A note on the eisenstein elements of prime square level

Debargha Banerjee

doi:10.1090/S0002-9939-2014-12097-1

A note on the eisenstein elements of prime square level

Debargha Banerjee^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We explicitly write the Eisenstein elements inside the space of modular symbols corresponding to each Eisenstein series for the congruence subgroup Γ₀(p²), answering a question of Merel. As a consequence, we also write the winding element explicitly for the congruence subgroup Γ₀(p²).

Original language	English
Pages (from-to)	3675-3686
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-2014-12097-1
Publication status	Published - 2014

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title = "A note on the eisenstein elements of prime square level",

abstract = "We explicitly write the Eisenstein elements inside the space of modular symbols corresponding to each Eisenstein series for the congruence subgroup Γ0(p2), answering a question of Merel. As a consequence, we also write the winding element explicitly for the congruence subgroup Γ0(p2).",

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AB - We explicitly write the Eisenstein elements inside the space of modular symbols corresponding to each Eisenstein series for the congruence subgroup Γ0(p2), answering a question of Merel. As a consequence, we also write the winding element explicitly for the congruence subgroup Γ0(p2).

KW - Eisenstein series

KW - Modular symbols

KW - Special values of L-functions

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DO - 10.1090/S0002-9939-2014-12097-1

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VL - 142

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EP - 3686

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

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A note on the eisenstein elements of prime square level

Abstract

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