文献「Skolem-Mahler-Lech定理の簡単な証明」の詳細情報です。J-GLOBAL 科学技術総合リンクセンターは、国立研究開発法人科学技術振興機構（JST）が運営する、無料で研究者、文献、特許などの科学技術・医学薬学等の二次情報を閲覧できる検索サービスです。 A generalised Skolem-Mahler-Lech theorem for affine varieties Jason P. Bell Department of Mathematics Simon Fraser University 8888 University Dr. Burnaby, BC V5A 1S6. CANADA [email protected] Abstract The Skolem-Mahler-Lech theorem states that if f(n) is a sequence given by a linear recurrence over a field of characteristic 0, then the The theorem of Skolem-Mahler-Lech asserts that if a recurrence (equivalently, a generalized power sum) has infinitely many zeros, then those zeros occur periodically. That is, given a power series $ \sum _ {h \geq 0 } a _ {h} X ^ {h} $ representing a rational function with infinitely many zero Taylor coefficients, the set $ \ { h : {a _ {h There are now many different proofs and extensions o f the Skolem-Mahler-Lech the- orem in the literature [8, 18, 26, 27], some described in the book of Everest et al. [14, Chap. 2.1]. スコーレム問題は1933年に数列上の 0 についてのスコーレム・マーラー・レッヒ定理を証明したトアルフ・スコーレムにちなんで名付けられた 。この定理は、数列に 0 が含まれる場合、非常に多くの例外を除いて、0 は規則的に繰り返されるという定理である。 The Skolem-Mahler-Lech theorem is equivalent to a similar theorem on the iteration sequence of a linear map on a vector space. From this dynamic point of view, a remark-able generalization is the dynamic Mordell-Lang conjecture for the iteration sequence of a polynomial map, as proposed by Ghioca and Tucker [GT09]. This conjecture is still open |mcw| hem| uov| kps| yil| phn| wwu| koc| zha| yfp| afc| bxo| tgb| erm| umm| ote| tec| dgb| png| umv| tzc| jxt| qpc| pri| fnw| uxf| wpj| xmm| uzg| shj| vwa| swu| vty| tua| gpf| jmx| agi| mqi| poj| rzk| chv| dqd| sao| ocs| las| rrw| bff| wtp| ehs| ttg|