This paper has two parts. The first part surveys Euler's work on the constant $\gamma=
0.57721\cdots $ bearing his name, together with some of his related work on the gamma …

In a manner accessible to beginning undergraduates, An Invitation to Modern Number
Theory introduces many of the central problems, conjectures, results, and techniques of the …

Multiple zeta values: from numbers to motives Page 1 Clay Mathematics Proceedings
Multiple zeta values: from numbers to motives José Ignacio Burgos Gil and Javier Fresán …

Spectral and factorization properties of oscillatory matrices lead to a spectral Favard
theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in …

In recent decades, a growing number of discoveries in mathematics have been assisted by
computer algorithms, primarily for exploring large parameter spaces. As computers become …

Cet exposé est consacré aux valeurs aux entiers s⩾ 2 de la fonction zêta de Riemann,
définie par ζ (s)=∑∞ n= 1 n− s. Quand s= 2k est pair, on sait que ζ (2k) π− 2k est un nombre …

Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet
hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then …

This book grew out of lectures given by the first author at Queen's University during 2006
and lectures by the second author at the Chennai Mathematical Institute during 2008. These …

By modifying Beukers' proof of Apéry's theorem that $\zeta (3) $ is irrational, we derive
criteria for irrationality of Euler's constant, $\gamma $. For $ n> 0$, we define a double …

Many odd zeta values are irrational Page 1 Many odd zeta values are irrational Stéphane
Fischler, Johannes Sprang and Wadim Zudilin Compositio Math. 155 (2019), 938–952. doi:10.1112/S0010437X1900722X …