Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hirzebruch functional equations and complex Krichever genera   It is well known that the two-parametric Todd genus and elliptic functions of
level $d$ define $n$-multiplicative Hirzebruch genera, if $d$ divides $n+1$.
Both these cases are particular cases of Krichever genera defined by the
Baker--Akhiezer functions. In this work the inverse problem is solved. Namely,
it is proved that only these families of functions define $n$-multiplicative
Hirzebruch genera among all the Krichever genera for all $n$.

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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas