Results 1 to 10 of about 230 (37)
A new family of maximal curves [PDF]
Journal of the London Mathematical Society, 2018 In this article we construct for any prime power $q$ and odd $n \ge 5$, a new $\mathbb{F}_{q^{2n}}$-maximal curve $\mathcal X_n$. Like the Garcia--G\" uneri--Stichtenoth maximal curves, our curves generalize the Giulietti--Korchm\'aros maximal curve ...
Beelen, Peter, Montanucci, Maria
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Nonvanishing for cubic L-functions
Forum of Mathematics, Sigma, 2021 We prove that there is a positive proportion of L-functions associated to cubic characters over $\mathbb F_q[T]$ that do not vanish at the critical point $s=1/2$.
Chantal David +2 more
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Average value of the divisor class numbers of real cubic function fields
Open Mathematics, 2023 We compute an asymptotic formula for the divisor class numbers of real cubic function fields Km=k(m3){K}_{m}=k\left(\sqrt[3]{m}), where Fq{{\mathbb{F}}}_{q} is a finite field with qq elements, q≡1(mod3)q\equiv 1\hspace{0.3em}\left(\mathrm{mod}\hspace{0 ...
Lee Yoonjin, Lee Jungyun, Yoo Jinjoo
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Gaps in Taylor series of algebraic functions [PDF]
, 2014 Let $f$ be a rational function on an algebraic curve over the complex numbers. For a point $p$ and local parameter $x$ we can consider the Taylor series for $f$ in the variable $x$.
Dutter, Seth
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Sums of units in function fields II - The extension problem [PDF]
, 2013 In 2007, Jarden and Narkiewicz raised the following question: Is it true that each algebraic number field has a finite extension L such that the ring of integers of L is generated by its units (as a ring)?
Frei, Christopher
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Composite Rational Functions and Arithmetic Progressions [PDF]
, 2017 In this paper we deal with composite rational functions having zeros and poles forming consecutive elements of an arithmetic progression. We also correct a result published earlier related to composite rational functions having a fixed number of zeros ...
Tengely, Szabolcs
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$k$th power residue chains of global fields [PDF]
, 2010 In 1974, Vegh proved that if $k$ is a prime and $m$ a positive integer, there is an $m$ term permutation chain of $k$th power residue for infinitely many primes [E.Vegh, $k$th power residue chains, J.Number Theory, 9(1977), 179-181].
Hu, Su, Li, Yan
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On the Density of Coprime m-tuples over Holomorphy Rings [PDF]
, 2015 Let $\mathbb F_q$ be a finite field, $F/\mathbb F_q$ be a function field of genus $g$ having full constant field $\mathbb F_q$, $\mathcal S$ a set of places of $F$ and $H$ the holomorphy ring of $\mathcal S$.
Giacomo Micheli +4 more
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Galois module structure of generalized Jacobians [PDF]
, 1997 Sin ...
Rzedowski Calderón, M. +1 more
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Diophantine equations defined by binary quadratic forms over rational function fields
, 2019 We study the ``imaginary" binary quadratic form equations ax^2+bxy+cy^2+g=0 over k[t] in rational function fields, showing that a condition with respect to the Artin reciprocity map, is the only obstruction to the local-global principle for integral ...
Lv, Chang
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