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On Exact Formulas for the Number of Integral Points

Authors :
A. L. Smirnov
Source :
Journal of Mathematical Sciences. 202:448-454
Publication Year :
2014
Publisher :
Springer Science and Business Media LLC, 2014.

Abstract

Exact formulas for the number of integral points in certain ellipses are obtained. These formulas generalize a formula of Eisenstein and belong to a rare type of exact formulas for the number of lattice points in curvilinear domains. The formulas obtained may be useful in studying the Riemann–Roch problem for arithmetic varieties.

Subjects

Subjects :
Statistics and Probability
Discrete mathematics
Curvilinear coordinates
Applied Mathematics
General Mathematics
Vector bundle
Toric variety
Type (model theory)
Ellipse
symbols.namesake
Improper integral
Exact formula
symbols
Dirichlet series
Mathematics

Details

ISSN :
15738795 and 10723374
Volume :
202
Database :
OpenAIRE
Journal :
Journal of Mathematical Sciences
Accession number :
edsair.doi...........59682e2abeaa4af252144f0fc03c5fd2

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