# Bihomogeneous forms in many variables

Damaris Schindler^{[1]}

- [1] Hausdorff Center for Mathematics Endenicher Allee 62 53115 Bonn, Germany

Journal de Théorie des Nombres de Bordeaux (2014)

- Volume: 26, Issue: 2, page 483-506
- ISSN: 1246-7405

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topSchindler, Damaris. "Bihomogeneous forms in many variables." Journal de Théorie des Nombres de Bordeaux 26.2 (2014): 483-506. <http://eudml.org/doc/275801>.

@article{Schindler2014,

abstract = {We count integer points on varieties given by bihomogeneous equations using the Hardy-Littlewood method. The main novelty lies in using the structure of bihomogeneous equations to obtain asymptotics in generically fewer variables than would be necessary in using the standard approach for homogeneous varieties. Also, we consider counting functions where not all the variables have to lie in intervals of the same size, which arises as a natural question in the setting of bihomogeneous varieties.},

affiliation = {Hausdorff Center for Mathematics Endenicher Allee 62 53115 Bonn, Germany},

author = {Schindler, Damaris},

journal = {Journal de Théorie des Nombres de Bordeaux},

language = {eng},

month = {10},

number = {2},

pages = {483-506},

publisher = {Société Arithmétique de Bordeaux},

title = {Bihomogeneous forms in many variables},

url = {http://eudml.org/doc/275801},

volume = {26},

year = {2014},

}

TY - JOUR

AU - Schindler, Damaris

TI - Bihomogeneous forms in many variables

JO - Journal de Théorie des Nombres de Bordeaux

DA - 2014/10//

PB - Société Arithmétique de Bordeaux

VL - 26

IS - 2

SP - 483

EP - 506

AB - We count integer points on varieties given by bihomogeneous equations using the Hardy-Littlewood method. The main novelty lies in using the structure of bihomogeneous equations to obtain asymptotics in generically fewer variables than would be necessary in using the standard approach for homogeneous varieties. Also, we consider counting functions where not all the variables have to lie in intervals of the same size, which arises as a natural question in the setting of bihomogeneous varieties.

LA - eng

UR - http://eudml.org/doc/275801

ER -

## References

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