Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refined upper bounds for the linear Diophantine problem of Frobenius   We study the Frobenius problem: given relatively prime positive integers
a_1,...,a_d, find the largest value of t (the Frobenius number g(a_1,...,a_d))
such that m_1 a_1 + ... m_d a_d = t has no solution in nonnegative integers
m_1,...,m_d. We introduce a method to compute upper bounds for g(a_1,a_2,a_3),
which seem to grow considerably slower than previously known bounds. Our
computations are based on a formula for the restricted partition function,
which involves Dedekind-Rademacher sums, and the reciprocity law for these
sums.

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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an