Discrete analogues of Macdonald-Mehta integrals
نویسندگان
چکیده
Article history: Available online 15 July 2016
منابع مشابه
Standard p - adic integrals for GL ( 2 )
The p-adic integrals evaluated here were explicitly introduced only in the later 20th century, starting with Tate and Iwasawa in 1950, by MacDonald in the 1950s, in the 1960’s by Gelfand and Piatetski-Shapiro, Jacquet, Shalika, and then by Jacquet-Langlands in 1970, although shadows of them appeared long ago in the work of Lagrange, Legendre, Gauss, Galois, and Dirichlet. From our vantage, they...
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We prove several results on monodromies associated to Macdonald integrals, that were used in our previous work on the finite field analogue of a conjecture of Macdonald. We also give a new proof of our formula expressing recursively the zeta function of the local monodromy at the origin of the discriminant of a finite Coxeter group in terms of the degrees of the group.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 144 شماره
صفحات -
تاریخ انتشار 2016