On a positivity property of the Riemann ξ-function
Acta Arithmetica (1999)
- Volume: 89, Issue: 3, page 217-234
- ISSN: 0065-1036
Access Full Article
topHow to cite
topJeffrey C. Lagarias. "On a positivity property of the Riemann ξ-function." Acta Arithmetica 89.3 (1999): 217-234. <http://eudml.org/doc/207266>.
@article{JeffreyC1999,
author = {Jeffrey C. Lagarias},
journal = {Acta Arithmetica},
keywords = {Riemann zeta-function; Dedekind zeta-function; Mittag-Leffler expansion; algebraic number field},
language = {eng},
number = {3},
pages = {217-234},
title = {On a positivity property of the Riemann ξ-function},
url = {http://eudml.org/doc/207266},
volume = {89},
year = {1999},
}
TY - JOUR
AU - Jeffrey C. Lagarias
TI - On a positivity property of the Riemann ξ-function
JO - Acta Arithmetica
PY - 1999
VL - 89
IS - 3
SP - 217
EP - 234
LA - eng
KW - Riemann zeta-function; Dedekind zeta-function; Mittag-Leffler expansion; algebraic number field
UR - http://eudml.org/doc/207266
ER -
References
top- [1] J.-B. Bost and A. Connes, Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory, Selecta Math. 1 (1995), 411-457. Zbl0842.46040
- [2] W. F. Donoghue, Jr., Monotone Matrix Functions and Analytic Continuation, Springer, New York, 1974. Zbl0278.30004
- [3] A. Erdélyi, W. Magnus, F. Oberhettinger and R. G. Tricomi, Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953. Zbl0051.30303
- [4] A. Hinkkanen, On functions of bounded type, Complex Variables Theory Appl. 34 (1997), 119-139.
- [5] N. M. Katz and P. Sarnak, Zeros of zeta functions and symmetry, Bull. Amer. Math. Soc. 36 (1999), 1-26. Zbl0921.11047
- [6] A. Knauf, On a ferromagnetic spin chain, Comm. Math. Phys. 153 (1993), 77-115. Zbl0776.11047
- [7] N. Levinson and H. L. Montgomery, Zeros of the derivatives of the Riemann zeta-function, Acta Math. 133 (1974), 397-413. Zbl0287.10025
- [8] S. J. Patterson, An Introduction to the Theory of the Riemann Zeta Function, Cambridge Univ. Press, Cambridge, 1988. Zbl0641.10029
- [9] E. C. Titchmarsh, The Theory of the Riemann Zeta Function, 2nd ed., revised by D. R. Heath-Brown, Oxford Univ. Press, 1986. Zbl0601.10026
- [10] A. M. Turing, Some calculations of the Riemann zeta function, Proc. London Math. Soc. 3 (1953), 99-117; also in: Collected Works of A. M. Turing, Vol. I, J. L. Britton (ed.), North-Holland, 1992, 79-97. Notes, 254-261. Zbl0050.08101
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.