ℚ-linear relations of special values of the Estermann zeta function

• Autorzy: Makoto Ishibashi
• Języki publikacji: EN

Słowa kluczowe

EN

Estermann zeta function; ℚ-linear relation; Leopoldt's character coordinate

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions
• 11J99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 86
• Numer: 3
• Strony: 239-244

Daty

wydano

1998

otrzymano

1997-10-13

poprawiono

1998-04-29

Twórcy

autor

Makoto Ishibashi

• Department of Liberal Arts, Kagoshima National College of Technology, 1460-1 Shinko, Hayato-cho, Aira-gun, Kagoshima 899-51, Japan

Bibliografia

• [1] T. Estermann, On the representation of a number as the sum of two products, Proc. London Math. Soc. (2) 31 (1930), 123-133.
• [2] K. Girstmair, Character coordinates and annihilators of cyclotomic numbers, Manuscripta Math. 59 (1987), 375-389.
• [3] H. Hasse, Über die Klassenzahl Abelscher Zahlkörper, Akademie-Verlag, Berlin, 1952.
• [4] M. Ishibashi, The value of the Estermann zeta functions at s=0, Acta Arith. 73 (1995), 357-361.
• [5] K. Iwasawa, Lectures on p-adic L-functions, Ann. of Math. Stud. 74, Princeton Univ. Press, Princeton, N.J., 1972.
• [6] M. Jutila, On exponential sums involving the divisor function, J. Reine Angew. Math. 355 (1985), 173-190.
• [7] I. Kiuchi, On an exponential sum involving the arithmetic function $σ_a(n)$, Math. J. Okayama Univ. 29 (1987), 93-105.
• [8] H. W. Leopoldt, Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers, J. Reine Angew. Math. 201 (1959), 119-149.
• [9] Y. Motohashi, Riemann-Siegel Formula, Lecture Notes, Univ. of Colorado, Boulder, 1987.