In this talk I give an introduction to generalizations of the Riemann zeta function called "Weyl group multiple Dirichlet series". Weyl group multiple Dirichlet series are sums in several variables whose coefficients involve Gauss sums and also reflect the combinatorics of a given root system. ... These functions and their residues unify and generalize a number of examples which have been previously treated individually, often with applications to number theory. ...

... 3 Андреев Михаил 211, алг-1 3 Антропов Александр 101, алг-2, дискр-экв3 3 Асташов Евгений 204, оду-1 9 Бажов Иван 207, алг-2, дискр-1, оду-1, экстр-1 3 Богачев Николай 101, алг-3, дискрэкв3, ан-3, экстр-экв3 8 Брагин Владимир 102, шк межд-1, алг-2 2 Бурлаков Даниил 225, мех-3, оду-3 4 Воро бьев Илья 211, дискр-2, вер-2 13 Горинов Евгений 206, алг-2, дискрэкв2, геом-1, экстр-экв2, студмежд-1 6 Григорьев Сергей 209, алг-2, оду-3, геом-1 3 Грибушин Иван 212, дискр-экв2, экстр-экв3. ...