33 citations · 110 across the 63 of their papers we have counts for
75 papers
Optimal Lojasiewicz-Simon Exponents and the Intrinsic Singularities of Analytic Functionals
Tewodros Amdeberhan, Tai Huy Ha
We prove that the optimal Lojasiewicz--Simon exponent of a real-analytic functional on a Banach space is an intrinsic invariant of its finite-dimensional Lyapunov--Schmidt singular…
Bergeron's conjecture & a tale of two binomial coefficients
Tewodros Amdeberhan, Matthias Beck
Bergeron's conjecture states that, if are integers with , then one has the coefficient-wise inequality among two Gaus…
Sprout Symmetric Functions: Part 1
Tewodros Amdeberhan, John Shareshian, Richard P. Stanley
A \emph{sprout sequence} is a sequence $\frakr=(R_0=1,R_1,R_2,\dots)$ of symmetric functions in the variables $\bmx=(x_1,x_2,\dots)$ over a field generated from a power series…
The Challenge of Computing Geode Numbers
Tewodros Amdeberhan, Manuel Kauers, Doron Zeilberger
In a fascinating recent American Mathematical Monthly article, Norman Wildberger and Dean Rubine introduced a new kind of combinatorial numbers, that they aptly named the ``Geode n…
Quasimodular forms arising from Jacobi's theta function and special symmetric polynomials
Tewodros Amdeberhan, Leonid G. Fel, Ken Ono
Ramanujan derived a sequence of even weight quasimodular forms from derivatives of Jacobi's weight theta function. Using the generating function for this seq…
Lambert series and double Lambert series
Tewodros Amdeberhan, George E. Andrews, Cristina Ballantine
We consider relationships between classical Lambert series, multiple Lambert series and classical -series of the Rogers-Ramanujan type. We conclude with a contemplation on the A…