5 citations · 12 across the 10 of their papers we have counts for
11 papers
On a question of Jones on tracelike vectors, cusp forms, and von Neumann algebras
Nikolaos Diamantis, Larry Rolen
Using the theory of von Neumann algebras, Vaughan Jones showed abstractly that there is a bridge between holomorphic cusp forms and random matrices. This bridge is supplied by a di…
Sums of Kloosterman sums formed with modular symbols
Nikolaos Diamantis, Solomon Friedberg, Fredrik Strömberg
We study sums of Kloosterman sums formed with a modular symbol. Employing Tauberian methods, we first give an estimate for a (Riesz) sum of Ramanujan sums formed with a modular sym…
Summation Formulas for Harmonic Maass Forms
Nikolaos Diamantis, Joshua Pimm
In a previous work (arXiv:2505.05574), a summation formula for harmonic Maass forms of polynomial growth was established. In this note, we use the theory of -series of harmonic…
Summation formulas for Hurwitz class numbers and other mock modular coefficients
Olivia Beckwith, Nikolaos Diamantis, Rajat Gupta +2
We prove a formula for weighted sums of the first coefficients of mock modular forms of moderate growth and apply it to Hurwitz class numbers and coefficients of negative half…
Period-like polynomials for -series associated with half-integral weight cusp forms
James Branch, Nikolaos Diamantis, Wissam Raji +1
Given the L-series of a half-integral weight cusp form, we construct a cohomology class with coefficients in a finite dimensional vector space in a way that parallels the Eichler c…
Derivatives of -series of weakly holomorphic cusp forms
Nikolaos Diamantis, Fredrik Strömberg
Based on the theory of -series associated with weakly holomorphic modular forms in \cite{DLRR}, we derive explicit formulas for central values of derivatives of -series as in…
Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms
Nikolaos Diamantis, Min Lee, Larry Rolen
We define an analogue of the Bol operator on spaces of weakly holomorphic modular forms of half-integral weight. We establish its main properties and relation with other objects.
L-values of harmonic Maass forms
Nikolaos Diamantis, Larry Rolen
Bruinier, Funke, and Imamoglu have proved a formula for what can philosophically be called the "central -value" of the modular -invariant. Previously, this had been heuristic…
L-series of harmonic Maass forms and a summation formula for harmonic lifts
Nikolaos Diamantis, Min Lee, Wissam Raji +1
We introduce an L-series associated with harmonic Maass forms and prove their functional equations. We establish converse theorems for these L-series and, as an application, we for…
Flat histogram quantum Monte Carlo for analytic continuation to real time
Nikolaos G. Diamantis, Efstratios Manousakis
The Quantum Monte Carlo (QMC) method can yield the imaginary-time dependence of a correlation function of an operator . The analytic continuation to real-time procee…
Flat histogram diagrammatic Monte Carlo method
Nikolaos G. Diamantis, Efstratios Manousakis
The diagrammatic Monte Carlo (Diag-MC) method is a numerical technique which samples the entire diagrammatic series of the Green's function in quantum many-body systems. In this wo…