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Number theory --- Numbers, Prime --- Nombres premiers --- 511.345 --- 511.213 --- 511.333 --- Prime numbers --- Numbers, Natural --- Additive problems with prime numbers --- Elementary prime number theory --- Distribution of primes and divisors in number fields --- 511.333 Distribution of primes and divisors in number fields --- 511.213 Elementary prime number theory --- 511.345 Additive problems with prime numbers --- Nombres, Théories des --- Fonctions speciales --- Fonctions zeta

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Number theory --- Arithmetic functions --- Fonctions arithmétiques --- NUMBERS, THEORY of --- Functions, Arithmetic --- Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Arithmetic functions. --- 511.33 Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Fonctions arithmétiques --- Théorie des nombres --- Numbers, Prime --- 511.33 --- Prime numbers --- Numbers, Natural --- Number study --- Numbers, Theory of --- Algebra --- Functions of complex variables --- Number theory. --- Numbers, Prime. --- Nombres premiers

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Définit les instruments d'analyse (actions, conséquences et état du monde, préférences en univers incertain, prime de risque et dominance stochastique...) et les applique à trois exemples de comportements individuels (choix de portefeuille, demande d'assurances et décision de production).

Risk --- Economics, Mathematical --- Econometrics --- AA / International- internationaal --- 330.00 --- Economische en sociale theorieën: algemeenheden. --- Economische en sociale theorieën: algemeenheden --- Économie politique --- ECONOMIE --- PRIME DE RISQUE --- BOURSE --- DOMINANCE STOCHASTIQUE --- INCERTITUDE --- PORTEFEUILLE

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Belgique ; histoire --- Belgique ; politique --- België ; geschiedenis --- België ; politiek --- Prime ministers --- Premiers ministres --- Biography. --- Biographie --- Belgium --- Belgique --- Politics and government --- Politique et gouvernement --- Bibliographie --- Ministres --- Politique --- 342.518-057.16 --- 342.518 <44> --- -#SBIB:323H21 --- 328.13 <493> --- 342.518 <493> --- #C9011 --- BE / Belgium - België - Belgique --- 323.0 --- Chancellors (Prime ministers) --- Chief ministers (Prime ministers) --- First ministers (Prime ministers) --- Premiers (Prime ministers) --- Cabinet officers --- Heads of state --- Regering. Ministers. Ministeriële bevoegdheid. Staatssecretaris. MInistercomite--?-057.16 --- Regering. Ministers. Ministeriële bevoegdheid. Staatssecretaris. MInistercomite--Frankrijk --- Biography --- Belgische politieke instellingen: regering --- Binnenlandse politiek: algemeenheden. --- -Politics and government --- -pouvoir executif --- histoire politique --- belgique --- uitvoerende macht --- politieke geschiedenis --- belgie --- organisation de l'etat --- politique intérieure générale --- staatsorganisatie --- binnenlandse politiek algemeen --- 342.518 <44> Regering. Ministers. Ministeriële bevoegdheid. Staatssecretaris. MInistercomite--Frankrijk --- 342.518-057.16 Regering. Ministers. Ministeriële bevoegdheid. Staatssecretaris. MInistercomite--?-057.16 --- -Prime ministers --- -342.518-057.16 --- pouvoir executif --- -organisation de l'etat --- België --- Bélgica --- Royaume de Belgique --- Belgii︠a︡ --- Kingdom of Belgium --- Koninkrijk van België --- Königreich Belgien --- Bèlgia --- Koninkryk van België --- Königriich Belgie --- Koninkrijk België --- Belgice --- Belgice Cynerīce --- بلجيكا --- Baljīkā --- مملكة بلجيكا --- Mamlakat Baljīkā --- Belchica --- Reino de Belchica --- Belghia --- Vãsilia di Belghia --- Royômo de Bèlg·ique --- Bélxica --- Reinu de Bélxica --- Bilkiya --- Bilgasuyu --- Bilhika Qhapaqsuyu --- Belçika --- Belçika Krallığı --- Бельгия --- Бельгия Короллеге --- Belʹgii︠a︡ Korollege --- Бельгія --- Belʹhii︠a︡ --- Каралеўства Бельгія --- Karaleŭstva Belʹhii︠a︡ --- Belhika --- Bäigien --- Kinigraich Bäigien --- Belgija --- Kraljevina Belgija --- Белгия --- Regne de Bèlgica --- Бельги --- Belʹgi --- Belgické království --- Gwlad Belg --- Teyrnas Gwlad Belg --- Belgien --- Kongeriget Belgien --- Bélgii Bikéyah --- Belgiska --- Kralojstwo Belgiskej --- Belgia Kuningriik --- Βέλγιο --- Velgio --- Βασίλειο του Βελγίου --- Vasileio tou Velgiou --- Reino de Bélgica --- Belgio --- Reĝlando Belgio --- Belgujo --- Belgika --- Belgje --- Belgjo --- Belgjiche --- Bheilg --- Ríocht na Beilge --- Velg --- Reeriaght ny Belg --- Belgiya --- Rìoghachd na Beilge --- Pí-li-sṳ̀ --- Belʹjmudin Nutg --- Pelekiuma --- Regno del Belgio --- בלגיה --- Belgiyah --- ממלכת בלגיה --- Mamlekhet Belgiyah --- Belgijskô --- Pow Belg --- Ruwvaneth Belgek --- Ububiligi --- Ububirigi --- Igihugu cyʼUbubirigi --- Ubelgiji --- Ufalme wa Ubelgiji --- Belezi --- Nsi ya ntotila ya Belezi --- Bèljik --- Beljika --- Beļgeja --- Beļg̓ijas Karaliste --- Belsch --- Kinnekräich Belsch --- Belgijos Karalystė --- Belsj --- Keuninkriek Belsj --- Beldjym --- Belga Királyság --- Белгија --- ベルギー --- Berugī --- #SBIB:323H21 --- Binnenlandse politiek: algemeenheden --- Internal politics --- History of Belgium and Luxembourg --- anno 1800-1999 --- Prime ministers - Belgium - Biography --- Belgium - Politics and government - 1830-1914 --- Belgium - Politics and government - 1914 --- INSTITUTIONS POLITIQUES --- BELGIQUE --- MARTENS (WILFRIED) --- BIOGRAPHIES --- MARTENS (WILFRIED), HOMME POLITIQUE BELGE, 1936 --- -POLITIQUE ET GOUVERNEMENT --- 1944 --- -BIOGRAPHIE --- POLITIQUE ET GOUVERNEMENT --- 1951 --- -HISTOIRE --- 20E SIECLE --- BIOGRAPHIE --- HISTOIRE

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An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet.Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their existence and uniqueness, and treats p-adic logarithms and p-adic regulators. He proves a formula of Leopoldt for the values of p-adic L-functions at s=1. The formula was announced in 1964, but a proof has never before been published. Finally, he discusses some applications, especially the strong relationship with cyclotomic fields.

Number theory --- 511.6 --- Algebraic number theory --- L-functions --- Functions, L --- -Number theory --- Algebraic number fields --- Algebraic number theory. --- L-functions. --- 511.6 Algebraic number fields --- -511.6 Algebraic number fields --- Abelian extension. --- Absolute value. --- Algebraic closure. --- Algebraic number field. --- Algebraic number. --- Algebraically closed field. --- Arithmetic function. --- Class field theory. --- Complex number. --- Conjecture. --- Cyclotomic field. --- Dirichlet character. --- Existential quantification. --- Finite group. --- Integer. --- L-function. --- Mellin transform. --- Meromorphic function. --- Multiplicative group. --- P-adic L-function. --- P-adic number. --- Power series. --- Prime number. --- Quadratic field. --- Rational number. --- Real number. --- Root of unity. --- Scientific notation. --- Series (mathematics). --- Special case. --- Subgroup. --- Theorem. --- Topology. --- Nombres, Théorie des