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Local densities of alternating forms

โœ Scribed by Yumiko Hironaka; Fumihiro Sato


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
723 KB
Volume
33
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES


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In this paper, we give an explicit from formula for the local density number of representing a two by two 2-integral matrix T by a quadratic 2-integral lattice L over Z 2 : The non-dyadic case was dealt in a previous paper. The special case when L is a (maximal) lattice in the space of trace zero el

Local Zeta Functions on Hermitian Forms
โœ Yumiko Hironaka ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 420 KB

We give an explicit description of functional equations satisfied by zeta functions on the space of unramified hermitian forms over a p-adic field. Further, as an application, we give explicit expressions of local densities of integral representations of nondegenerate unramified hermitian matrices w

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โœ H. Katsurada ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 974 KB

We study the power series attached to local densities defined by the author (Tรดholu Math. J. 44 (1992), 211-218). In particular, using a certain induction formula for local densities, we will determine an explicit form of its denominator. c. 1995 Academic Press, Inc.