Infinite families of fracton fluids with momentum conservation
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DOI: 10.1103/physrevb.105.024311
Abstract: We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. We explore the effects of broken inversion and/or time-reversal symmetry at the ideal… read more here.
Keywords: infinite families; momentum; universality classes; families fracton ... See more keywords
Infinite families of monogenic trinomials and their Galois groups
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DOI: 10.1142/s0129167x18500398
Abstract: Let n ∈ ℤ with n ≥ 3. Let Sn and An denote, respectively, the symmetric group and alternating group on n letters. Let m be an indeterminate, and define fm(x) := xn + a(m,n)x… read more here.
Keywords: infinite families; families monogenic; galois groups; trinomials galois ... See more keywords
Congruences for Andrews singular overpartition pairs
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DOI: 10.1142/s1793042118500586
Abstract: Andrews defined the combinatorial objects called singular overpartitions denoted by C¯k,i(n), which counts the number of overpartitions of n in which no part is divisible by k and only parts ≡±i(modk) may be overlined. In… read more here.
Keywords: infinite families; overpartition pairs; number; andrews singular ... See more keywords
Some infinite families of congruences for overpartitions
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DOI: 10.1142/s1793042119500179
Abstract: Let p¯(n) denote the number of overpartitions of n. Recently, several infinite families of congruences modulo 12, 27 and 40 for p¯(n) have been established. In this paper, we investigate systematic... read more here.
Keywords: infinite families; congruences overpartitions; families congruences;
Infinite families of equivariantly formal toric orbifolds
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DOI: 10.1515/forum-2018-0019
Abstract: Abstract The simplicial wedge construction on simplicial complexes and simple polytopes has been used by a variety of authors to study toric and related spaces, including non-singular toric varieties, toric manifolds, intersections of quadrics and… read more here.
Keywords: infinite families; families equivariantly; formal toric; cohomology ... See more keywords
New infinite families of congruences for Andrews’ (K, I)-singular overpartitions
Sign Up to like & getrecommendations! Published in 2018 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2017.1419297
Abstract: Abstract In a recent work, Andrews defined the singular overpartition functions, denoted by , which count the number of overpartitions of n in which no part is divisible by k and only parts ≡ ±i… read more here.
Keywords: infinite families; families congruences; new infinite; congruences andrews ... See more keywords
Arithmetic properties for two restricted partitions modulo powers of 5
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DOI: 10.2989/16073606.2018.1544945
Abstract: Abstract Let pk,3(n) count the number of 2-color partition triples of n where one of the colors appears only in parts that are multiples of k and Bk,ℓ(n) denote the number of (k, ℓ)-regular bipartitions… read more here.
Keywords: infinite families; arithmetic properties; families congruences; modulo powers ... See more keywords