q-ANALOGUES OF WILSON'S THEOREM
نویسندگان
چکیده
منابع مشابه
q-ANALOGUES OF EULER’S ODD=DISTINCT THEOREM
Two q-analogues of Euler’s theorem on integer partitions with odd or distinct parts are given. A q-lecture hall theorem is given.
متن کاملSOME q-ANALOGUES OF THE CARTER–PAYNE THEOREM
Abstract. We prove a q-analogue of the Carter–Payne theorem for the two special cases corresponding to moving an arbitrary number of nodes between adjacent rows, or moving one node between an arbitrary number of rows. As a consequence, we show that these homomorphism spaces are one dimensional when q 6= −1. We apply these results to complete the classification of the reducible Specht modules fo...
متن کامل( q , t ) - analogues and GLn ( F q )
Abstract. We start with a (q, t)-generalization of a binomial coefficient. It can be viewed as a polynomial in t that depends upon an integer q, with combinatorial interpretations when q is a positive integer, and algebraic interpretations when q is the order of a finite field. These (q, t)-binomial coefficients and their interpretations generalize further in two directions, one relating to col...
متن کاملq-analogues of Ehrhart polynomials
One considers weighted sums over points of lattice polytopes, where the weight of a point v is the monomial q for some linear form λ. One proposes a q-analogue of the classical theory of Ehrhart series and Ehrhart polynomials, including Ehrhart reciprocity and involving evaluation at the q-integers.
متن کاملq-Sumudu Transforms of q-Analogues of Bessel Functions
The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential equations involving q-Bessel functions. The results may help to extend the q-theory of orthogona...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2008
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042108001511