Noriko Yui

Gauss polynomials and the rotation algebra

SummaryNewtons binomial theorem is extended to an interesting noncommutative setting as follows: If, in a ring,ba=γab with γ commuting witha andb, then the (generalized) binomial coefficient

Monodromy of Picard-Fuchs differential equations for Calabi-Yau threefolds

\left( {\begin{array}{*{20}c} n \\ k \\ \end{array} } \right)_r

Arithmetic of Diagonal Hypersurfaces over Finite Fields

arising in the expansion

Polynomials with Frobenius groups of prime degree as Galois groups II

\left( {a + b} \right)^n = \sum\limits_{k = 0}^n {\left( {\begin{array}{*{20}c} n \\ k \\ \end{array} } \right)} _\gamma a^{n - k} b^k

Explicit Construction of the Hilbert Class Fields of Imaginary Quadratic Fields with Class Numbers 7 and 11

(resulting from these relations) is equal to the value at γ of the Gaussian polynomial