ℚ-linear relations of special values of the Estermann zeta function
Makoto Ishibashi
Acta Arithmetica, Tome 84 (1998), p. 239-244 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207193
@article{bwmeta1.element.bwnjournal-article-aav86i3p239bwm,
     author = {Makoto Ishibashi},
     title = {$\mathbb{Q}$-linear relations of special values of the Estermann zeta function},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {239-244},
     zbl = {0933.11050},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav86i3p239bwm}
}
Makoto Ishibashi. ℚ-linear relations of special values of the Estermann zeta function. Acta Arithmetica, Tome 84 (1998) pp. 239-244. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav86i3p239bwm/

[000] [1] T. Estermann, On the representation of a number as the sum of two products, Proc. London Math. Soc. (2) 31 (1930), 123-133. | Zbl 56.0174.02

[001] [2] K. Girstmair, Character coordinates and annihilators of cyclotomic numbers, Manuscripta Math. 59 (1987), 375-389. | Zbl 0624.12006

[002] [3] H. Hasse, Über die Klassenzahl Abelscher Zahlkörper, Akademie-Verlag, Berlin, 1952.

[003] [4] M. Ishibashi, The value of the Estermann zeta functions at s=0, Acta Arith. 73 (1995), 357-361. | Zbl 0845.11034

[004] [5] K. Iwasawa, Lectures on p-adic L-functions, Ann. of Math. Stud. 74, Princeton Univ. Press, Princeton, N.J., 1972. | Zbl 0236.12001

[005] [6] M. Jutila, On exponential sums involving the divisor function, J. Reine Angew. Math. 355 (1985), 173-190. | Zbl 0542.10032

[006] [7] I. Kiuchi, On an exponential sum involving the arithmetic function σa(n), Math. J. Okayama Univ. 29 (1987), 93-105.

[007] [8] H. W. Leopoldt, Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers, J. Reine Angew. Math. 201 (1959), 119-149. | Zbl 0098.03403

[008] [9] Y. Motohashi, Riemann-Siegel Formula, Lecture Notes, Univ. of Colorado, Boulder, 1987.