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New convolutions for the number of divisors

Authors :
Cristina Ballantine
Mircea Merca
Source :
Journal of Number Theory. 170:17-34
Publication Year :
2017
Publisher :
Elsevier BV, 2017.

Abstract

We introduce new convolutions for the number of divisors function. We also provide combinatorial interpretations for some of the convolutions. In addition, we prove arithmetic properties for several restricted partitions functions used in the convolutions.

Subjects

Subjects :
010101 applied mathematics
Lambert series
Discrete mathematics
Algebra and Number Theory
010102 general mathematics
ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION
Divisor function
Data_CODINGANDINFORMATIONTHEORY
Function (mathematics)
0101 mathematics
Hardware_REGISTER-TRANSFER-LEVELIMPLEMENTATION
01 natural sciences
Mathematics

Details

ISSN :
0022314X
Volume :
170
Database :
OpenAIRE
Journal :
Journal of Number Theory
Accession number :
edsair.doi...........fbe33c655d0464b7991686cb84882db7
Full Text :
https://doi.org/10.1016/j.jnt.2016.06.007
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