For every positive integer m, there is a unique Drinfeld modular function, holomorphic on the Drinfeld upper-half plane, j m (z) with the following t-expansion These functions are analogs of certain modular functions from the classical theory that have many fascinating properties. For example, they
โฆ LIBER โฆ
Wronskian determinants and the zeros of certain functions
โ Scribed by M Voorhoeve; A.J Van Der Poorten
- Publisher
- Elsevier Science
- Year
- 1975
- Weight
- 370 KB
- Volume
- 78
- Category
- Article
- ISSN
- 1385-7258
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โฆ Synopsis
By relating the problem to the study of the number of zeros of certain wronskian determinants, estimates are found for the number of zeros on the real line of functions of a certain class. This class is instanced by functions of the shape m Z Pt(@ exp Qd-4 k=l where the Pa, QI~ are polynomials and the Qk have real coefficients.
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