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TRANSCENDENTAL SUMS RELATED TO THE ZEROS OF ZETA FUNCTIONS

TRANSCENDENTAL SUMS RELATED TO THE ZEROS OF ZETA FUNCTIONS

While the distribution of the non-trivial zeros of the Riemann zeta function constitutes a central theme in Mathematics, nothing is known about the algebraic nature of these non-trivial zeros. In this article, we study the transcendental nature of sums of the form where the sum is over the non-trivial zeros …