Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic Relations among Goss's Zeta Values on Elliptic Curves   In 2007 Chang and Yu determined all the algebraic relations among Goss's zeta
values for the rational function field - these are also known as the Carlitz
zeta values. Goss raised the problem about algebraic relations among Goss's
zeta values for a general base ring A, but very little is known. In this paper
we develop a general method and determine all algebraic relations among Goss's
zeta values for the base ring A attached to an elliptic curve over a finite
field. To our knowledge, these are the first non-trivial solutions of Goss's
problem for a base ring whose class number is strictly greater than 1.

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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex