Results 31 to 40 of about 2,673 (59)
, 2000 We present a ``method'' for bijective proofs for determinant identities, which is based on translating determinants to Schur functions by the Jacobi--Trudi identity.
Fulmek, Markus, Kleber, Michael
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The Mumford conjecture (after Bianchi)
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley +1 more source
Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink
Complexity, Volume 2025, Issue 1, 2025.Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi +6 more
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Asymptotics of parity biases for partitions into distinct parts via Nahm sums
Proceedings of the London Mathematical Society, Volume 129, Issue 6, December 2024.Abstract For a random partition, one of the most basic questions is: what can one expect about the parts that arise? For example, what is the distribution of the parts of random partitions modulo N$N$? As most partitions contain a 1, and indeed many 1s arise as parts of a random partition, it is natural to expect a skew toward 1(modN)$1\ (\mathrm{mod} \
Kathrin Bringmann +3 more
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Ramanujan's Theta Functions and Parity of Parts and Cranks of Partitions. [PDF]
Ann Comb, 2023 Banerjee K, Dastidar MG.
europepmc +1 more source
The mysterious story of square ice, piles of cubes, and bijections. [PDF]
Proc Natl Acad Sci U S A, 2020 Fischer I, Konvalinka M.
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Method for constructing bijections for classical partition identities. [PDF]
Proc Natl Acad Sci U S A, 1981 Garsia AM, Milne SC.
europepmc +1 more source
A MacMahon analysis view of cylindric partitions. [PDF]
Ramanujan JLi R, Uncu AK.
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Codes, graphs and schemes from nonlinear functions. [PDF]
Dam, E.R. van, Fon-der-Flaass, D.
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