Classical automorphic forms and hypergeometric functions
β Scribed by P.F. Stiller
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 552 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that the general bisymmetric polynomials ;Gf)(y,,..., y,,; a,,..., 6,) are a limiting case of the bisymmetric, invariant polynomials ;Grr(y,,...,y,; a,,..., 6,) which characterize U(n) tensor operators (p, q,..., q. 0, . . . . 0). By taking suitable limits of a pair of difference equations f
We study the detailed structure of the distribution of Eichler Shimura periods of an automorphic form on a compact hyperbolic surface. We show that these periods do not cluster around the asymptotic period over a homology class discovered by Zelditch. 2001 Academic Press ## 0. INTRODUCTION AND RES
We develop some of the theory of automorphic forms in the function field setting. As an application, we find formulas for the number of ways a polynomial over a finite field can be written as a sum of k squares, k 2. As a consequence, we show every polynomial can be written as a sum of 4 squares. We