Alcohol Expectancy Questionnaire--Adolescent Version; Brief Version

Stein, L. A. R.; Katz, Brian N.; Colby, Suzanne M.; Barnett, Nancy P.; Golembeske, Charles; Lebeau-Craven, Rebecca; Monti, Peter M.

doi:10.1037/t65367-000

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2016

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“…In the context of, for example, Borcherds products [Bor98] it is an interesting question how Fourier expansions of f at cusps of Γ 0 (N )\H can be computed. If N is square free then modular symbols provide us with a satisfactory theory, which is employed, e.g., in Sage [Ste+14]. Indeed, Atkin Lehner operators act on modular symbols, and in this case permute cusps transitively.…”

Section: Period Relationsmentioning

confidence: 99%

Products of vector valued Eisenstein series

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2016

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We prove that products of at most two vector valued Eisenstein series that originate in level 1 span all spaces of cusp forms for congruence subgroups. This can be viewed as an analogue in the level aspect to a result that goes back to Rankin, and Kohnen and Zagier, which focuses on the weight aspect. The main feature of the proof are vector valued Hecke operators. We recover several classical constructions from them, including classical Hecke operators, Atkin-Lehner involutions, and oldforms. As a corollary to our main theorem, we obtain a vanishing condition for modular forms reminiscent of period relations deduced by Kohnen and Zagier in the context their previously mentioned result.

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Section: Period Relationsmentioning

confidence: 99%

Products of vector valued Eisenstein series

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2016

Forum Mathematicum

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Alcohol Expectancy Questionnaire--Adolescent Version; Brief Version

Cited by 1 publication

References 0 publications

Products of vector valued Eisenstein series

Products of vector valued Eisenstein series

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