Effective bounds for the Andrews spt-function
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Publication:2311862
DOI10.1515/forum-2018-0040zbMath1458.11146arXiv1706.01814OpenAlexW2952009401WikidataQ128026648 ScholiaQ128026648MaRDI QIDQ2311862
Riad Masri, Madeline Locus Dawsey
Publication date: 4 July 2019
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.01814
Related Items (19)
Inequalities for the overpartition function ⋮ Effective estimates for the smallest parts function ⋮ Polynomization of the Bessenrodt-Ono inequality ⋮ Laguerre inequalities for discrete sequences ⋮ Asymptotics, Turán inequalities, and the distribution of the BG-rank and 2-quotient rank of partitions ⋮ Strict log-subadditivity for overpartition rank ⋮ Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality ⋮ Asymptotic equidistribution for partition statistics and topological invariants ⋮ Inequalities for plane partitions ⋮ Effective bounds for traces of weak Maass forms ⋮ Polynomization of the Chern-Fu-Tang conjecture ⋮ Bounds for coefficients of the \(f(q)\) mock theta function and applications to partition ranks ⋮ Asymptotic distribution of the partition crank ⋮ Effective bounds for traces of singular moduli ⋮ Proof of the Bessenrodt-Ono inequality by induction ⋮ An effective bound for the partition function ⋮ On a new class of Laguerre-Pólya type functions with applications in number theory ⋮ Variants of an partition inequality of Bessenrodt-Ono ⋮ Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser
Cites Work
- Unnamed Item
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- Maximal multiplicative properties of partitions
- Log-concavity of the partition function
- The asymptotic distribution of Andrews' smallest parts function
- Class polynomials for nonholomorphic modular functions
- Algebraic and transcendental formulas for the smallest parts function
- On the explicit construction of higher deformations of partition statistics
- Equidistribution of Heegner points and the partition function
- Heegner points and derivatives of \(L\)-series. II
- Inductive and injective proofs of log concavity results
- Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms
- On the expansion of the partition functions in a series
- On an elementary proof of some asymptotic formulas in the theory of partitions
- Finite differences of the logarithm of the partition function
- A derivation of the Hardy-Ramanujan formula from an arithmetic formula
- Fourier coefficients of harmonic weak Maass forms and the partition function
- The number of smallest parts in the partitions of n
- Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
- Majorations Explicites Pour le Nombre de Diviseurs de N
- Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group
- The spt-function of Andrews
- An arithmetic formula for the partition function
- Singular moduli and the distribution of partition ranks modulo 2
- On the Remainders and Convergence of the Series for the Partition Function
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