Results 21 to 30 of about 283 (48)
Modular equations of a continued fraction of order six
Open Mathematics, 2019 We study a continued fraction X(τ) of order six by using the modular function theory. We first prove the modularity of X(τ), and then we obtain the modular equation of X(τ) of level n for any positive integer n; this includes the result of Vasuki et al ...
Lee Yoonjin, Park Yoon Kyung
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Open Mathematics, 2019 After the significant work of Zagier on the traces of singular moduli, Jeon, Kang and Kim showed that the Galois traces of real-valued class invariants given in terms of the singular values of the classical Weber functions can be identified with the ...
Eum Ick Sun, Jung Ho Yun
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Capitulation of the 2-ideal classes of type (2, 2, 2) of some quartic cyclic number fields
Journal of Mathematical Cryptology, 2019 Let p≡3(mod4){p\equiv 3\pmod{4}} and l≡5(mod8){l\equiv 5\pmod{8}} be different primes such that pl=1{\frac{p}{l}=1} and 2p=pl4{\frac{2}{p}=\frac{p}{l}_{4}}. Put k=ℚ(l){k=\mathbb{Q}(\sqrt{l})}, and denote by ϵ its fundamental unit. Set K=k(-2pϵl){K=k(
Azizi Abdelmalek +3 more
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A counterexample to 'Algebraic function fields with small class number' [PDF]
, 2013 I give a counter example of function field over GF(2) of genus 4 with class number one.
Stirpe, Claudio
core
Rigid meromorphic cocycles for orthogonal groups
Forum of Mathematics, SigmaRigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a p-adic analogue of Borcherds’ singular theta lift.
Lennart Gehrmann +2 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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A Study of Kummer's Proof of Fermat's Last Theorem for Regular Primes [PDF]
, 2013 We study Kummer's approach towards proving the Fermat's last Theorem for regular primes. Some basic algebraic prerequisites are also discussed in this report, and also a brief history of the problem is mentioned.
Saikia, Manjil P.
core
Ray class invariants over imaginary quadratic fields
, 2011 Let $K$ be an imaginary quadratic field of discriminant less than or equal to -7 and $K_{(N)}$ be its ray class field modulo $N$ for an integer $N$ greater than 1.
Jung, Ho Yun +2 more
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An upper bound for the genus of a curve without points of small degree [PDF]
, 2012 In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and for any $p$-power $q$ there is a smooth, projective, absolutely irreducible curve over $\mathbb{F}_q$ of genus $g\leq C_p q^n$ without points of degree ...
Stirpe, Claudio
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Some remarks on K-lattices and the Adelic Heisenberg Group for CM curves
, 2015 We define an adelic version of a CM elliptic curve $E$ which is equipped with an action of the profinite completion of the endomorphism ring of $E$. The adelic elliptic curve so obtained is provided with a natural embedding into the adelic Heisenberg ...
D'Andrea, Francesco, Franco, Davide
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