Wrońskian factorizations and Broadhurst–Mellit determinant formulae

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-11-06 DOI:10.4310/CNTP.2018.v12.n2.a5

Yajun Zhou

引用次数: 20

Abstract

Drawing on Vanhove's contributions to mixed Hodge structures for Feynman integrals in two-di\-men\-sion\-al quantum field theory, we compute two families of determinants whose entries are Bessel moments. Via explicit factorizations of certain Wronskian determinants, we verify two recent conjectures proposed by Broadhurst and Mellit, concerning determinants of arbitrary sizes. With some extensions to our methods, we also relate two more determinants of Broadhurst--Mellit to the logarithmic Mahler measures of certain polynomials.

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Wrońskian因式分解和Broadhurst-Mellit行列式公式

利用Vanhove对Feynman积分的混合Hodge结构的贡献，我们计算了两个以贝塞尔矩为元素的行列式族。通过对某些朗斯基行列式的显式分解，我们验证了Broadhurst和Mellit最近提出的关于任意大小行列式的两个猜想。通过对我们方法的一些扩展，我们还将Broadhurst- Mellit的另外两个行列式与某些多项式的对数马勒测度联系起来。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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