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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
4
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$\int_L^\infty \exp(- t - y/t) \, dt = \text{?}$
References to the study of these functions which are frequently used in hydrological models. No precise bounds in the following papers but at least they give a starting point.
Harris (2008) "Incomple …
1
vote
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On the regularity of integer solutions of a simultaneous equation with consecutive prime coe...
Let $p_1$ through $p_6$ be consecutive primes in ascending order, and consider the simultaneous equation $$p_1x+p_2y=p_3\\p_4x+p_5y=p_6$$
Motivating Question: For what $p_1$ does the system provid …