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math.NT2016★ 9 cited
Converse theorems: from the Riemann zeta function to the Selberg class
Alberto Perelli
This is an expanded version of the author's lecture at the XX Congresso U.M.I., held in Siena in September 2015. After a brief review of L-functions, we turn to the classical conve…
math.NT2016★ 7 cited
Primes and prime ideals in short intervals
L. Grenié, G. Molteni, A. Perelli
We prove the analog of Cramér's short intervals theorem for primes in arithmetic progressions and prime ideals, under the relevant Riemann Hypothesis. Both results are uniform in t…