All Outputs (2)

Holomorphic automorphic forms and cohomology (2018)
Journal Article
Bruggeman, R., Choie, Y. J., & Diamantis, N. (2018). Holomorphic automorphic forms and cohomology. Memoirs of the American Mathematical Society, 253(1212), 1-182. https://doi.org/10.1090/memo/1212

© 2018 by the American Mathematical Society. All rights reserved. We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 this corresp... Read More about Holomorphic automorphic forms and cohomology.

Period polynomials, derivatives of L-functions, and zerosof polynomials (2018)
Journal Article
Diamantis, N., & Rolen, L. (2018). Period polynomials, derivatives of L-functions, and zerosof polynomials. Research in the Mathematical Sciences, 5, Article 9. https://doi.org/10.1007/s40687-018-0126-4

Period polynomials have long been fruitful tools for the study of values of L-functions in the context of major outstanding conjectures. In this paper, we survey some facets of this study from the perspective of Eichler cohomology. We discuss ways to... Read More about Period polynomials, derivatives of L-functions, and zerosof polynomials.