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Boonrod Yuttanan 《The Ramanujan Journal》2012,29(1-3):257-272
We give proofs for new Ramanujan-type modular equations discovered by M. Somos and establish applications of some of them. 相似文献
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It is proved that for fixed integers ${K \ge 2, D \ge 2, {\rm if} (D - 1) \mid K}$ , then there exists a unique increasing sequence (a(n)) n ≥ K of positive integers such that $$\underset{K {\rm times}}{\underbrace{a ( a ( \dots a(a}}(n)) \dots)) = Dn$$ otherwise, there are uncountably many increasing sequences of positive integers (a(n)) satisfying this iterated functional equation. This generalizes recent results of Propp and Allouche–Rampersad–Shallit. 相似文献
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