標(biāo)題: Titlebook: Bernoulli Numbers and Zeta Functions; Tsuneo Arakawa,Tomoyoshi Ibukiyama,Masanobu Kaneko Book 2014 Springer Japan 2014 Bernoulli numbers a [打印本頁(yè)] 作者: 挑染 時(shí)間: 2025-3-21 17:48
書目名稱Bernoulli Numbers and Zeta Functions影響因子(影響力)
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書目名稱Bernoulli Numbers and Zeta Functions網(wǎng)絡(luò)公開度學(xué)科排名
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書目名稱Bernoulli Numbers and Zeta Functions被引頻次學(xué)科排名
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書目名稱Bernoulli Numbers and Zeta Functions讀者反饋學(xué)科排名
作者: 暫時(shí)休息 時(shí)間: 2025-3-21 22:35 作者: 猜忌 時(shí)間: 2025-3-22 00:53 作者: IRK 時(shí)間: 2025-3-22 05:22 作者: 憎惡 時(shí)間: 2025-3-22 11:07
https://doi.org/10.1007/978-0-387-72577-2In this chapter, we introduce Barnes’ multiple zeta function, which is a natural generalization of the Hurwitz zeta function, give an analytic continuation, and then express their special values at negative integers by using Bernoulli polynomials.作者: Handedness 時(shí)間: 2025-3-22 14:59 作者: 躲債 時(shí)間: 2025-3-22 17:26 作者: 止痛藥 時(shí)間: 2025-3-22 23:49
,The Euler–Maclaurin Summation Formula and the Riemann Zeta Function,In this chapter we give a formula that describes Bernoulli numbers in terms of Stirling numbers. This formula will be used to prove a theorem of Clausen and von Staudtin the next chapter. As an application of this formula, we also introduce an interesting algorithm to compute Bernoulli numbers.作者: 壓迫 時(shí)間: 2025-3-23 02:35 作者: ambivalence 時(shí)間: 2025-3-23 08:36
Hurwitz Numbers,In this section, we briefly introduce Hurwitz’s Hurwitz generalization of Bernoulli numbers, known as the Hurwitz numbers.作者: CROAK 時(shí)間: 2025-3-23 13:35
The Barnes Multiple Zeta Function,In this chapter, we introduce Barnes’ multiple zeta function, which is a natural generalization of the Hurwitz zeta function, give an analytic continuation, and then express their special values at negative integers by using Bernoulli polynomials.作者: cancer 時(shí)間: 2025-3-23 14:40
Poly-Bernoulli Numbers,In this chapter, we define and study a generalization of Bernoulli numbers referred to as poly-Bernoulli numbers, which is a different generalization than the generalized Bernoulli numbers introduced in Chap. 4.作者: 柔聲地說(shuō) 時(shí)間: 2025-3-23 18:49
https://doi.org/10.1007/978-4-431-54919-2Bernoulli numbers and polynomials; L-functions; MSC; 11B68, 11B73, 11M06, 11L03, 11M06, 11M32, 11M35; R作者: 配置 時(shí)間: 2025-3-23 22:53 作者: Adenoma 時(shí)間: 2025-3-24 06:19
The Relevance of Medicine in Footballl part” of .. is given by the following theorem. This result gives a foundation for studying .-adic properties of the Bernoulli numbers. It also plays a fundamental role in the theory of .-adic modular forms through the Eisenstein series [82].作者: 反復(fù)無(wú)常 時(shí)間: 2025-3-24 06:39 作者: Facet-Joints 時(shí)間: 2025-3-24 12:21
Interviews with Injured Athletes so-called prehomogeneous vector spaces. We also prove a class number formula of imaginary quadratic fields. Before that, we review the theory of multiplicative structure of ideals of quadratic field without proof.作者: Fallibility 時(shí)間: 2025-3-24 15:15
Structural properties of families,e Bernoulli numbers in connection to the study of the sums of powers of consecutive integers .. After listing the formulas for the sums of powers. up to .?=?10 (Bernoulli expresses the right-hand side without factoring), he gives a general formula involving the numbers which are known today as Berno作者: CURL 時(shí)間: 2025-3-24 22:54
The Relevance of Medicine in Footballl part” of .. is given by the following theorem. This result gives a foundation for studying .-adic properties of the Bernoulli numbers. It also plays a fundamental role in the theory of .-adic modular forms through the Eisenstein series [82].作者: GAVEL 時(shí)間: 2025-3-24 23:21
Marta Massada,Gino Kerkoffs,Paulo Amado Dirichlet character, which we define at the beginning of the first section. Bernoulli polynomials are generalizations of Bernoulli numbers with an indeterminate. These two generalizations are related, and they will appear in various places in the following chapters.作者: 消滅 時(shí)間: 2025-3-25 04:54
Injuries and Health Problems in Footballtheory of quadratic fields and quadratic forms. Since Gauss, it is well known that there is a deep relation between the ideal theory of quadratic fields (i.e. quadratic extensions of the rational number field) and integral quadratic forms. This is obvious for specialists, but textbooks which explain作者: 牛馬之尿 時(shí)間: 2025-3-25 10:06 作者: Flu表流動(dòng) 時(shí)間: 2025-3-25 15:15
Epidemiology: The Most Frequent Lesionsormulas between exponential sums or character sums and Bernoulli numbers. We often encounter such formulas when we compare the dimension formulas of modular forms obtained by the Riemann–Roch theorem and by the trace formula. Often, the exponential sums appear in the first method and the Bernoulli n作者: LIEN 時(shí)間: 2025-3-25 18:23
Injury in Athletics: Coaches’ Point of Viewand functional equation, and calculate their special values at negative integers. There are various proofs for the functional equation; here we explain the method using a contour integral. Although there would be a viewpoint that it would be too much to introduce a contour integral, it is interestin作者: 符合國(guó)情 時(shí)間: 2025-3-25 23:10
Interviews with Injured Athletes so-called prehomogeneous vector spaces. We also prove a class number formula of imaginary quadratic fields. Before that, we review the theory of multiplicative structure of ideals of quadratic field without proof.作者: Mortal 時(shí)間: 2025-3-26 03:12
Tsuneo Arakawa,Tomoyoshi Ibukiyama,Masanobu KanekoEnables readers to begin reading without any prerequisite and smoothly guides them to more advanced topics in number theory.Provides repeated treatment, from different viewpoints, of both easy and adv作者: 面包屑 時(shí)間: 2025-3-26 04:26
Springer Monographs in Mathematicshttp://image.papertrans.cn/b/image/183881.jpg作者: 主動(dòng)脈 時(shí)間: 2025-3-26 09:23
,Theorem of Clausen and von Staudt, and Kummer’s Congruence,l part” of .. is given by the following theorem. This result gives a foundation for studying .-adic properties of the Bernoulli numbers. It also plays a fundamental role in the theory of .-adic modular forms through the Eisenstein series [82].作者: 繁榮中國(guó) 時(shí)間: 2025-3-26 14:59
Generalized Bernoulli Numbers, Dirichlet character, which we define at the beginning of the first section. Bernoulli polynomials are generalizations of Bernoulli numbers with an indeterminate. These two generalizations are related, and they will appear in various places in the following chapters.作者: vibrant 時(shí)間: 2025-3-26 17:17
Class Number Formula and an Easy Zeta Function of the Space of Quadratic Forms, so-called prehomogeneous vector spaces. We also prove a class number formula of imaginary quadratic fields. Before that, we review the theory of multiplicative structure of ideals of quadratic field without proof.作者: 懶惰民族 時(shí)間: 2025-3-26 21:59
Bernoulli Numbers,e Bernoulli numbers in connection to the study of the sums of powers of consecutive integers .. After listing the formulas for the sums of powers. up to .?=?10 (Bernoulli expresses the right-hand side without factoring), he gives a general formula involving the numbers which are known today as Berno作者: GOAD 時(shí)間: 2025-3-27 01:43
,Theorem of Clausen and von Staudt, and Kummer’s Congruence,l part” of .. is given by the following theorem. This result gives a foundation for studying .-adic properties of the Bernoulli numbers. It also plays a fundamental role in the theory of .-adic modular forms through the Eisenstein series [82].作者: 顯微鏡 時(shí)間: 2025-3-27 06:38
Generalized Bernoulli Numbers, Dirichlet character, which we define at the beginning of the first section. Bernoulli polynomials are generalizations of Bernoulli numbers with an indeterminate. These two generalizations are related, and they will appear in various places in the following chapters.作者: bronchodilator 時(shí)間: 2025-3-27 09:43 作者: 擴(kuò)張 時(shí)間: 2025-3-27 15:15 作者: Ondines-curse 時(shí)間: 2025-3-27 20:52
Character Sums and Bernoulli Numbers,ormulas between exponential sums or character sums and Bernoulli numbers. We often encounter such formulas when we compare the dimension formulas of modular forms obtained by the Riemann–Roch theorem and by the trace formula. Often, the exponential sums appear in the first method and the Bernoulli n作者: 信徒 時(shí)間: 2025-3-27 23:13 作者: Armory 時(shí)間: 2025-3-28 03:17
Class Number Formula and an Easy Zeta Function of the Space of Quadratic Forms, so-called prehomogeneous vector spaces. We also prove a class number formula of imaginary quadratic fields. Before that, we review the theory of multiplicative structure of ideals of quadratic field without proof.作者: 上下倒置 時(shí)間: 2025-3-28 06:46
Book 2014he Riemann zeta function and the Dirichlet L functions, and their special values at suitableintegers; various formulas of exponential sums expressed by generalized Bernoulli numbers; the relation between ideal classes of orders of quadratic fields and equivalence classes of binary quadratic forms; c作者: judiciousness 時(shí)間: 2025-3-28 14:02 作者: Inexorable 時(shí)間: 2025-3-28 17:05 作者: 治愈 時(shí)間: 2025-3-28 22:18
Injuries and Health Problems in Footballricted treatment and sometimes it causes misunderstanding. We need the full description of this kind of relation when we explain later the relation between .-functions of prehomogeneous vector spaces and the Bernoulli numbers. So it would be a good chance to try to explain the full relation here.作者: Limerick 時(shí)間: 2025-3-28 23:50 作者: 不出名 時(shí)間: 2025-3-29 04:02 作者: incisive 時(shí)間: 2025-3-29 11:08 作者: 幼稚 時(shí)間: 2025-3-29 13:53
Structural properties of families,ng the sum of powers. He claims that he did not take “a half of a quarter of an hour” to compute the sum of tenth powers of 1 to 1, 000, which he computed correctly as 91409924241424243424241924242500.作者: Chipmunk 時(shí)間: 2025-3-29 16:38 作者: 伙伴 時(shí)間: 2025-3-29 22:54 作者: 圓錐 時(shí)間: 2025-3-30 01:55 作者: 背帶 時(shí)間: 2025-3-30 04:40 作者: 數(shù)量 時(shí)間: 2025-3-30 10:38
Injury in Athletics: Coaches’ Point of Viewn the method using a contour integral. Although there would be a viewpoint that it would be too much to introduce a contour integral, it is interesting for its own sake and useful too, so we venture to derive the functional equation from a contour integral by a method to cut out the path of the integral.作者: Mets552 時(shí)間: 2025-3-30 13:14
Special Values and Complex Integral Representation of ,-Functions,n the method using a contour integral. Although there would be a viewpoint that it would be too much to introduce a contour integral, it is interesting for its own sake and useful too, so we venture to derive the functional equation from a contour integral by a method to cut out the path of the integral.作者: Entreaty 時(shí)間: 2025-3-30 19:41 作者: squander 時(shí)間: 2025-3-30 23:38 作者: savage 時(shí)間: 2025-3-31 03:10 作者: hangdog 時(shí)間: 2025-3-31 07:12
