標(biāo)題: Titlebook: Current Trends in Number Theory; Sukumar Das Adhikari,Shashikant A. Katre,B. Ramakr Book 2002 Hindustan Book Agency (India) 2002 [打印本頁] 作者: Nixon 時間: 2025-3-21 17:03
書目名稱Current Trends in Number Theory影響因子(影響力)
書目名稱Current Trends in Number Theory影響因子(影響力)學(xué)科排名
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書目名稱Current Trends in Number Theory網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Current Trends in Number Theory被引頻次
書目名稱Current Trends in Number Theory被引頻次學(xué)科排名
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書目名稱Current Trends in Number Theory年度引用學(xué)科排名
書目名稱Current Trends in Number Theory讀者反饋
書目名稱Current Trends in Number Theory讀者反饋學(xué)科排名
作者: jaunty 時間: 2025-3-21 21:04 作者: 退潮 時間: 2025-3-22 02:09
Sieving Using Dirichlet Series, respect to a single prime. One tries to get some .-adic analytic function to interpolate the values of the sequence and in this way study the sequence. This method can be viewed as the study of the sequence with respect to non-archimedean (or .-adic) absolute values.作者: 根除 時間: 2025-3-22 07:08
Overview: 978-93-86279-09-5作者: Fibrinogen 時間: 2025-3-22 09:19
https://doi.org/10.1007/978-3-658-35727-6term in the average .(.) = Σ.’(.). We apply the method of averaging over suitable arithmetic progressions to get an extension of the Ω-results obtained by Y.-F.S. Pétermann in the case of the sum-of-divisors function, the classical .(.).作者: Interlocking 時間: 2025-3-22 13:43 作者: Interlocking 時間: 2025-3-22 17:24
https://doi.org/10.1007/978-3-658-35727-6lex numbers, this can be done using theta function identities. Abstractly, the group law was written down by Cantor [1]. As observed by Koblitz [2], this makes it possible to use the set of points on the Jacobian of a hyperelliptic curve (or more succintly, a hyperelliptic Jacobian) over a finite field as the basis of a public-key cryptosystem.作者: 財主 時間: 2025-3-22 21:18
Springer Fachmedien Wiesbaden GmbH we give classical results on the upper bounds of the order of Aut(.). In §2, we discuss the relation between Aut(.) and .-ranks of ., when the ground field . has characteristic . > 0. Finally in §3, we give an upper bound of the orders of abelian subgroups of Aut(.).作者: Petechiae 時間: 2025-3-23 03:13
Springer Fachmedien Wiesbaden GmbHlds. We state these conjectures, and also the more recent Weil theorem for singular curves defined over finite fields. We end by remarking on some explicit results we have obtained for the zeta functions of some concrete classes of curves (both non-singular and singular) defined over a certain class of finite fields.作者: Basal-Ganglia 時間: 2025-3-23 05:58 作者: Ardent 時間: 2025-3-23 12:29 作者: construct 時間: 2025-3-23 15:12 作者: 帽子 時間: 2025-3-23 21:39 作者: 口訣法 時間: 2025-3-24 01:52
https://doi.org/10.1007/978-3-658-35727-6is the method of Dirichlet series. One associates the Dirichlet series.and tries to obtain analytic (or meromorphic) continuation of the series to a large enough domain. Then, from the analytic properties of .(.), one tries to obtain information on the growth of the coefficients, or the asymptotic p作者: 使?jié)M足 時間: 2025-3-24 04:10
https://doi.org/10.1007/978-3-658-35727-6 ?(.n)* denote the multiplicative group of non zero elements of ?(.)-the subfield of ? generated by . and .. Let .[.] be the subgroup of the multiplicative group ?(.)* generated by the elements . and 1 ? . with 1 ≤ . ≤ ., (., .) = 1. The elements of .[.], . ≥ 0 are called the cyclotomic .-units. Not作者: dura-mater 時間: 2025-3-24 07:32 作者: BOAST 時間: 2025-3-24 11:58
Springer Fachmedien Wiesbaden GmbHlds. We state these conjectures, and also the more recent Weil theorem for singular curves defined over finite fields. We end by remarking on some explicit results we have obtained for the zeta functions of some concrete classes of curves (both non-singular and singular) defined over a certain class作者: Keratectomy 時間: 2025-3-24 16:27 作者: brassy 時間: 2025-3-24 19:48
Springer Fachmedien Wiesbaden GmbHtivity, algebraicity, growth properties with respect to naturally attached parameters etc. In this expository article we will briefly describe some of those developments for a special class of automorphic .-functions which will be introduced below. Our aim is to provide the reader a glimpse of this 作者: 壁畫 時間: 2025-3-25 01:38
Springer Fachmedien Wiesbaden GmbHquestions. . Note that (±1,0) and (0, ±1) are trivial integral solutions of (1). If . denotes the set of all . satisfying (1), then . is an abelian group under the composition,.In [PS1], we proved the following theorem, which determines the structure of this group in terms of the number of complex i作者: 打擊 時間: 2025-3-25 05:20
Springer Fachmedien Wiesbaden GmbH can be viewed as updating Section 3 of [26]. Further, we shall consider an extension of (1) with . = 3 and derive a new result from a recent theorem of Bilu, Hanrot and Voutier [4] on primitive divisors of Lucas and Lehmer sequences. We shall also discuss some general results on diophantine approxi作者: 斥責(zé) 時間: 2025-3-25 11:11 作者: antidote 時間: 2025-3-25 14:31
https://doi.org/10.1007/978-3-658-35727-6The purpose of this note is to introduce the reader to some of the basic concepts in the theory of congruences between modular forms. Our exposition here has been distilled from various sources. We have especially benefited from reading the papers of Hida and Ribet some of which are listed in the references.作者: amnesia 時間: 2025-3-25 17:24 作者: 灌溉 時間: 2025-3-25 20:53 作者: 壓倒 時間: 2025-3-26 03:56
https://doi.org/10.1007/978-3-658-35727-6The view-obstruction problem was first introduced by T. W. Cusick. In his 1972 paper [10] he stated the following problem.作者: 遷移 時間: 2025-3-26 07:26
Springer Fachmedien Wiesbaden GmbHLet . denote a Dedekind domain, . its field of quotients, .(d?) a finite (of degree .) separable extension of . the integral closure of . in .. We choose . to lie in .. It is known that . is a finite .-module generated by . (≥ .) elements ., … .(say).作者: flex336 時間: 2025-3-26 12:24 作者: Vulvodynia 時間: 2025-3-26 15:40 作者: 修飾語 時間: 2025-3-26 20:18
An Introduction to Congruences Between Modular Forms,The purpose of this note is to introduce the reader to some of the basic concepts in the theory of congruences between modular forms. Our exposition here has been distilled from various sources. We have especially benefited from reading the papers of Hida and Ribet some of which are listed in the references.作者: 送秋波 時間: 2025-3-26 23:44
The Local Root Number of Elliptic Curves,In this paper, we compute the sign of the functional equation of the .-function of elliptic curves in terms of the coefficients of the Weierstra? equation.作者: 經(jīng)典 時間: 2025-3-27 04:18
On Skew-holomorphic Jacobi Forms,Let ., . be positive integers and let . be odd. Let . (mod 2.) be an integer. The theta function. where .(.) := .., . ∈ ?, satisfies the heat equation.and further it satisfies the following transformation law:.where ..(.) := .., . ∈ ?. The Poisson summation formula gives作者: GLADE 時間: 2025-3-27 09:15
The View-obstruction Problem,The view-obstruction problem was first introduced by T. W. Cusick. In his 1972 paper [10] he stated the following problem.作者: neologism 時間: 2025-3-27 13:08
Special Integral Bases with Restricted Coefficients for Extensions of Dedekind Domains,Let . denote a Dedekind domain, . its field of quotients, .(d?) a finite (of degree .) separable extension of . the integral closure of . in .. We choose . to lie in .. It is known that . is a finite .-module generated by . (≥ .) elements ., … .(say).作者: 陰郁 時間: 2025-3-27 16:15 作者: 冷漠 時間: 2025-3-27 20:12
Hindustan Book Agency (India) 2002作者: Congestion 時間: 2025-3-28 00:42 作者: 認(rèn)識 時間: 2025-3-28 05:46
On the Average of the Sum-of-odd-divisors Function,term in the average .(.) = Σ.’(.). We apply the method of averaging over suitable arithmetic progressions to get an extension of the Ω-results obtained by Y.-F.S. Pétermann in the case of the sum-of-divisors function, the classical .(.).作者: 豎琴 時間: 2025-3-28 08:38 作者: Interim 時間: 2025-3-28 11:36
The Addition Law on Hyperelliptic Jacobians,lex numbers, this can be done using theta function identities. Abstractly, the group law was written down by Cantor [1]. As observed by Koblitz [2], this makes it possible to use the set of points on the Jacobian of a hyperelliptic curve (or more succintly, a hyperelliptic Jacobian) over a finite field as the basis of a public-key cryptosystem.作者: 借喻 時間: 2025-3-28 15:09
On Automorphism Groups of Algebraic Curves, we give classical results on the upper bounds of the order of Aut(.). In §2, we discuss the relation between Aut(.) and .-ranks of ., when the ground field . has characteristic . > 0. Finally in §3, we give an upper bound of the orders of abelian subgroups of Aut(.).作者: RACE 時間: 2025-3-28 22:03
Zeta Functions for Curves Defined over Finite Fields,lds. We state these conjectures, and also the more recent Weil theorem for singular curves defined over finite fields. We end by remarking on some explicit results we have obtained for the zeta functions of some concrete classes of curves (both non-singular and singular) defined over a certain class of finite fields.作者: 闡明 時間: 2025-3-29 00:54
An Equation of Goormaghtigh and Diophantine Approximations,mations by applying them to (1). All the constants appearing in this article are effectively computable. This means that they can be determined explicitly in terms of various parameters involved. By .(.), we understand that . is a number depending only on ..作者: CUB 時間: 2025-3-29 06:29
The Cyclotomic Problem,acobi sums play an important role in this theory. The present paper is a survey of the work of a number of mathematicians on this problem and indicates the current status of the problem. Recently, Paul van Wamelen has obtained a solution to the problem for any modulus.作者: RALES 時間: 2025-3-29 10:46 作者: PLUMP 時間: 2025-3-29 12:48 作者: parasite 時間: 2025-3-29 17:45
Springer Fachmedien Wiesbaden GmbHmations by applying them to (1). All the constants appearing in this article are effectively computable. This means that they can be determined explicitly in terms of various parameters involved. By .(.), we understand that . is a number depending only on ..作者: 向外 時間: 2025-3-29 21:02 作者: Tremor 時間: 2025-3-30 01:32 作者: 消散 時間: 2025-3-30 05:58 作者: exorbitant 時間: 2025-3-30 10:04 作者: 妨礙 時間: 2025-3-30 15:12 作者: agitate 時間: 2025-3-30 18:15
Higher Circular ,-units of Anderson and Ihara,rcular .-units so as to include for consideration non-Abelian extensions of ? of certain type. These units were introduced and studied by Anderson and Ihara in [1]. This article an exposition of the result in [1] about the Higher circular .-units. At the end we discuss the question regarding the higher circular .-units raised in [1].作者: Gingivitis 時間: 2025-3-30 23:07
Reflection Representation and Theta Correspondence,lection representation Π. of .(F.) is the representation on the space of complex valued functions on ?.(F.) whose sum of values is zero. The aim of this work is to study the decomposition of the tensor product of Π. with itself and its relation with the dual pair correspondences. We find that the decomposition is “essentially multiplicity free”.作者: abysmal 時間: 2025-3-31 01:41
On the Average of the Sum-of-odd-divisors Function,term in the average .(.) = Σ.’(.). We apply the method of averaging over suitable arithmetic progressions to get an extension of the Ω-results obtained by Y.-F.S. Pétermann in the case of the sum-of-divisors function, the classical .(.).作者: AFFIX 時間: 2025-3-31 07:37
Rogers-Ramanujan Identities, (1 ? .); (.;.). = 1.) They were first discovered by Rogers in 1894. After two decades they were rediscovered by Ramanujan and Schur, independently. MacMahon [12, Theorems 364, 365 p.291], gave the following combinatorial interpretations of (1.1) and (1-2), respectively:作者: Insufficient 時間: 2025-3-31 10:57 作者: 極端的正確性 時間: 2025-3-31 16:11
The Addition Law on Hyperelliptic Jacobians,lex numbers, this can be done using theta function identities. Abstractly, the group law was written down by Cantor [1]. As observed by Koblitz [2], this makes it possible to use the set of points on the Jacobian of a hyperelliptic curve (or more succintly, a hyperelliptic Jacobian) over a finite fi作者: 執(zhí) 時間: 2025-3-31 19:43
Sieving Using Dirichlet Series,is the method of Dirichlet series. One associates the Dirichlet series.and tries to obtain analytic (or meromorphic) continuation of the series to a large enough domain. Then, from the analytic properties of .(.), one tries to obtain information on the growth of the coefficients, or the asymptotic p作者: 磨坊 時間: 2025-3-31 23:08 作者: motivate 時間: 2025-4-1 02:29
On Automorphism Groups of Algebraic Curves, we give classical results on the upper bounds of the order of Aut(.). In §2, we discuss the relation between Aut(.) and .-ranks of ., when the ground field . has characteristic . > 0. Finally in §3, we give an upper bound of the orders of abelian subgroups of Aut(.).作者: PON 時間: 2025-4-1 06:44
Zeta Functions for Curves Defined over Finite Fields,lds. We state these conjectures, and also the more recent Weil theorem for singular curves defined over finite fields. We end by remarking on some explicit results we have obtained for the zeta functions of some concrete classes of curves (both non-singular and singular) defined over a certain class作者: ethnology 時間: 2025-4-1 12:34 作者: Occlusion 時間: 2025-4-1 17:09
Some Aspects of the Central Critical Value of Automorphic ,-functions,tivity, algebraicity, growth properties with respect to naturally attached parameters etc. In this expository article we will briefly describe some of those developments for a special class of automorphic .-functions which will be introduced below. Our aim is to provide the reader a glimpse of this 作者: 創(chuàng)作 時間: 2025-4-1 19:24
Integral Points on the Circle , + , = ,questions. . Note that (±1,0) and (0, ±1) are trivial integral solutions of (1). If . denotes the set of all . satisfying (1), then . is an abelian group under the composition,.In [PS1], we proved the following theorem, which determines the structure of this group in terms of the number of complex i作者: Rinne-Test 時間: 2025-4-2 01:36
An Equation of Goormaghtigh and Diophantine Approximations, can be viewed as updating Section 3 of [26]. Further, we shall consider an extension of (1) with . = 3 and derive a new result from a recent theorem of Bilu, Hanrot and Voutier [4] on primitive divisors of Lucas and Lehmer sequences. We shall also discuss some general results on diophantine approxi作者: 有惡臭 時間: 2025-4-2 05:21
