A lemma in transcendental number theory
Copyright policy ) Robert Spira;
A lemma in transcendental number theory
"LEMMA. Suppose p, q, p > qY, r, r, are positive rational integers, e> 0 and y are fixed, and all the numbers a1, aM2, ..., 9 'Mq, as well as the numbers P12, 2 . .P Pr are distinct and arranged in order of increasing absolute values, in other words, lakl _I lak+1I and |Pk| _ jIk+11. We set Ia,qI =,a, I PrI =P and suppose that there exist constants yo > 0, Yi > 0, Yo +Y < 1, such that a < (pq)Yl, f < (pq)Yo. We also suppose that there exists a constant Y2, such that the inequalities
Algebraic independence; Gel'fond's method, Transcendence (general theory)
Algebraic independence; Gel'fond's method, Transcendence (general theory)
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 1
Average
Average
Average
bronze
Beta
Related to Research communities