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On values of Jacobi forms and elliptic Dedekind sums

Abdelmejid Bayad
장전수학회 (Jangjeon Mathematical Society)|2009.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제12권 제2호|pp. 119-139|DOI 10.17777/pjms.2009.12.2.002

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초록

In this paper, we are interesting by the study of special values of The Jacobi forms in two variables DL(z; [수식]). We introduce shifted elliptic Dedekind sums in terms of values of these Jacobi forms and we state and prove their Dedekind reciprocity Laws. Furthermore, in this study, we show how to use our techniques to obtain a closed new reciprocity law for the so-called Shifted-elliptic Dedekind-Sczech Sums 1.0.1. It allows us to obtain a strong generalization of Sczech's result [23].

Abstract

In this paper, we are interesting by the study of special values of The Jacobi forms in two variables DL(z; [수식]). We introduce shifted elliptic Dedekind sums in terms of values of these Jacobi forms and we state and prove their Dedekind reciprocity Laws. Furthermore, in this study, we show how to use our techniques to obtain a closed new reciprocity law for the so-called Shifted-elliptic Dedekind-Sczech Sums 1.0.1. It allows us to obtain a strong generalization of Sczech's result [23].

참고문헌 (25)

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