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math.NT2022★ 3 cited
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}_…
math.NT2022
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…
math-ph2022★ 3 cited
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…