Treffer: On the Values of Partial Zeta Functions of Real Quadratic Fields at Nonpositive Integers: On the values of partial zeta functions of real quadratic fields at nonpositive integers

Title:
On the Values of Partial Zeta Functions of Real Quadratic Fields at Nonpositive Integers: On the values of partial zeta functions of real quadratic fields at nonpositive integers
Authors:
C. Snyder, J. Kallies
Source:
Mathematische Nachrichten. 175:159-191
Publisher Information:
Wiley, 1995.
Publication Year:
1995
Subject Terms:
\(p\)-adic zeta-functions, real quadratic field, Zeta functions and \(L\)-functions of number fields, 0101 mathematics, Other Dirichlet series and zeta functions, Bernoulli and Euler numbers and polynomials, 01 natural sciences, partial zeta-function
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1522-2616
0025-584X
DOI:
10.1002/mana.19951750109
Access URL:
https://zbmath.org/847596
https://doi.org/10.1002/mana.19951750109
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fmana.19951750109
http://onlinelibrary.wiley.com/doi/10.1002/mana.19951750109/epdf
Rights:
Wiley Online Library User Agreement
Accession Number:
edsair.doi.dedup.....11a748bd6ceab06bcee48cd75f6ab1f5
Database:
OpenAIRE

Weitere Informationen

The authors study the partial fraction decomposition of narrow class partial zeta functions of real quadratic number fields at nonpositive integer arguments and obtain an analogue of the classical v. Staudt/Clausen Theorem. The main results follow from the study of the residues ofp‐adic zeta functions associated with ray classes of modulus (p) for all rational primesp.