Work

Pair correlation of angles between reciprocal geodesics on the modular surface

Year: 2014

Type: article

Abstract: The existence of the limiting pair correlation for angles between reciprocal geodesics on the modular surface is established.An explicit formula is provided, which captures geometric information about the length of reciprocal geodesics, as well as arithmetic information about the associated reciprocal classes of binary quadratic forms.One striking feature is the absence of a gap beyond zero in the limiting distribution, contrasting with the analog Euclidean situation.

Source: Algebra & Number Theory

DOI: 10.2140/ant.2014.8.999

Authors: Florin Boca, Vicenţiu Paşol, Alexandru Popa, Alexandru Zaharescu

Institutions: University of Illinois Urbana-Champaign, IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, European Commission, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Awards: Periods of modular forms, Analytic methods in Number Theory