Equazioni differenziali -adiche e interpolazione -adica di formule classiche
Bollettino dell'Unione Matematica Italiana (2000)
- Volume: 3-B, Issue: 3, page 573-600
- ISSN: 0392-4041
Access Full Article
topAbstract
topHow to cite
topBaldassarri, Francesco. "Equazioni differenziali $p$-adiche e interpolazione $p$-adica di formule classiche." Bollettino dell'Unione Matematica Italiana 3-B.3 (2000): 573-600. <http://eudml.org/doc/194982>.
@article{Baldassarri2000,
author = {Baldassarri, Francesco},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {-adic interpolation; -adic differential equations; Gross-Koblitz formula; Morita’s -adic gamma function; Koblitz-Diamond formula; hypergeoemtric functions},
language = {ita},
month = {10},
number = {3},
pages = {573-600},
publisher = {Unione Matematica Italiana},
title = {Equazioni differenziali $p$-adiche e interpolazione $p$-adica di formule classiche},
url = {http://eudml.org/doc/194982},
volume = {3-B},
year = {2000},
}
TY - JOUR
AU - Baldassarri, Francesco
TI - Equazioni differenziali $p$-adiche e interpolazione $p$-adica di formule classiche
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/10//
PB - Unione Matematica Italiana
VL - 3-B
IS - 3
SP - 573
EP - 600
LA - ita
KW - -adic interpolation; -adic differential equations; Gross-Koblitz formula; Morita’s -adic gamma function; Koblitz-Diamond formula; hypergeoemtric functions
UR - http://eudml.org/doc/194982
ER -
References
top- ANDRÉ, Y., -adic orbifolds and -adic triangle groups, Prépublication de l'Institut de Mathématiques de Jussieu, 183, Septembre 1998. Zbl0946.14011MR1713695
- ANDERSON, G., The evaluation of Selberg sums, Comptes Rendus Acad. Sci. Paris, Sér. I, Math., 311 (1990), 469-472. Zbl0724.11063MR1076474
- ANDERSON, G., A short proof of Selberg's generalized Beta formula, Forum Math., 3 (1991), 415-417. Zbl0723.33002MR1115956
- BATEMAN, H., et al.: Higher Transcendental Functions, McGraw-Hill, 1953. Zbl0146.09301MR58756
- BALDASSARRI, F., -adic interpolation of Evans sums and deformation of the Selberg integrals: an application of Dwork's theory, Proceedings of the Taniguchi Workshop 1991 (M. Yoshida Ed.), Fukuoka1991, 7-35.
- BALDASSARRI, F., Special values of symmetric hypergeometric functions, Trans. Amer. Math. Soc., 348 (1996), 2249-2289. Zbl0870.11074MR1361637
- BALDASSARRI, F.- CHIARELLOTTO, B., Algebraic versus rigid cohomology with logarithmic coefficients, in Barsotti Memorial Symposium, Perspectives in Mathematics Vol. 15, Academic Press1994, 11-50. Zbl0833.14010MR1307391
- BERTHELOT, P., Cohomologie rigide et cohomologie rigide à support propre, to appear.
- BOSCH, S.- GÜNTZER, U., REMMERT, R., Non-archimedean Analysis, Grundlehren der math. Wissenschaften261, Springer-Verlag, 1984. Zbl0539.14017MR746961
- BERKOVICH, V., Spectral Theory and Analytic Geometry over Non-archimedean Fields, Math. Surveys and Monographs, Number 33, AMS1990. Zbl0715.14013MR1070709
- BERKOVICH, V., Smooth -adic analytic spaces are locally contractible, Inv. Math., 137 (1999), 1-84. Zbl0930.32016MR1702143
- BERTHELOT, P.- OGUS, A., Notes on Crystalline Cohomology, Mathematical Notes, Princeton University Press, Princeton N.J., 1978. Zbl0383.14010MR491705
- BOSCH, S.- LÜTKEBOHEMERT, W., Stable reduction and uniformization of abelian varieties I, Math. Ann., 270 (1985), 349-379. Zbl0554.14012MR774362
- BOSCH, S.- LÜTKEBOHEMERT, W., Stable reduction and uniformization of abelian varieties II, Inv. Math., 78 (1984), 257-297. Zbl0554.14015MR767194
- BOYARSKY, M., -adic gamma function and Dwork cohomology, Trans. Amer. Math. Soc., 257 (1980), 359-369. Zbl0475.14017MR552263
- COLMEZ, P., Intégration sur les variétés -adiques, Astérisque248, Soc. Math. de France, 1998. Zbl0930.14013MR1645429
- COLEMAN, R., Dilogarithms, regulators and -adic -functions, Inv. Math., 69 (1982), 171-208. Zbl0516.12017MR674400
- DELIGNE, P., La conjecture d Weil I, Publ. Math. I.H.E.S., 43 (1974), 273-307. Zbl0287.14001MR340258
- DIAMOND, J., Hypergeometric series with a -adic variable, Pacific J. Math. Soc., 94 (1981), 265-276. Zbl0503.12013MR628579
- DWORK, B., On the rationality of the zeta function of an algebraic variety, Amer. J. of Math., 82 (1960), 631-648. Zbl0173.48501MR140494
- DWORK, B., On the zeta function of a hypersurface, Publ. Math. IHES, 12 (1962), 5-68. Zbl0173.48601MR159823
- DWORK, B., Lectures on -adic Differential Equations, Grundlehren der mathematischen Wissenschaften253, Springer (1982), 310 pages. Zbl0502.12021MR678093
- DWORK, B., Generalized Hypergeometric Functions, Oxford Mathematical Monographs, Clarendon Press, Oxford (1990), 188 pages. Zbl0747.33001MR1085482
- GERRITZEN, L.- VAN DER PUT, M., Schottky Groups and Mumford Curves, LNM817, Springer, 1980. Zbl0442.14009MR590243
- GROSS, B.- KOBLITZ, N., Gauss sums and the -adic -function, Annals of Math., 109 (1979), 569-581. Zbl0406.12010MR534763
- ILLUSIE, L., Cohomologie de de Rham et cohomologie étale -adique (d'après G. Faltings, J.-M. Fontaine et al.), Sém. Bourbaki, Exp. 726, Astérisque, 189-190 (1990), 325-374. Zbl0736.14005MR1099881
- KATZ, N., Exponential Sums and Differential Equations, Annals of Math. Studies N. 124, Princeton Univ. Press, 1990. Zbl0731.14008MR1081536
- KOBLITZ, N., The hypergeometric function with -adic parameters, in Proceedings of the Queen's (Ontario) Number Theory Conference, 1979, 319-328. Zbl0449.12010MR634697
- LANG, S., Algebraic Number Theory, Addison-Wesley, 1970. Zbl0211.38404MR282947
- MORITA, Y., A -adic analogue of the -function, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 22 (1975), 255-266. Zbl0308.12003MR424762
- PILTANT, O., Frobenius pour les sommes de Selberg, Math. Ann., 303 (1995), 435-456. Zbl0896.11031MR1354999
- POOLE, E. G. C., Introduction to the Theory of Linear Differential Equations, Dover Publications Inc., New York (1960), 199 pages. Zbl0090.30202MR111886
- WEIL, A., Number of solutions of equations over finite fields, Bull. Amer. Math. Soc., 55 (1949), 497-508. Zbl0032.39402MR29393
- YOUNG, P. TH., Apéry numbers, Jacobi sums, and special values of generalized -adic hypergeometric functions, J. of Number Theory, 41 (1992), 231-255. Zbl0759.11042MR1164801
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.