## Algebraic de Rham theory for weakly holomorphic modular forms of level one

Publication
, Journal Article

Brown, F; Hain, R

Published in: Algebra and Number Theory

January 1, 2018

We establish an Eichler–Shimura isomorphism for weakly modular forms of level one. We do this by relating weakly modular forms with rational Fourier coefficients to the algebraic de Rham cohomology of the modular curve with twisted coefficients. This leads to formulae for the periods and quasiperiods of modular forms.

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## Published In

Algebra and Number Theory

## DOI

## ISSN

1937-0652

## Publication Date

January 1, 2018

## Volume

12

## Issue

3

## Start / End Page

723 / 750

## Related Subject Headings

- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics

### Citation

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Chicago

ICMJE

MLA

NLM

Brown, F., & Hain, R. (2018). Algebraic de Rham theory for weakly holomorphic modular forms of level one.

*Algebra and Number Theory*,*12*(3), 723–750. https://doi.org/10.2140/ant.2018.12.723Brown, F., and R. Hain. “Algebraic de Rham theory for weakly holomorphic modular forms of level one.”

*Algebra and Number Theory*12, no. 3 (January 1, 2018): 723–50. https://doi.org/10.2140/ant.2018.12.723.Brown F, Hain R. Algebraic de Rham theory for weakly holomorphic modular forms of level one. Algebra and Number Theory. 2018 Jan 1;12(3):723–50.

Brown, F., and R. Hain. “Algebraic de Rham theory for weakly holomorphic modular forms of level one.”

*Algebra and Number Theory*, vol. 12, no. 3, Jan. 2018, pp. 723–50.*Scopus*, doi:10.2140/ant.2018.12.723.Brown F, Hain R. Algebraic de Rham theory for weakly holomorphic modular forms of level one. Algebra and Number Theory. 2018 Jan 1;12(3):723–750.

## Published In

Algebra and Number Theory

## DOI

## ISSN

1937-0652

## Publication Date

January 1, 2018

## Volume

12

## Issue

3

## Start / End Page

723 / 750

## Related Subject Headings

- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics