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Titlebook: Number Theory and Modular Forms; Papers in Memory of Bruce Berndt,Ken Ono Book 2003 Springer-Verlag US 2003 Lattice.Prime.continued fracti

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书目名称Number Theory and Modular Forms
副标题Papers in Memory of
编辑Bruce Berndt,Ken Ono
视频video
丛书名称Developments in Mathematics
图书封面Titlebook: Number Theory and Modular Forms; Papers in Memory of  Bruce Berndt,Ken Ono Book 2003 Springer-Verlag US 2003 Lattice.Prime.continued fracti
描述Robert A. Rankin, one of the world‘s foremost authorities on modular forms and a founding editor of .The Ramanujan Journal,. died on January 27, 2001, at the age of 85. Rankin had broad interests and contributed fundamental papers in a wide variety of areas within number theory, geometry, analysis, and algebra. To commemorate Rankin‘s life and work, the editors have collected together 25 papers by several eminent mathematicians reflecting Rankin‘s extensive range of interests within number theory. Many of these papers reflect Rankin‘s primary focus in modular forms. It is the editors‘ fervent hope that mathematicians will be stimulated by these papers and gain a greater appreciation for Rankin‘s contributions to mathematics. .This volume would be an inspiration to students and researchers in the areas of number theory and modular forms.
出版日期Book 2003
关键词Lattice; Prime; continued fraction; finite field; number theory
版次1
doihttps://doi.org/10.1007/978-1-4757-6044-6
isbn_softcover978-1-4419-5395-7
isbn_ebook978-1-4757-6044-6Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer-Verlag US 2003
The information of publication is updating

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On Dirichlet Series for Sums of Squares,e terms of Riemann Zeta function .(.) only. In this paper, we explore other arithmetical functions enjoying this remarkable property. In Theorem 2.1 below, we are able to generalize the above result and prove that if .. and .. are completely multiplicative, then we have . where . is the Dirichlet se
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On Non-Congruence Subgroups of the Analogue of the Modular Group in Characteristic ,,modular group ..(ℤ), where ℤ is the ring of rational integers. It is well-known that the smallest index of a non-congruence subgroup of .L.(ℤ) is 7. Here we compute this index for ..(.[.]). (In all but 6 cases it turns out to be 1 + ., where . is the order of ..)
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Estimates for Sums of Coefficients of Dirichlet Series with Functional Equation,tion of a specific kind. Suppose also that the root numbers of the twists are equidistributed on the unit circle. The purpose of this note is to get an estimate for the quantity . for a prime modulus ...We use a modification of the method of Chandrasekharan and Narasimhan and we use in an essential
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Estimating Additive Character Sums for Fuchsian Groups,es of these series are well known. Here we instead include an additive character and develop the properties of the resulting series. We pay particular attention to additive characters that are non-cuspidal, i.e., that are not zero on some parabolic generators. These series may be used to estimate ce
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The De Morgan Medal, the Rankin-Selberg method. The immediate application of his method was a non-trivial estimate for the coefficients of modular forms; it was used by Deligne and Serre in their work relating cusp forms to Artin .-functions, and the spirit of this method influenced Deligne’s proof of the Weil Conjectu
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