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Titlebook: Analytic Number Theory; Chaohua Jia,Kohji Matsumoto Book 2002 Springer Science+Business Media Dordrecht 2002 Arithmetic.Diophantine approx

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https://doi.org/10.1007/978-1-4757-3621-2Arithmetic; Diophantine approximation; Prime; average; equation; function; number theory; prime number; theo
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978-1-4419-5214-1Springer Science+Business Media Dordrecht 2002
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Analytic Number Theory978-1-4757-3621-2Series ISSN 1389-2177 Series E-ISSN 2197-795X
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João Vinagre,Alípio Mário Jorge,João Gamac series .,(.) with a rational or an imaginary quadratic integer . with |.| > 1, which is related to a .-analogue of the Bessel function ..(.). The main result determines the pairs (.) with . ∈ . for which .(.) belongs to ., where . is an imaginary quadratic number field including ..
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Aljaž Osojnik,Panče Panov,Sašo Džeroskis that . for an irrational number . of finite type .. We show further that if . is an irrational number of constant type, then the discrepancy of the sequence . We extend the results much more by van der Corput’s inequality.
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Developments in Mathematicshttp://image.papertrans.cn/a/image/156539.jpg
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Hmayag Partamian,Yara Rizk,Mariette AwadWe determine all the non-normal sextic CM-fields (whose maximal totally real subfields are cyclic cubic fields) which have class number one. There are 19 non-isomorphic such fields.
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