Results 1 to 10 of about 66,960 (267)
Plane Partitions as Sums over Partitions
Symmetry, 2023 In this paper, we consider complete homogeneous symmetric functions and provide a new formula for the number of plane partitions of n. This formula expresses the number of plane partitions of n in terms of binomial coefficients as a sum over all the partitions of n, considering the multiplicity of the parts greater than one.
Mircea Merca, Merca Mircea
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Designs, Codes and Cryptography, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nurdagül Anbar, Wilfried Meidl
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Parity biases in partitions and restricted partitions [PDF]
European Journal of Combinatorics, 2022 19 pages, revised based on referee ...
Koustav Banerjee +4 more
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A Topological View of Reed–Solomon Codes
Mathematics, 2021 We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve.
Alberto Besana, Cristina Martínez
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From Symmetric Functions to Partition Identities
Axioms, 2023 In this paper, we show that some classical results from q-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.
Mircea Merca
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Understanding partitions and the 'no partition' assumption [PDF]
1993 4th Workshop on Future Trends of Distributed Computing Systems, 1993 Discusses partitions in asynchronous message-passing systems. In such systems, slow processes and slow links can lead to virtual partitions that are indistinguishable from real ones. To overcome the impossibility of detecting crashed processes in an asynchronous system, the system model incorporates a failure suspector to detect (possibly erroneously ...
Ricciardi, Aleta M. +2 more
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Combinatorics of k-shapes and Genocchi numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In this paper we present a work in progress on a conjectural new combinatorial model for the Genocchi numbers. This new model called irreducible k-shapes has a strong algebraic background in the theory of symmetric functions and leads to seemingly new ...
Florent Hivert, Olivier Mallet
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Counting Shi regions with a fixed separating wall [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Athanasiadis introduced separating walls for a region in the extended Shi arrangement and used them to generalize the Narayana numbers. In this paper, we fix a hyperplane in the extended Shi arrangement for type A and calculate the number of dominant ...
Susanna Fishel +2 more
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Geometry and complexity of O'Hara's algorithm [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 In this paper we analyze O'Hara's partition bijection. We present three type of results. First, we see that O'Hara's bijection can be viewed geometrically as a certain scissor congruence type result.
Matjaž Konvalinka, Igor Pak
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Congruences modulo $4$ for the number of $3$-regular partitions
Comptes Rendus. Mathématique, 2023 The last decade has seen an abundance of congruences for $b_\ell (n)$, the number of $\ell $-regular partitions of $n$. Notably absent are congruences modulo $4$ for $b_3(n)$. In this paper, we introduce Ramanujan type congruences modulo $4$ for $b_3(2n)$
Ballantine, Cristina, Merca, Mircea
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