3 citations · 9 across the 4 of their papers we have counts for
6 papers
Critical points of modular forms
Jan-Willem van Ittersum, Berend Ringeling
We count the number of critical points of a modular form with real Fourier coefficients in a -translate of the standard fundamental domain (with $γ\in \mathrm{SL}_…
Partitions, Multiple Zeta Values and the q-bracket
Henrik Bachmann, Jan-Willem van Ittersum
We provide a framework for relating certain q-series defined by sums over partitions to multiple zeta values. In particular, we introduce a space of polynomial functions on partiti…
Quantum KdV hierarchy and quasimodular forms
Jan-Willem M. van Ittersum, Giulio Ruzza
Dubrovin has shown that the spectrum of the quantization (with respect to the first Poisson structure) of the dispersionless Korteweg-de Vries (KdV) hierarchy is given by shifted s…
Hedgehogs in Lehmer's problem
Jan-Willem M. van Ittersum, Berend Ringeling, Wadim Zudilin
Motivated by a famous question of Lehmer about the Mahler measure we study and solve its analytic analogue.
The Bloch-Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms
Jan-Willem M. van Ittersum
There are many families of functions on partitions, such as the shifted symmetric functions, for which the corresponding q-brackets are quasimodular forms. We extend these families…
Quantitative Results on Diophantine Equations in Many Variables
Jan-Willem M. van Ittersum
We consider a system of integer polynomials of the same degree with non-singular local zeros and in many variables. Generalising the work of Birch (1962) we find quantitative asymp…