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Theta sums of higher index
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In this paper, we obtain some behaviours of theta sums of higher index for the Schr{\"o}dinger-Weil representation of the Jacobi group associated with a positive definite symmetric real matrix of degree $m$.
Abstract
In this paper, we obtain some behaviours of theta sums of higher index for the Schr{\"o}dinger-Weil representation of the Jacobi group associated with a positive definite symmetric real matrix of degree $m$.
참고문헌 (29)
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관련 논문AI추천
Weber functions and generalized theta-functions associated with Hecke operatorsA. A. Aygunes장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호Exact formula for Jacobi-Eisenstein series of square free discriminant lattice indexRan Xiong대한수학회 · 대한수학회보2020 · 제57권 제2호A Note on Maass-Jacobi Forms II양재현경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제1호On values of Jacobi forms and elliptic Dedekind sumsAbdelmejid Bayad장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제2호Estimates for certain shifted convolution sums involving Hecke eigenvaluesGuodong Hua대한수학회 · 대한수학회논문집2023 · 제38권 제2호A note on vector-valued Eisenstein series of weight $3/2$Ran Xiong대한수학회 · 대한수학회보2021 · 제58권 제2호
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