18 citations · 42 across the 23 of their papers we have counts for
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math.NT2010
Meromorphic Continuation of the Goldbach generating function
Gautami Bhowmik, Jan-Christoph Schlage-Puchta
We consider the Dirichlet series associated to the number of representations of an integer as the sum of primes. Assuming the Riemann hypothesis on the distribution of the zeros of…
math.NT2010★ 3 cited
Essential singularities of Euler products
Gautami Bhowmik, Jan-Christoph Schlage-Puchta
We classify singularities of Dirichlet series having Euler products which are rational functions for p and p^{-s} for p a prime number and give examples of natural boundaries from…
math.NT2010★ 2 cited
Analytic Continuation of some zeta functions
Gautami Bhowmik
This is an expository paper on the meromorphic continuation of zeta functions with Euler products (for example zeta functions of groups and height zeta functions) or without (for e…