4 papers
A method for determining the mod- behaviour of recursive sequences
Christian Krattenthaler, Thomas W. Müller
We present a method for obtaining congruences modulo powers of a prime number~ for combinatorial sequences whose generating function satisfies an algebraic differential equation…
Bounded Littlewood identities for cylindric Schur functions
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
The identities which are in the literature often called ``bounded Littlewood identities" are determinantal formulas for the sum of Schur functions indexed by partitions with bounde…
The congruence properties of Romik's sequence of Taylor coefficients of Jacobi's theta function
Christian Krattenthaler, Thomas W. Müller
In [Ramanujan J. 52 (2020), 275-290], Romik considered the Taylor expansion of Jacobi's theta function at and encoded it in an integer sequence $(d(n))_{n\ge0…
Proof of Two Multivariate -Binomial Sums Arising in Gromov-Witten Theory
Christian Krattenthaler
We prove two multivariate -binomial identities conjectured by Bousseau, Brini and van Garrel [Geom. Topol. 28 (2024), 393-496, arXiv:2011.08830] which give generating series for…