15 citations · 32 across the 12 of their papers we have counts for
20 papers
Iterated integrals and cohomology
Kathrin Bringmann, Nikolaos Diamantis
We introduce an extension of the standard cohomology which is characterised by maps that fail to be classical cocycles by products of simpler maps. The construction is motivated by…
Modular iterated integrals associated with cusp forms
Nikolaos Diamantis
We construct an explicit family of modular iterated integrals which involves cusp forms. This leads to a new method of producing "invariant versions" of iterated integrals of modul…
Period functions associated to real-analytic modular forms
Nikolaos Diamantis, Joshua Drewitt
We define L-functions for the class of real-analytic modular forms recently introduced by F. Brown. We establish their main properties and construct the analogue of period polynomi…
Shifted convolutions and a conjecture by Mazur, Rubin and Stein
Nikolaos Diamantis, Jeffrey Hoffstein, Mehmet Kıral +1
In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved.
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…
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…