The value of the Estermann zeta functions at s=0

Makoto Ishibashi

Acta Arithmetica (1995)

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

How to cite

top

Makoto 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. [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] K. Iwasawa, Lectures on p-adic L-functions, Ann. of Math. Stud. 74, Princeton Univ. Press, Princeton, N.J., 1972. Zbl0236.12001
  4. [4] M. Jutila, On exponential sums involving the divisor function, J. Reine Angew. Math. 355 (1985), 173-190. Zbl0542.10032
  5. [5] I. Kiuchi, On an exponential sum involving the arithmetic function σ a ( n ) , Math. J. Okayama Univ. 29 (1987), 93-205. Zbl0643.10032
  6. [6] Y. Motohashi, Riemann-Siegel Formula, Lecture Notes, University of Colorado, Boulder, 1987. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.