The first moment of quadratic Dirichlet L-functions
Matthew P. Young (2009)
Acta Arithmetica
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Displaying similar documents to “An investigation of bounds for the regulator of quadratic fields.”
The first moment of quadratic Dirichlet L-functions
The universality of quadratic L-series for prime discriminants
Hidehiko Mishou, Hirofumi Nagoshi (2006)
Acta Arithmetica
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Derivative of generalized quadratic mean function of entire functions defined by Dirichlet series
J. S. Gupta, Manjit Singh (1973)
Annales Polonici Mathematici
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Bounding L-functions by class numbers
A. Mallik (1981)
Acta Arithmetica
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Class number divisibility of relative quadratic function fields
Yoonjin Lee (2006)
Acta Arithmetica
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The product of two Dirichlet series
Frédéric Bayart (2004)
Acta Arithmetica
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Indivisibility of class numbers of imaginary quadratic function fields
Dongho Byeon (2008)
Acta Arithmetica
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A note on the fourth moment of Dirichlet L-functions
H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
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Some identities involving the Dirichlet L-function
Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
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A family of infinite pairs of quadratic fields ℚ(√D) and ℚ(√-D) whose class numbers are both divisible by 3
Toru Komatsu (2001)
Acta Arithmetica
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Generalized multiple Dirichlet series and generalized multiple polylogarithms
Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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The class number one problem for the real quadratic fields ℚ(√((an)²+4a))
András Biró, Kostadinka Lapkova (2016)
Acta Arithmetica
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We solve unconditionally the class number one problem for the 2-parameter family of real quadratic fields ℚ(√d) with square-free discriminant d = (an)²+4a for positive odd integers a and n.
Infinite 2-class field towers of some imaginary quadratic number fields
Yutaka Sueyoshi (2004)
Acta Arithmetica
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Class number one problem for real quadratic fields of a certain type
Kostadinka Lapkova (2012)
Acta Arithmetica
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Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation
Hongfen Yuan, Valery V. Karachik (2022)
Czechoslovak Mathematical Journal
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Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.
Explicit upper bounds for |L(1,χ)| when χ(3) = 0
David J. Platt, Sumaia Saad Eddin (2013)
Colloquium Mathematicae
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Let χ be a primitive Dirichlet character of conductor q and denote by L(z,χ) the associated L-series. We provide an explicit upper bound for |L(1,χ)| when 3 divides q.
Growth of coefficients of universal Dirichlet series
A. Mouze (2007)
Annales Polonici Mathematici
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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
On annihilators of the class group of an imaginary compositum of quadratic fields
Radan Kučera (2010)
Acta Arithmetica
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An inhomogeneous Dirichlet problem for a non-hypoelliptic linear partial differential operator.
Hochmuth, Reinhard (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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