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# Applications of numerical systems to transcendental number theory

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## Applications of numerical systems to transcendental number theory

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→∞

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→∞

y

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→∞

→∞

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y

→∞

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n

n+1

n

n

→∞

→∞

→∞

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1

r

−⌊

p

→∞

→∞

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k=(k,l)

k

k

### i ∑

m1,...,mk,n1,...,nl≥0 m1 +···+mk+n1 +···+nl=i

### ρ(k;i)≤ ∑

m1,...,mk,n1,...,nl≥0 m1 +···+mk+n1 +···+nl=i

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### ρ(k;i) = ∑

m1,...,mk∈S,n1,...,nl∈T m1 +···+mk+n1 +···+nl=i

k=(k,l)

k

k=(k,l)

k

k=(k,l)

k

k=(k,l)

k

g

→∞

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3

3

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g

g

g

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### (1982), 438-442.

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