Generalized Dirichlet series and b -functions

Ben Lichtin

Compositio Mathematica (1988)

  • Volume: 65, Issue: 1, page 81-120
  • ISSN: 0010-437X

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Lichtin, Ben. "Generalized Dirichlet series and $b$-functions." Compositio Mathematica 65.1 (1988): 81-120. <http://eudml.org/doc/89884>.

@article{Lichtin1988,
author = {Lichtin, Ben},
journal = {Compositio Mathematica},
keywords = {b-functions; poles of meromorphic continuations of generalized Dirichlet series},
language = {eng},
number = {1},
pages = {81-120},
publisher = {Kluwer Academic Publishers},
title = {Generalized Dirichlet series and $b$-functions},
url = {http://eudml.org/doc/89884},
volume = {65},
year = {1988},
}

TY - JOUR
AU - Lichtin, Ben
TI - Generalized Dirichlet series and $b$-functions
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 65
IS - 1
SP - 81
EP - 120
LA - eng
KW - b-functions; poles of meromorphic continuations of generalized Dirichlet series
UR - http://eudml.org/doc/89884
ER -

References

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  1. 1 Bernstein, J.The analytic continuation of generalized functions with respect to a parameter. Functional Analysis and Applications6 (1972) 273-285. Zbl0282.46038MR320735
  2. 2 Björk, J.Rings of Differential Operators. North Holland Press (1979). Zbl0499.13009MR549189
  3. 3 Cassou-Nogues, P.Prolongement de certaines séries de dirichlet. Amer. J. of Math.105 (1983) 13-58. Zbl0553.10033MR692105
  4. 4 Cassou-Nogues, P.Series de Dirichlet et integrales associees à un polynome à deux interminees. J. of Number Theory23 (1986) 1-54. Zbl0584.10022MR840014
  5. 5 Gel'Fand-Shilov. LesDistributions. Dunod (1972). 
  6. 6 Hormander, L.Linear Partial Differential Equations. Grundlehren der Mathematik, Springer-Verlag (1976). Zbl0321.35001
  7. 7 Lichtin, B.Poles of |f|2s and Roots of the B-Function (preprint). Zbl0719.32016
  8. 8 Sargos, P.Prolongement méromorphe des series de Dirichlet associees à des fractions rationnelles de plusieurs variables. Annales d'Inst. Fourier34 (1984) 83-123. Zbl0523.10026MR762695
  9. 9 Sargos, P.Croissance de certaines series de Dirichlet et applications. Journal fur die reine und angewandte Mathematik367 (1986) 139-154. Zbl0575.10035MR839128
  10. 10 Sargos, P.Polyhedres de Newton et Series de Dirichlet (preprint). 
  11. 11 Varcenko, A.N.Newton Polyhedra and estimation of oscillating integrals. Functional Analysis and Applications10 (1976) 13-38. Zbl0351.32011MR422257
  12. 12 Varcenko, A.N.Zeta function of monodromy and Newton's diagram. Inv. Math.37 (1977) 253-267. Zbl0333.14007
  13. 13 Vasil'ev, V.A.Asymptotic exponential integrals, Newton diagram, and the classification of minimal points. Functional Analysis and Applications11 (1977) 163-172. Zbl0418.28001

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