Derives explicit formulae for subalgebra zeta functions of all higher Heisenberg Lie algebras over compact DVRs via Hecke-theoretic enumeration of symplectic sublattices.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Eigenvalues of Haar-random matrices over Z_p are asymptotically evenly distributed among algebraic extensions of Q_p by degree, with all but a bounded expected number lying in the maximal unramified extension Q_p^un; analogous results hold for roots of random Haar polynomials over Z_p.
Explicit infinite-parameter families of Hall-Littlewood-positive harmonic functionals exist on Sym/(p2-1) together with a p2-twisted mixing construction that produces new ones from old.
citing papers explorer
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Symplectic lattice counting and zeta functions of higher Heisenberg groups
Derives explicit formulae for subalgebra zeta functions of all higher Heisenberg Lie algebras over compact DVRs via Hecke-theoretic enumeration of symplectic sublattices.
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Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random Polynomials
Eigenvalues of Haar-random matrices over Z_p are asymptotically evenly distributed among algebraic extensions of Q_p by degree, with all but a bounded expected number lying in the maximal unramified extension Q_p^un; analogous results hold for roots of random Haar polynomials over Z_p.
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Hall-Littlewood-positive harmonic functionals on the algebra of symmetric functions
Explicit infinite-parameter families of Hall-Littlewood-positive harmonic functionals exist on Sym/(p2-1) together with a p2-twisted mixing construction that produces new ones from old.