. III. Functions having algebraic singularities

Mathematics of Computation ◽

10.1090/s0025-5718-1971-0297162-6 ◽

1971 ◽

Vol 25 (115) ◽

pp. 483-483

Author(s):

J. N. Lyness

Keyword(s):

Fourier Coefficients ◽

Summation Formula ◽

Poisson Summation Formula ◽

Möbius Inversion ◽

Algebraic Singularities ◽

Poisson Summation

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The Calculation of Fourier Coefficients by the Mobius Inversion of the Poisson Summation Formula Part II. Piecewise Continuous Functions and Functions with Poles near the Interval [0, 1]

Mathematics of Computation ◽

10.2307/2005132 ◽

1971 ◽

Vol 25 (113) ◽

pp. 59

Author(s):

J. N. Lyness

Keyword(s):

Fourier Coefficients ◽

Summation Formula ◽

Continuous Functions ◽

Poisson Summation Formula ◽

Möbius Inversion ◽

Piecewise Continuous ◽

Poisson Summation

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