# The value of the Estermann zeta functions at s=0

Acta Arithmetica (1995)

- Volume: 73, Issue: 4, page 357-361
- ISSN: 0065-1036

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top## How to cite

topMakoto Ishibashi. "The value of the Estermann zeta functions at s=0." Acta Arithmetica 73.4 (1995): 357-361. <http://eudml.org/doc/206825>.

@article{MakotoIshibashi1995,

author = {Makoto Ishibashi},

journal = {Acta Arithmetica},

keywords = {zeros of sums; linear independence; Estermann zeta-function; Dirichlet series; cyclotomic field},

language = {eng},

number = {4},

pages = {357-361},

title = {The value of the Estermann zeta functions at s=0},

url = {http://eudml.org/doc/206825},

volume = {73},

year = {1995},

}

TY - JOUR

AU - Makoto Ishibashi

TI - The value of the Estermann zeta functions at s=0

JO - Acta Arithmetica

PY - 1995

VL - 73

IS - 4

SP - 357

EP - 361

LA - eng

KW - zeros of sums; linear independence; Estermann zeta-function; Dirichlet series; cyclotomic field

UR - http://eudml.org/doc/206825

ER -

## References

top- [1] T. Estermann, On the representation of a number as the sum of two products, Proc. London Math. Soc. (2) 31 (1930), 123-133. Zbl56.0174.02
- [2] K. Girstmair, Character coordinates and annihilators of cyclotomic numbers, Manuscripta Math. 59 (1987), 375-389. Zbl0624.12006
- [3] K. Iwasawa, Lectures on p-adic L-functions, Ann. of Math. Stud. 74, Princeton Univ. Press, Princeton, N.J., 1972. Zbl0236.12001
- [4] M. Jutila, On exponential sums involving the divisor function, J. Reine Angew. Math. 355 (1985), 173-190. Zbl0542.10032
- [5] I. Kiuchi, On an exponential sum involving the arithmetic function ${\sigma}_{a}\left(n\right)$, Math. J. Okayama Univ. 29 (1987), 93-205. Zbl0643.10032
- [6] Y. Motohashi, Riemann-Siegel Formula, Lecture Notes, University of Colorado, Boulder, 1987.

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