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Showing 1 to 3 of 3 for “"Apery"”.
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Shannon extensions of regular local rings. Lefschetz properties for Gorenstein graded algebras associated to Apery Sets.
… di Gorenstein associate in modo naturale agli Apery set di semigruppi numerici. A questo scopo, viene provato un risultato generale sul trasferimento della proprietà di Lefschetz debole da un'algebra Artiniana Gorenstein ad un suo quoziente modulo un ideale colon.
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Congruence Properties of Fourier Coefficients of Modular Forms
… of these coefficients. First, we extend the Apery number supercongruence, proving an observation of Rodriguez-Villegas. Second, we prove an analogue of Newman's Conjecture with prime-power moduli for a class of partition functions. Finally, we prove some results about the integrality of …
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A numerical investigation of Apéry-like recursions and related Picard-Fuchs equations
… generalization of a recursion which was used by Apery in his proof of irrationality of the zeta function values at 2 and 3. It is a continuation of the work of Zagier , who considered generalization of the first equation and numerically investigated it. The study is made for two generalizations …