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Sums of zeros for certain special functions

✍ Scribed by Zhang, Ruiming

Book ID
121358315
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
130 KB
Volume
21
Category
Article
ISSN
1065-2469

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In this paper, we investigate the zero distribution of various sums of polynomials of the form A + B or A + tB 0 < t < ∞ or -∞ < t < ∞ , especially for A and B monic polynomials of the same degree. More precisely, we study generalizations and analogues of x -1 n + x + 1 n and their factorizations.

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✍ Matija Kazalicki πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 123 KB

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