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High-Dimensional D. H. Lehmer Problem over Quarter Intervals
- Source :
- Abstr. Appl. Anal., Abstract and Applied Analysis, Vol 2014 (2014)
- Publication Year :
- 2014
- Publisher :
- Hindawi, 2014.
-
Abstract
- The high-dimensional D. H. Lehmer problem over quarter intervals is studied. By using the properties of character sum and the estimates of DirichletL-function, the previous result is improved to be the best possible in the case ofq = p, an odd prime withp≡1(mod 4), which is shown by studying the mean square value of the error term.
- Subjects :
- Article Subject
lcsh:Mathematics
Applied Mathematics
Mathematics::Number Theory
Mathematical analysis
Value (computer science)
Function (mathematics)
High dimensional
lcsh:QA1-939
Quarter (United States coin)
Dirichlet distribution
Prime (order theory)
Term (time)
Combinatorics
symbols.namesake
Character sum
symbols
Analysis
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Abstr. Appl. Anal., Abstract and Applied Analysis, Vol 2014 (2014)
- Accession number :
- edsair.doi.dedup.....6ae1e22bdf7c78a47acca1c0bf16b80a