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Eisenstein series of even weight $k \geq 2$ and integral binary quadratic forms

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arxiv 2010.10974 v2 pith:PGKC2JT2 submitted 2020-10-21 math.NT

classification math.NT
keywords eisensteinseriesweightanalyticbinaryconjecturecontinuationofeven
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abstract

We prove a conjecture of Matsusaka on the analytic continuationof hyperbolic Eisenstein series in weight $2$ on the full modular group $\mathrm{SL}_2(\mathbb{Z})$.

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