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  1. Article

    Open Access

    Renormalization of Higher Currents of the Sine-Gordon Model in pAQFT

    In this paper, we show that the higher currents of the sine-Gordon model are super-renormalizable by power counting in the framework of pAQFT. First we obtain closed recursive formulas for the higher currents ...

    Fabrizio Zanello in Annales Henri Poincaré (2024)

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  2. No Access

    Article

    On the Density of the Odd Values of the Partition Function

    The purpose of this note is to introduce a new approach to the study of one of the most basic and seemingly intractable problems in partition theory, namely, the conjecture that the partition function p(n) is equ...

    Samuel D. Judge, William J. Keith, Fabrizio Zanello in Annals of Combinatorics (2018)

  3. No Access

    Article

    Some Asymptotic Results on q-Binomial Coefficients

    We look at the asymptotic behavior of the coefficients of the q-binomial coefficients (or Gaussian polynomials) $${\left(\begin{array}...

    Richard P. Stanley, Fabrizio Zanello in Annals of Combinatorics (2016)

  4. No Access

    Article

    An algebraic approach to finite projective planes

    A finite projective plane, or more generally a finite linear space, has an associated incidence complex that gives rise to two natural algebras: the Stanley–Reisner ring

    David Cook II, Juan Migliore, Uwe Nagel… in Journal of Algebraic Combinatorics (2016)

  5. No Access

    Article

    Warnaar’s bijection and colored partition identities, II

    In our previous paper (J. Comb. Theory Ser. A 120(1):28–38, 2013), we determined a unified combinatorial framework to look at a large number of colored partition identities, and studied the five identities corres...

    Colin Sandon, Fabrizio Zanello in The Ramanujan Journal (2014)

  6. No Access

    Article

    Pure O-Sequences and Matroid h-Vectors

    We study Stanley’s long-standing conjecture that the h-vectors of matroid simplicial complexes are pure O-sequences. Our method consists of a new and more abstract approach, which shifts the focus from working on...

    Huy Tài Hà, Erik Stokes, Fabrizio Zanello in Annals of Combinatorics (2013)

  7. No Access

    Chapter

    Pure O-Sequences: Known Results, Applications, and Open Problems

    This paper presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-sequences. Various instances where pure O-sequences appear are described. Several open problems that deserve ...

    Juan Migliore, Uwe Nagel, Fabrizio Zanello in Commutative Algebra (2013)

  8. No Access

    Article

    Simplicial complexes and Macaulay’s inverse systems

    Let Δ be a simplicial complex on V = {x 1, . . . , x n }, with Stanley–Reisner ideal

    Adam Van Tuyl, Fabrizio Zanello in Mathematische Zeitschrift (2010)

  9. No Access

    Article

    Some observations on the statistical independence and the distribution of zeros in the selberg class

    In this paper we prove four theorems on theL-function of the Selberg Class, extending some results of Selberg. Bombieri-Hejhal and Bombieri-Perelli, shown for a rather similar class of Dirichlet series.

    Fabrizio Zanello in Rendiconti del Circolo Matematico di Palermo (2003)