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

Makoto Ishibashi

Acta Arithmetica (1998)

  • Volume: 86, Issue: 3, page 239-244
  • ISSN: 0065-1036

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Makoto Ishibashi. "ℚ-linear relations of special values of the Estermann zeta function." Acta Arithmetica 86.3 (1998): 239-244. <http://eudml.org/doc/207193>.

@article{MakotoIshibashi1998,
author = {Makoto Ishibashi},
journal = {Acta Arithmetica},
keywords = {Estermann zeta function; ℚ-linear relation; Leopoldt's character coordinate; Special algebraic numbers; Estermann's zeta function; Bernoulli numbers; Bernoulli polynomials},
language = {eng},
number = {3},
pages = {239-244},
title = {ℚ-linear relations of special values of the Estermann zeta function},
url = {http://eudml.org/doc/207193},
volume = {86},
year = {1998},
}

TY - JOUR
AU - Makoto Ishibashi
TI - ℚ-linear relations of special values of the Estermann zeta function
JO - Acta Arithmetica
PY - 1998
VL - 86
IS - 3
SP - 239
EP - 244
LA - eng
KW - Estermann zeta function; ℚ-linear relation; Leopoldt's character coordinate; Special algebraic numbers; Estermann's zeta function; Bernoulli numbers; Bernoulli polynomials
UR - http://eudml.org/doc/207193
ER -

References

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  1. [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. [2] K. Girstmair, Character coordinates and annihilators of cyclotomic numbers, Manuscripta Math. 59 (1987), 375-389. Zbl0624.12006
  3. [3] H. Hasse, Über die Klassenzahl Abelscher Zahlkörper, Akademie-Verlag, Berlin, 1952. 
  4. [4] M. Ishibashi, The value of the Estermann zeta functions at s=0, Acta Arith. 73 (1995), 357-361. Zbl0845.11034
  5. [5] K. Iwasawa, Lectures on p-adic L-functions, Ann. of Math. Stud. 74, Princeton Univ. Press, Princeton, N.J., 1972. Zbl0236.12001
  6. [6] M. Jutila, On exponential sums involving the divisor function, J. Reine Angew. Math. 355 (1985), 173-190. Zbl0542.10032
  7. [7] I. Kiuchi, On an exponential sum involving the arithmetic function σ a ( n ) , Math. J. Okayama Univ. 29 (1987), 93-105. 
  8. [8] H. W. Leopoldt, Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers, J. Reine Angew. Math. 201 (1959), 119-149. Zbl0098.03403
  9. [9] Y. Motohashi, Riemann-Siegel Formula, Lecture Notes, Univ. of Colorado, Boulder, 1987. 

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