p进l函数对泛函方程的结果

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2019-10-05 DOI:10.1007/s12188-019-00208-5

Cédric Dion, Florian Sprung

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引用次数: 0

摘要

我们证明了在超奇异素数p处椭圆曲线的p进l函数的泛函方程的结果。结果包括了首项和次项之间的关系(我们使用了Wuthrich和Bianchi的思想)，消失阶的奇偶性结果，以及p进l函数共轭扭转下Iwasaswa不变量的不变性。

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Consequences of functional equations for pairs of p-adic L-functions

We prove consequences of functional equations of p-adic L-functions for elliptic curves at supersingular primes p. The results include a relationship between the leading and sub-leading terms (for which we use ideas of Wuthrich and Bianchi), a parity result of orders of vanishing, and invariance of Iwasaswa invariants under conjugate twists of the p-adic L-functions.

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.