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math.NT2010★ 3 cited
On the asymptotic expansion of the sum of the first n primes
Nilotpal Kanti Sinha
An asymptotic formula for the sum of the first n primes is derived. This result improves the previous results of P. Dusart. Using this asymptotic expansion, we prove the conjecture…
math.NT2010
On a unified theory of numbers
Nilotpal Kanti Sinha, Marek Wolf
We prove that several results in different areas of number theory such as the divergent series, summation of arithmetic functions, uniform distribution modulo one and summation ove…