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On product representations of powers, I

✍ Scribed by P Erdös; A Sárközy; V.T Sós


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
878 KB
Volume
16
Category
Article
ISSN
0195-6698

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📜 SIMILAR VOLUMES


Semisimplicity of Exterior Powers of Sem
✍ George J. McNinch 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 152 KB

This paper answers a question posed by Jean-Pierre Serre; namely, a proof is given that if V is a semisimple finite dimensional representation of a group G over Ž . m a field K of characteristic p ) 0, and m dim V y mp, then H V is again a K semisimple representation of G.

Multiplicative Relations in Powers of Eu
✍ Scott Ahlgren 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 133 KB

In a recent paper, Cooper, Hirschhorn, and Lewis conjecture many relations among the coefficients of certain products of powers of Euler's product. Here we use the theory of modular forms with complex multiplication to prove these conjectures.