THE MELLIN TRANSFORM OF THE SQUARE OF RIEMANN'S ZETA-FUNCTION
نویسندگان
چکیده
منابع مشابه
The Mellin transform of the square of Riemann’s zeta-function
This function, when k = 2, was introduced by Y. Motohashi [15] (see also [16]), and its properties were further studied in [10] and [11]. The latter work also contains some results on the function Z1(s), which is the principal object of the study in this paper. It was shown that Z1(s) is regular for σ > −3/4, except for a double pole at s = 1. The principal part of the Laurent expansion of Z1(s...
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This function, when k = 2, was introduced by Y. Motohashi [15] (see also [16]), and its properties were further studied in [10] and [11]. The latter work also contains some results on the function Z1(s), which is the principal object of the study in this paper. It was shown that Z1(s) is regular for σ > −3/4, except for a double pole at s = 1. The principal part of the Laurent expansion of Z1(s...
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ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2005
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042105000042