Related papers: A generalization of Tanaka's formula

We establish formulae of Stark type for the Stickelberger elements in the function field setting. Our result generalizes a work of Hayes and a conjecture of Gross. It is used to deduce a $p$-adic version of Rubin-Stark Conjecture and Burns…

We propose a general definition of unprojection, and prove that it indeed generalizes previous efforts.

The paper presents the generalized persistency of excitation conditions. They are not only valid for much broader range of applications than their classical counterparts but also elegantly prove the validity of the latter. The novelty and…

We give a counterexample to a recently conjectured variant of the Penrose inequality.

We present some completely monotonic functions involving the$q$-polygamma functions, our result generalizes some known results.

We settle in the affirmative the Graham-Sloane conjecture.

The works of Commichau--Grauert and Hirschowitz showed that a formal equivalence between embeddings of a compact complex manifold is convergent, if the embeddings have sufficiently positive normal bundles in a suitable sense. We show that…

We state and prove a Lemma in 1 variable Calculus, that justifies some arguments previously used to ilustrate non-uniqueness of some generalized physical quantities.

We prove a result on the existence of linear forms of a given Diophantine type.

Watson proved Kirkman's hypothesis (partially solved by Cayley). Using Lagrange Inversion, we drastically shorten Watson's computations and generalize his results at the same time.

We study the stability of certain spectra under some algebraic conditions weaker than the commutativity and we generalize many known commutative perturbation results.

A symplectic realization and some symmetries of a Rikitake type system are presented.

We prove a formula (analogous to that of Kida in classical Iwasawa theory and generalizing that of Hachimori-Matsuno for elliptic curves) giving the analytic and algebraic p-adic Iwasawa invariants of a modular eigenform over an abelian…

We obtain new average results on the conjectures of Lang-Trotter and Sato-Tate about elliptic curves.

In this note, we derive a finite summation formula and an infinite summation formula involving Harmonic numbers of order up to some order by means of several definite integrals

We prove some symmetric $q$-congruences.

We give an explicit formula for the well-known parity result for multiple zeta values as an application of the multitangent functions.

Some Titchmarsh results following Gram's law are improved in this paper.

We prove several congruences for trinomial coefficients.

An extension of the Wigner-Araki-Yanase theorem to multiplicative conserved quantities is presented and approximate versions of the theorem are discussed.