Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros
被引:6
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作者:
Garunkstis, Ramunas
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机构:
Vilnius Univ, Dept Math & Informat, Naugarduko 24, LT-03225 Vilnius, LithuaniaVilnius Univ, Dept Math & Informat, Naugarduko 24, LT-03225 Vilnius, Lithuania
Garunkstis, Ramunas
[1
]
Laurincikas, Antanas
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机构:
Vilnius Univ, Dept Math & Informat, Naugarduko 24, LT-03225 Vilnius, LithuaniaVilnius Univ, Dept Math & Informat, Naugarduko 24, LT-03225 Vilnius, Lithuania
Laurincikas, Antanas
[1
]
机构:
[1] Vilnius Univ, Dept Math & Informat, Naugarduko 24, LT-03225 Vilnius, Lithuania
Riemann zeta-function;
Riemann hypothesis;
Discrete mean square;
THEOREM;
LANDAU;
D O I:
10.1007/s10998-017-0228-6
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Assume the Riemann hypothesis. On the right-hand side of the critical strip, we obtain an asymptotic formula for the discrete mean square of the Riemann zeta-function over imaginary parts of its zeros.
机构:
Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory, 1, MoscowDepartment of Mathematical Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory, 1, Moscow
机构:
Vilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, LithuaniaVilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, Lithuania
Balinskaite, Violeta
Laurincikas, Antanas
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机构:
Vilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, Lithuania
Inst Math & Informat, LT-08663 Vilnius, LithuaniaVilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, Lithuania
机构:
Harish Chandra Res Inst, Dept Math, Chhatnag Rd Jhunsi, Allabahad 211019, India
Kerala Sch Math, Kozhikode 673571, Kerala, IndiaHarish Chandra Res Inst, Dept Math, Chhatnag Rd Jhunsi, Allabahad 211019, India
Chakraborty, Kalyan
Kanemitsu, Shigeru
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机构:Harish Chandra Res Inst, Dept Math, Chhatnag Rd Jhunsi, Allabahad 211019, India
Kanemitsu, Shigeru
Laurincikas, Antanas
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机构:
Kyushu Inst Thechnol, Fac Engn, Sensuicho 1-1, Kitakyushu 8048555, Japan
Vilnius Univ, Inst Math, Fac Math & Informat, Naugarduko g 24, LT-03225 Vilnius, LithuaniaHarish Chandra Res Inst, Dept Math, Chhatnag Rd Jhunsi, Allabahad 211019, India
机构:
Vilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, LithuaniaVilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, Lithuania
Laurincikas, Antanas
Siauciunas, Darius
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机构:
Vilnius Univ, Siauliai Acad, Reg Dev Inst, P Visinskio Str 25, LT-76351 Shiauliai, LithuaniaVilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, Lithuania