An analogue in certain unique factorization domains of the Euclid-Euler theorem on perfect numbers.
An Analogue of Artin-Schreier Theorem.
An analogue of class-number in higher dimensions.
An analogue of Pfister's local-global principle in the burnside ring
Let be a Galois extension with Galois group . We study the set of -linear combinations of characters in the Burnside ring which give rise to -linear combinations of trace forms of subextensions of which are trivial in the Witt ring W of . In particular, we prove that the torsion subgroup of coincides with the kernel of the total signature homomorphism.
An Analogue of Stickelberger's Theorem for the Higher K-Groups.
An analogue of the Erdős-Ginzburg-Ziv theorem for quadratic symmetric polynomials.
An analogue of the Thue-Morse sequence.
An analogue of the Weierstrass ζ-function in characteristic p
An analogue of the Weil representation for G2.
An analysis of GCD and LCM matrices via the -factorization.
An analytic construction of degenerating curves over complete local rings
An analytic function and iterated integrals
An annihilator for the -Selmer group by means of Heegner points
Let be a modular elliptic curve, and let be an imaginary quadratic field. We show that the -Selmer group of over certain finite anticyclotomic extensions of , modulo the universal norms, is annihilated by the «characteristic ideal» of the universal norms modulo the Heegner points. We also extend this result to the anticyclotomic -extension of . This refines in the current contest a result of [1].
An Apéry-like difference equation for Catalan's constant.
An application of a formula of Western to the evaluation of certain Jacobsthal sums
An application of a lower bound for linear forms in two logarithms to the Terai-Jeśmanowicz conjecture
An Application of a Theorem of Deuring and Safarevic.
An application of Banach algebra techniques for multiplicative functions.
An application of Catalan numbers on Cayley tree of order 2: Single polygon counting.
An application of dihedral fields to representations of primes by binary quadratic forms