1,721,105 research outputs found
Non-linear twists of L-functions: a survey
No full textThis is a survey of recent work with J.Kaczorowski about non-linear twists of L-functions and their applications to converse theorems for the Selberg clas
A survey of the Selberg class of L-functions, part II
No full textThis is the second part of a long survey of the Selberg class theory. It contains the structure theorems and the statistical independence results
A survey of the Selberg class of L-functions, part I
No full textThis is the first part of a long survey on the Selberg class theory. It contains the basic theory
Converse theorems: from the Riemann zeta function to the Selberg class
No full textThis 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 -functions, we turn to the classical converse theorems of H.Hamburger, E.Hecke and A.Weil, and to some later developments. Finally we present several results on converse theorems in the framework of the Selberg class of -functions
Cube: an opportunity to talk about prime numbers
No full textThis is a survey about prime numbers and cryptography
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