Asymptotic expansion for the Fourier coefficients associated with the inverse of the modular discriminant function \(\Delta\)

DOI10.1007/S40993-024-00569-8MaRDI QIDQ6631467

Gargi Mukherjee

Publication date: 1 November 2024

Published in: Research in Number Theory (Search for Journal in Brave)

zbMATH Keywords

combinatorial inequalitiesLaguerre inequalities\(I\)-Bessel functionhigher order \(\log\)-concavitymodular discriminant function \(\Delta\)Rademacher type exact formula for \(k\)-colored partitionsTurán inequality of order 3

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)

Cites Work

• Title not available (Why is that?)
• Log-concavity of the partition function
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• Some inequalities for \(k\)-colored partition functions
• Asymptotics for the Fourier coefficients of eta-quotients
• \(r\)-log-concavity of partition functions
• La conjecture de Weil. I
• Turán inequalities for the plane partition function
• Exact formulae for the fractional partition functions
• On the remainders and convergence of the series for the partition function.
• On the coefficients of certain modular forms belonging to subgroups of the modular group.
• Inequalities for the modified Bessel function of first kind of non-negative order
• Higher order Laguerre inequalities for the partition function
• Inequalities for the broken \(k\)-diamond partition functions
• Ramanujan congruences for p_-k (mod 11')
• ASYMPTOTIC PARTITION FORMULAE
• Higher order Turán inequalities for the partition function
• Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser
• Jensen polynomials for the Riemann zeta function and other sequences
• Ramanujan Congruences for p_-k(n)
• On the Partition Function p (n )
• Asymptotic formulae in combinatory analysis.
• Turán inequalities for the broken \(k\)-diamond partition functions
• Higher order log-concavity of the overpartition function and its consequences

This page was built for publication: Asymptotic expansion for the Fourier coefficients associated with the inverse of the modular discriminant function \(\Delta\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6631467)