Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For each s ∈ N define the constant 0s with the following properties: if an entire function g(z) of type t(g)   0 there exists an entire transcendental function g(z) satisfying the display condition and t(g) < 0s + δ. The result 01 = log 2 is known due to Hardy and Polya.  provide the upper bound 0s ≤ πs/3 and improve earlier lor bounds due to Gelfond (1929) and Selberg (1941).
['Peter Bundschuh', 'Wadim Zudilin']
I am writing a research paper on a idea On theorems of Gelfond and Selberg concerning integral-valued entire functions
[{"from": "human", "value": "I am writing a research paper on a idea On theorems of Gelfond and Selberg concerning integral-valued entire functions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For each s \u2208 N define the constant 0s with the following properties: if an entire function g(z) of type t(g)   0 there exists an entire transcendental function g(z) satisfying the display condition and t(g) < 0s + \u03b4. The result 01 = log 2 is known due to Hardy and Polya.  provide the upper bound 0s \u2264 \u03c0s/3 and improve earlier lor bounds due to Gelfond (1929) and Selberg (1941)."}]