Recent investigations probe the arithmetic properties of these functions, exploring congruence relations and modular behaviour that reveal surprising regularities.

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...

My research interests lie primarily in number theory and combinatorics, in particular the theory of partitions, special functions in the orbit of modular forms (q-series mock theta functions, quantum ...

Arithmetic of Function Fields Dedicated to the memory of David Goss June 26 - June 30, 2017 Münster, Germany Our friend and colleague David Goss was an invited speaker, but tragically passed away on ...

The Handbook of Mathematical Functions by Milton Abramovich and Irene Stegun is the one book I would wish to have on a desert island. Unlike a novel, it withstands infinities of rereadings. Its ...

For these rivers, the mathematical function should show an aspect of fluvial processes different from the explanations of grade theories. The geomorphological significance of differences in the ...

For novices, functions are one of the most intimidating features of OpenOffice.org's Calc. Newcomers quickly learn that functions are a main feature of spreadsheets, but there are almost four hundred, ...