JSTOR Daily

Construction of a New Class of Generating Functions of Binary Products of Some Special Numbers and Polynomials

In this paper, we derive some new symmetric properties of 𝑘-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special ...
JSTOR Daily

Generating Functions of Binary Products of (p, q)-Fibonacci-Like Numbers with Odd and Even Certain Numbers and Polynomials

In this paper, we study the symmetric and the generating functions for odd and even terms of the second-order linear recurrence sequences. we introduce a operator in order to derive a new family of ...
Harvard Business School

Weighted Generating Functions for Type II Lattices and Codes

Elkies, Noam D., and Scott Duke Kominers. "Weighted Generating Functions for Type II Lattices and Codes." In Quadratic and Higher Degree Forms. Vol. 31, edited by Alladi Krishnaswami, Manjul Bhargava, ...
Nature

Arithmetic Properties of Partition Functions

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...
Nature

Non-perturbative overlaps in JT gravity: from spectral form factor to generating functions of complexity

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...