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arXiv · 1710.00412

Relations de Manin d'ordre 2 v\'erifi\'ees par le polyn\^ome des bi-p\'eriodes d'un couple de formes modulaires

Nicolas Provost
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Abstract

Manin's relations characterize period polynomials of a modular form. In this paper, we propose a finite set of relations checked by bi-period polynomials of a couple of forms. Then we construct an Eisenstein part of depth 2 which essentially completed the set of bi-periods polynomials among polynomials canceled by the relations. By giving a computational description of that part, we prove a result of irrationality of ratio of the periods for some weights.

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Nicolas Provost. 2017-10-01. Relations de Manin d'ordre 2 v\'erifi\'ees par le polyn\^ome des bi-p\'eriodes d'un couple de formes modulaires. https://arxiv.org/abs/1710.00412

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