3 citations · 11 across the 6 of their papers we have counts for
9 papers
Multiple -zeta values as polynomials in partition multiplicities
Jan-Willem M. van Ittersum
Writing multiple -zeta values as sums over partitions, a conjecture of Bachmann, proved by Hirose, Maesaka and Watanabe by means of a recursion, says that polynomials in the par…
Quasimodularity of -series associated to root lattices
Antun Milas, Jan-Willem M. van Ittersum
Motivated by conjectures arising in part from the study of class- vertex algebras associated with four-dimensional supersymmetric field theories, we study multiple …
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…
A group-invariant version of Lehmer's conjecture on heights
Jan-Willem M. van Ittersum
We state and prove an equivariant version of Lehmer's conjecture on heights, generalizing papers by Zagier (1993) and Dresden (1998) which are special cases of this theorem. We als…