Found 62 Documents (Results 1–62)
\(L\)-series and transcendental numbers. (English) Zbl 1291.11102
Manickam, M. (ed.) et al., Number theory. Proceedings of the international conference on number theory and applications, Chennai, India, December 2006. In honour of Prof. T. C. Vasudevan on his sixtieth birthday. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-07-6/hbk). Ramanujan Mathematical Society Lecture Notes Series 15, 89-101 (2011).
Reviewer: Olaf Ninnemann (Berlin)
Epstein zeta function and Bloch-Wigner dilogarithm. (Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner.) (French. English summary) Zbl 1278.11072
On non-abelian Stark-type conjectures. (English. French summary) Zbl 1246.11176
Reviewer: Cornelius Greither (Neubiberg)
The Euler-Kronecker constant of a cyclotomic field. (English. French summary) Zbl 1259.11105
Reviewer: Paul Buckingham (Edmonton)
On stronger versions of Brumer’s conjecture. (English) Zbl 1270.11117
Reviewer: Andreas Nickel (Bielefeld)
Determinant formulas for zeta functions for real abelian function fields. (English) Zbl 1286.11190
Reviewer: Franz Lemmermeyer (Jagstzell)
On logarithmic derivatives of zeta functions in families of global fields. (English) Zbl 1287.11131
MSC:
11R42
On the Cyclotomic Main Conjecture for the prime 2. (English) Zbl 1242.11083
Reviewer: Andreas Nickel (Bielefeld)
Root numbers. (English) Zbl 1285.11108
Popescu, Cristian (ed.) et al., Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). IAS/Park City Mathematics Series 18, 353-448 (2011).
Reviewer: Franz Lemmermeyer (Jagstzell)
An introduction to the equivariant Tamagawa number conjecture: the relation to Stark’s conjecture. (English) Zbl 1282.11148
Popescu, Cristian (ed.) et al., Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). IAS/Park City Mathematics Series 18, 125-152 (2011).
Reviewer: Andreas Nickel (Bielefeld)
Special values of \(L\)-functions at negative integers. (English) Zbl 1260.11067
Popescu, Cristian (ed.) et al., Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). IAS/Park City Mathematics Series 18, 103-124 (2011).
Reviewer: Andreas Nickel (Bielefeld)
Integral and \(p\)-adic refinements of the abelian Stark conjecture. (English) Zbl 1260.11068
Popescu, Cristian (ed.) et al., Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). IAS/Park City Mathematics Series 18, 45-101 (2011).
Reviewer: Andreas Nickel (Bielefeld)
The origin of the “Stark conjectures”. (English) Zbl 1263.11100
Popescu, Cristian (ed.) et al., Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). IAS/Park City Mathematics Series 18, 33-44 (2011).
Reviewer: Władysław Narkiewicz (Wrocław)
Stark’s basic conjecture. (English) Zbl 1263.11101
Popescu, Cristian (ed.) et al., Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). IAS/Park City Mathematics Series 18, 7-31 (2011).
Reviewer: Władysław Narkiewicz (Wrocław)
On the analogy between Deninger dynamical systems and the Weil-étale topos. (Sur l’analogie entre le système dynamique de Deninger et le topos Weil-étale.) (French. English summary) Zbl 1308.14020
Reviewer: Feng-Wen An (Hubei)
On mean values of some arithmetic functions in number fields. (English) Zbl 1249.11106
Reviewer: Eira J. Scourfield (Egham)
On the convergence of the Dirichlet series of an Artin \(L\)-function. (English) Zbl 1255.11056
Reviewer: Chun-Gang Ji (Nanjing)
An inequality obtained via unstable lattices of rank 2. (English. Russian original) Zbl 1237.11044
Russ. Math. Surv. 66, No. 4, 813-815 (2011); translation from Usp. Mat. Nauk 66, No. 4, 183-184 (2011).
Reviewer: Oleg Karpenkov (Graz)
Galois invariance of local root numbers. (English) Zbl 1260.11071
Reviewer: Yuval Z. Flicker (Columbus)
Transcendental values of class group \(L\)-functions. (English) Zbl 1281.11071
Reviewer: Sanoli Gun (Chennai)
On exceptions in the Brauer-Kuroda relations. (English) Zbl 1244.20013
Reviewer: Franz Lemmermeyer (Jagstzell)
On derivatives of Artin \(L\)-series. (English) Zbl 1239.11128
Reviewer: Cornelius Greither (Neubiberg)
Arithmetic of \(L\)-functions. Lecture notes from the IAS/Park City Mathematics Institute (PCMI) graduate summer school, Park City, UT, USA, 2009. (English) Zbl 1226.11004
IAS/Park City Mathematics Series 18. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study. (ISBN 978-0-8218-5320-7/hbk). xiv, 499 p. (2011).
Stickelberger elements and Kolyvagin systems. (English) Zbl 1257.11099
Reviewer: Andreas Nickel (Bielefeld)
Hilbert modular forms and the Gross-Stark conjecture. (English) Zbl 1250.11099
Reviewer: David Loeffler (Coventry)
Proof of the main conjecture of noncommutative Iwasawa theory for totally real number fields in certain cases. (English) Zbl 1242.11084
Reviewer: Otmar Venjakob (Heidelberg)
Computing with Hecke Grössencharacters. (English) Zbl 1280.11071
Actes de la conférence “Théorie des nombres et applications”. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2011, 119-135 (2011).
Asymptotic methods in number theory and algebraic geometry. (English) Zbl 1280.11070
Actes de la conférence “Théorie des nombres et applications”. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2011, 47-73 (2011).
On the “main conjecture” of equivariant Iwasawa theory. (English) Zbl 1228.11165
Reviewer: Andreas Nickel (Regensburg)
On absolute CM-periods. (English. Japanese original) Zbl 1305.11055
Sugaku Expo. 24, No. 1, 53-72 (2011); translation from Sūgaku 59, No. 4, 380-398 (2007).
On \(\log L\) and \(L^\prime/L\) for \(L\)-functions and the associated “\(M\)-functions”: connections in optimal cases. (English) Zbl 1255.11041
Reviewer: Władysław Narkiewicz (Wrocław)
Modeling \(\lambda \)-invariants by \(p\)-adic random matrices. (English) Zbl 1231.11127
Reviewer: Lawrence C. Washington (College Park)
The average behavior of the coefficients of Dedekind zeta function over square numbers. (English) Zbl 1261.11073
Reviewer: Tatyana L. Todorova (Sofia)
A cohomological Tamagawa number formula. (English) Zbl 1230.11084
Reviewer: Francesc Bars Cortina (Bellaterra)
Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields. (English) Zbl 1282.11150
Reviewer: Lejla Smajlovic (Sarajevo)
Inductive construction of the \(p\)-adic zeta functions for noncommutative \(p\)-extensions of exponent \(p\) of totally real fields. (English) Zbl 1238.11100
Reviewer: Andreas Nickel (Bielefeld)
Tate conjecture for twisted Siegel modular threefolds. (English) Zbl 1247.11082
Reviewer: G. K. Sankaran (Bath)
Leading terms of Artin \(L\)-series at negative integers and annihilation of higher \(K\)-groups. (English) Zbl 1254.11096
Reviewer: Paul Buckingham (Edmonton)
On the equivariant Tamagawa number conjecture in tame CM-extensions. (English) Zbl 1222.11133
Reviewer: Cornelius Greither (Neubiberg)
A formula for the discriminant of number fields. (English) Zbl 1237.11049
Reviewer: Tauno Metsänkylä (Turku)
Deconstruction of a Dirichlet-Nazimow formula. (English) Zbl 1287.11126
Reviewer: Franz Lemmermeyer (Jagstzell)
A complete determination of Rabinowitsch polynomials. (English) Zbl 1290.11145
Reviewer: Richard A. Mollin (Calgary)
On certain arithmetic functions \(\tilde M(s; z_{1}; z_{2})\) associated with global fields: analytic properties. (English) Zbl 1234.11119
Reviewer: Roma Kačinskaitė (Siauliai)
The ideal class groups of dihedral extensions over imaginary quadratic fields and the special values of the Artin \(L\)-function. (English) Zbl 1248.11083
Reviewer: Alexey Zykin (Moskva)
Tate conjecture for twisted Picard modular surfaces. (English) Zbl 1283.11086
Reviewer: Yuval Z. Flicker (Columbus)
On the zeta function associated with module classes of a number field. (English) Zbl 1242.11090
Reviewer: Denis Ibadula (Constanta)
The fractional Galois ideal for arbitrary order of vanishing. (English) Zbl 1221.11222
Reviewer: Cornelius Greither (Neubiberg)
Lower bounds for the Artin conductor. (English) Zbl 1231.11146
Reviewer: Florin Nicolae (Berlin)
The universality theorem for class group \(L\)-functions. (English) Zbl 1273.11161
Reviewer: Władysław Narkiewicz (Wrocław)
Explicit Brauer induction. With applications to algebra and number theory. Reprint of the 1994 hardback ed. (English) Zbl 1209.20005
Cambridge Studies in Advanced Mathematics 40. Cambridge: Cambridge University Press (ISBN 978-0-521-17273-8/pbk). 422 p. (2011).
On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modular forms. (English) Zbl 1226.11070
Reviewer: Florin Nicolae (Berlin)
Refined class number formulas and Kolyvagin systems. (English) Zbl 1225.11144
Reviewer: Florin Nicolae (Berlin)
A non-abelian Stickelberger theorem. (English) Zbl 1222.11130
Reviewer: Andreas Nickel (Regensburg)
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