On a common refinement of Stark units and Gross–Stark units: On a common refinement of Stark units and Gross-Stark units

Συγγραφείς: Kashio, Tomokazu

Πηγή: Journal of the London Mathematical Society. 111

Θεματικοί όροι: Mathematics - Number Theory, Analytic theory of abelian varieties, abelian integrals and differentials, Zeta functions and \(L\)-functions, 11G15, 11R27, 11R37, 11R42, 11R80, 11S40, 11S80, 14F30, 14K20, 14K22, 33B15, Complex multiplication and moduli of abelian varieties, Units and factorization, Class field theory, \(p\)-adic cohomology, crystalline cohomology, 01 natural sciences, Totally real fields, FOS: Mathematics, Zeta functions and \(L\)-functions of number fields, Complex multiplication and abelian varieties, Number Theory (math.NT), 0101 mathematics, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Gamma, beta and polygamma functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/1706.03198

Geometric main conjectures in function fields

Συγγραφείς: Bley, Werner, Popescu, Cristian D.

Πηγή: Journal für die reine und angewandte Mathematik (Crelles Journal).

Θεματικοί όροι: Arithmetic theory of algebraic function fields, Mathematics - Number Theory, Cyclotomic function fields (class groups, Bernoulli objects, etc.), FOS: Mathematics, Integral representations related to algebraic numbers, Galois module structure of rings of integers, Zeta functions and \(L\)-functions of number fields, Number Theory (math.NT), Zeta and \(L\)-functions in characteristic \(p\), 0101 mathematics, 11G09, 11G20, 11R59, 11M38, 11R23, 11R37, 11R34, 01 natural sciences, Iwasawa theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2209.02440

Average values of L-functions in even characteristic: Average values of \(L\)-functions in even characteristic

Συγγραφείς: Hwanyup Jung, Sunghan Bae

Πηγή: Journal of Number Theory. 186:269-303

Θεματικοί όροι: Arithmetic theory of algebraic function fields, Mathematics - Number Theory, 11R11, 11R29, 11R42, 11R58, \(L\)-functions, FOS: Mathematics, Class numbers, class groups, discriminants, Zeta functions and \(L\)-functions of function fields, Zeta functions and \(L\)-functions of number fields, Number Theory (math.NT), 0101 mathematics, quadratic function fields, 01 natural sciences, class numbers

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1701.01493
http://arxiv.org/abs/1701.01493
https://zbmath.org/7003395
https://doi.org/10.1016/j.jnt.2017.10.006
https://ui.adsabs.harvard.edu/abs/2017arXiv170101493B/abstract
https://www.sciencedirect.com/science/article/pii/S0022314X17303980

AVERAGE OF CLASS NUMBERS OF SOME FAMILY OF ARTIN-SCHREIER EXTENSIONS OF RATIONAL FUNCTION FIELDS: Average of class numbers of some family of Artin-Schreier extensions of rational function fields

Συγγραφείς: Hwanyup Jung

Πηγή: Korean Journal of Mathematics. 24:601-612

Θεματικοί όροι: Arithmetic theory of algebraic function fields, Artin-Schreier extensions, \(L\)-functions, Class numbers, class groups, discriminants, Zeta functions and \(L\)-functions of number fields, 0102 computer and information sciences, 0101 mathematics, Other abelian and metabelian extensions, 01 natural sciences, class numbers

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://society.kisti.re.kr/sv/SV_svpsbs03V.do?method=download&cn1=JAKO201610236162395
http://journal.kkms.org/index.php/kjm/article/view/462
https://journal.kkms.org/index.php/kjm/article/download/462/335
http://kkms.org/index.php/kjm/article/view/462
http://kkms.org/index.php/kjm/article/download/462/335

Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH

Συγγραφείς: Grenie', L., Molteni, G.

Πηγή: Funct. Approx. Comment. Math. 57, no. 1 (2017), 21-38

Θεματικοί όροι: 11R42: Zeta functions and $L$-functions of number fields, 11Y40: Algebraic number theory computations, Mathematics - Number Theory, explicit bounds, 16. Peace & justice, 01 natural sciences, Dedekind functions, GRH, 11R42 (Primary), 11Y70 (Secondary), prime ideal theorem, 11Y70, sharper bounds, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 11R42

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1312.4463
http://arxiv.org/pdf/1602.03515
http://arxiv.org/abs/1312.4463
http://arxiv.org/abs/1602.03515
https://dblp.uni-trier.de/db/journals/moc/moc85.html#GrenieM16
https://air.unimi.it/handle/2434/526913
https://ui.adsabs.harvard.edu/abs/2013arXiv1312.4463G/abstract
https://www.arxiv-vanity.com/papers/1602.03515/
https://128.84.21.199/abs/1602.03515
https://aisberg.unibg.it/handle/10446/102652
https://projecteuclid.org/journals/functiones-et-approximatio-commentarii-mathematici/volume-57/issue-1/Explicit-versions-of-the-prime-ideal-theorem-for-Dedekind-zeta/10.7169/facm/1611.full
https://hdl.handle.net/2434/448115
https://doi.org/10.1090/mcom3031
https://hdl.handle.net/10446/58029
https://doi.org/10.1090/mcom3031
https://projecteuclid.org/euclid.facm/1493949622

Explicit smoothed prime ideals theorems under GRH

Συγγραφείς: GRENIE, Loic Andre Henri, Molteni, Giuseppe

Πηγή: Mathematics of Computation. 85:1875-1899

Θεματικοί όροι: 11R42: Zeta functions and $L$-functions of number fields, 11Y40: Algebraic number theory computations, Mathematics - Number Theory, FOS: Mathematics, algebra and number theory, applied mathematics, computational mathematics, Number Theory (math.NT), 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1312.4465
http://arxiv.org/abs/1312.4465
https://www.ams.org/mcom/earlyview/#mcom3039

Artin–Schreier extensions of the rational function field: Artin-Schreier extensions of the rational function field

Συγγραφείς: Bae, S Bae, Sunghan, Jung, H Jung, Hwanyup, Kang, PL Kang, Pyung-Lyun

Πηγή: Mathematische Zeitschrift. 276:613-633

Θεματικοί όροι: AVERAGE VALUES, L-SERIES, Arithmetic theory of algebraic function fields, \(L\)-functions, 4. Education, 0103 physical sciences, Class numbers, class groups, discriminants, orders, Zeta functions and \(L\)-functions of number fields, 0101 mathematics, 16. Peace & justice, Other abelian and metabelian extensions, 01 natural sciences, Artin-Schrier extensions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6304085
https://doi.org/10.1007/s00209-013-1215-0
https://koasas.kaist.ac.kr/handle/10203/188873
https://link.springer.com/article/10.1007/s00209-013-1215-0

On Tate’s refinement for a conjecture of Gross and its generalization: On Tate's refinement for a conjecture of Gross and its generalization

Συγγραφείς: Noboru Aoki

Πηγή: Journal de théorie des nombres de Bordeaux. 16:457-486

Θεματικοί όροι: Abelian \(L\)-functions, Zeta functions and \(L\)-functions of number fields, 0101 mathematics, Class field theory, Other abelian and metabelian extensions, 01 natural sciences, Gross's conjecture, Stickelberger element

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://jtnb.centre-mersenne.org/item/10.5802/jtnb.456.pdf
https://zbmath.org/2188527
https://doi.org/10.5802/jtnb.456
https://core.ac.uk/display/23340586
https://eudml.org/doc/249258
https://jtnb.centre-mersenne.org/item/10.5802/jtnb.456.pdf
https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.456/

Dedekind zeta functions of certain real quadratic fields

Συγγραφείς: Rongzheng Jiao, Hongwen Lu

Πηγή: Tamkang Journal of Mathematics. 37:367-375

Θεματικοί όροι: Quadratic extensions, Dedekind zeta function, Dedekind sum, Zeta functions and \(L\)-functions of number fields, 0101 mathematics, quadratic fields, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/150/158
https://zbmath.org/5232098
http://journals.math.tku.edu.tw/index.php/TKJM/article/download/150/158

Artin formalism and heat kernels

Συγγραφείς: Lang, Serge, Jorgenson, Jay

Πηγή: Collected Papers Volume V ISBN: 9781461274094

Θεματικοί όροι: asymptotic expansion, Spectral theory, trace formulas (e.g., that of Selberg), self-adjoint operator, Heat and other parabolic equation methods for PDEs on manifolds, theta functions, Selberg zeta function, Article, associated heat kernel, \(L\)-series of number fields, 510.mathematics, Langlands \(L\)-functions, one variable Dirichlet series and functional equations, infinite-dimensional analogue of one- parameter group, regularized determinant of the Laplacian, Theta functions and abelian varieties, Theta functions and curves, Schottky problem, Zeta functions and \(L\)-functions of number fields, trace, Other Dirichlet series and zeta functions, Artin formalism, characteristic kernel

Περιγραφή αρχείου: application/xml; image/jpeg; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/500758
https://doi.org/10.1515/crll.1994.447.165

On Artin’sL-functions. II: Dirichlet coefficients: On Artin's \(L\)-functions. II: Dirichlet coefficients

Συγγραφείς: Florin Nicolae

Πηγή: Journal für die reine und angewandte Mathematik (Crelles Journal). 2005:93-97

Θεματικοί όροι: Artin \(L\)-function, Zeta functions and \(L\)-functions of number fields, Dirichlet series, Other Dirichlet series and zeta functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2235896
https://doi.org/10.1515/crll.2005.2005.588.93
http://www.degruyter.com/downloadpdf/j/crll.2005.2005.issue-588/crll.2005.2005.588.93/crll.2005.2005.588.93.xml

The Rubin–Stark conjecture for a special class of function field extensions: The Rubin--Stark conjecture for a special class of function field extensions

Συγγραφείς: Cristian D. Popescu

Πηγή: Journal of Number Theory. 113:276-307

Θεματικοί όροι: regulators, class-groups, Algebra and Number Theory, Arithmetic theory of algebraic function fields, \(L\)-functions, \(\ell\)-adic homology, Units, Class-groups, Units and factorization, function fields, 01 natural sciences, ℓ-adic homology, Class-field theory, L-functions, units, Regulators, Zeta functions and \(L\)-functions of number fields, 0101 mathematics, class-field theory, Function fields

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/abs/pii/S0022314X04002173
https://core.ac.uk/display/82528424
https://www.sciencedirect.com/science/article/pii/S0022314X04002173

THE BRAUER–SIEGEL THEOREM: The Brauer-Siegel theorem

Συγγραφείς: Stéphane Louboutin

Πηγή: Journal of the London Mathematical Society. 72:40-52

Θεματικοί όροι: class number, quartic fields, cubic fields, Cubic and quartic extensions, Class numbers, class groups, discriminants, Zeta functions and \(L\)-functions of number fields, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dialnet.unirioja.es/servlet/articulo?codigo=2207427
https://academic.oup.com/jlms/article/72/1/40/864966
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/brauersiegel-theorem/2B046C4E4BA0CB59844FFE88867DE717
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610705006654
https://documat.unirioja.es/servlet/articulo?codigo=2207427
http://doi.wiley.com/10.1112/S0024610705006654

Relative $K_{0}$, annihilators, Fitting ideals and Stickelberger phenomena: Relative \(K_0\), annihilators, Fitting ideals and Stickelberger phenomena

Συγγραφείς: Victor P. Snaith

Πηγή: Proceedings of the London Mathematical Society. 90:545-590

Θεματικοί όροι: complexes, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Galois cohomology, Zeta functions and \(L\)-functions of number fields, annihilators, 0101 mathematics, 01 natural sciences, Polylogarithms and relations with \(K\)-theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.math.uiuc.edu/K-theory/0553/Stickel.pdf
https://www.cambridge.org/core/journals/proceedings-of-the-london-mathematical-society/article/relative-k0-annihilators-fitting-ideals-and-stickelberger-phenomena/A8EC3C1767F8F241F102C5F35AACDE26
https://academic.oup.com/plms/article/90/3/545/1557714
https://documat.unirioja.es/servlet/articulo?codigo=2213216
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024611504015163
https://dialnet.unirioja.es/servlet/articulo?codigo=2213216

Mean values of biquadratic zeta functions

Συγγραφείς: Gautam Chinta

Πηγή: Inventiones mathematicae. 160:145-163

Θεματικοί όροι: biquadratic extension, Cubic and quartic extensions, Zeta functions and \(L\)-functions of number fields, 0101 mathematics, central value, 01 natural sciences, zeta function

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://core.ac.uk/display/100829675
https://ui.adsabs.harvard.edu/abs/2004InMat.160..145C/abstract
https://link.springer.com/article/10.1007%2Fs00222-004-0407-y
https://link.springer.com/content/pdf/10.1007%2Fs00222-004-0407-y.pdf

Li's criterion and zero-free regions of L-functions: Li's criterion and zero-free regions of \(L\)-functions

Συγγραφείς: Francis Brown

Πηγή: Journal of Number Theory. 111:1-32

Θεματικοί όροι: Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\), Riemann and other hypotheses, Siegel zero, Li's criterion, general \(L\)-functions, Real zeros of \(L(s, \chi)\), results on \(L(1, \chi)\), Zeta functions and \(L\)-functions of number fields, 0101 mathematics, Other Dirichlet series and zeta functions, 01 natural sciences, zero-free region

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2208782
https://doi.org/10.1016/j.jnt.2004.07.016
https://www.sciencedirect.com/science/article/pii/S0022314X04001830
https://www.sciencedirect.com/science/article/abs/pii/S0022314X04001830
https://www.infona.pl/resource/bwmeta1.element.elsevier-68772a5b-a377-3c95-828a-f4fad278f13c

The multiplicative and functional independence of Dedekind zeta functions of abelian fields

Συγγραφείς: Roman Marszałek

Πηγή: Colloquium Mathematicum. 103:11-16

Θεματικοί όροι: \(\zeta (s)\) and \(L(s, \chi)\), Zeta functions and \(L\)-functions of number fields, functional independence, 0101 mathematics, Dirichlet's \(L\)-functions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/87560?download.pdf
https://zbmath.org/2211289
https://doi.org/10.4064/cm103-1-2
https://www.impan.pl/shop/publication/transaction/download/product/87560?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/colloquium-mathematicum/all/103/1/87560/the-multiplicative-and-functional-independence-of-dedekind-zeta-functions-of-abelian-fields
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-cm103-1-2
http://journals.impan.pl/cgi-bin/doi?cm103-1-2

On the distribution of algebraic numbers with prescribed factorization properties

Συγγραφείς: Maciej Radziejewski

Πηγή: Acta Arithmetica. 116:153-171

Θεματικοί όροι: Selberg class, error terms, oscillations, Asymptotic results on arithmetic functions, Zeta functions and \(L\)-functions of number fields, functional independence, Asymptotic results on counting functions for algebraic and topological structures, 0101 mathematics, Units and factorization, Mellin transforms, factorizations of distinct lengths, 01 natural sciences, Hilbert semigroup

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/82119?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/116/2/82119/on-the-distribution-of-algebraic-numbers-with-prescribed-factorization-properties
https://www.impan.pl/shop/publication/transaction/download/product/82119?download.pdf
http://ui.adsabs.harvard.edu/abs/2005AcAri.116..153R/abstract
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa116-2-4
http://journals.impan.pl/cgi-bin/doi?aa116-2-4

On Cramér’s theorem for general Euler products with functional equation: On Cramér's theorem for general Euler products with functional equation

Συγγραφείς: Lang, Serge, Jorgenson, Jay

Πηγή: Collected Papers Volume V ISBN: 9781461274094

Θεματικοί όροι: asymptotic expansion, Spectral theory, trace formulas (e.g., that of Selberg), rank one symmetric spaces, functions of Selberg type, Dirichlet series, exponential series and other series in one complex variable, Special classes of entire functions of one complex variable and growth estimates, Euler sum, 01 natural sciences, Article, ladder theorem, spectral theory of manifolds, Millson-Shintani zeta- function, Selberg zeta-functions, Riemann surfaces, 510.mathematics, eta-invariant, Langlands \(L\)-functions, one variable Dirichlet series and functional equations, regularized products, Spectral theory and eigenvalue problems for partial differential equations, Zeta functions and \(L\)-functions of number fields, functional equation, 0101 mathematics, Other Dirichlet series and zeta functions, Riemann zeta-function

Περιγραφή αρχείου: application/xml; image/jpeg; application/pdf

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/BF01459509

Stringy Hodge numbers and p-adic Hodge theory: Stringy Hodge numbers and \(p\)-adic Hodge theory

Συγγραφείς: Tetsushi Ito

Πηγή: Compositio Mathematica. 140:1499-1517

Θεματικοί όροι: Hodge structures, Mathematics - Number Theory, 14E05, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), 11R42, 11S80, \(p\)-adic cohomology, crystalline cohomology, 01 natural sciences, Mathematics - Algebraic Geometry, Hodge numbers, FOS: Mathematics, Zeta functions and \(L\)-functions of number fields, Number Theory (math.NT), Galois representation, 0101 mathematics, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Rational and birational maps, Algebraic Geometry (math.AG)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/41241E8E6F76443ED170E5681AF52F05/S0010437X04001095a.pdf/div-class-title-stringy-hodge-numbers-and-span-class-italic-p-span-adic-hodge-theory-div.pdf
http://arxiv.org/abs/math/0211378
https://www.cambridge.org/core/journals/compositio-mathematica/article/stringy-hodge-numbers-and-padic-hodge-theory/41241E8E6F76443ED170E5681AF52F05