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math.NT2017
Period polynomials, derivatives of -functions, and zeros of polynomials
Nikolaos Diamantis, Larry Rolen
Period polynomials have long been fruitful tools for the study of values of -functions in the context of major outstanding conjectures. In this paper, we survey some facets of t…
math.NT2017
Eichler cohomology and zeros of polynomials associated to derivatives of -functions
Nikolaos Diamantis, Larry Rolen
In recent years, a number of papers have been devoted to the study of roots of period polynomials of modular forms. Here, we study cohomological analogues of the Eichler-Shimura pe…
math.NT2017
Number-theoretic generalization of the Monster denominator formula
Kathrin Bringmann, Ben Kane, Steffen Löbrich +2
The denominator formula for the Monster Lie algebra is the product expansion for the modular function in terms of the Hecke system of -…