Related papers: A generalization of Carlitz's congruence

In this article we give a result obtained of an experimental way for the Euler totient function.

In this paper, we present the classification of generalized Wallach spaces and discuss some related problems.

In this paper, we give a short proof of a relation generalizing many identities for Bernoulli numbers.

We provide elementary proof of several congruences involving single sum and multisums of binomial coefficients.

We prove several Stern's type congruences for generalized bernoulli numbers.

In this paper we prove a generalization of famous Larchr's theorem concerning good lattice points.

Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other related stronger congruences.

We generalize Pappus chain theorem and give an analogue to this theorem.

We introduce and discuss a variant of Schanuel conjecture in the framework of the Carlitz exponential function over Tate algebras and allied functions. Another purpose of the present paper is to widen the horizons of possible investigations…

We prove some new results related to Tanaka's formula.

The object of this paper is to generalize a theorem on the binomial coefficient [4] to the case in an arithmetic progression. We will also give a slightly stronger result than Langevin's [2].

We give a new proof of the straightening/unstraightening correspondence by proving a generalization of the univalence property of the universal coCartesian fibration.

In this paper, by using analytical methods we obtain a generalization of the famous Kodaira embedding theorem.

We prove that a tolerance relation of a lattice is a homomorphic image of a congruence relation.

We establish a compactness result in approach theory which we apply to obtain a generalization of Prokhorov's Theorem for the continuity approach structure.

We prove that the Eulerian polynomial satisfies certain polynomial congruences. Furthermore, these congruences characterize the Eulerian polynomial.

In this paper, we obtain a generalization of an identity due to Carlitz on Bernoulli polynomials. Then we use this generalized formula to derive two symmetric identities which reduce to some known identities on Bernoulli polynomials and…

In this paper, we propose new generalizations of amicable numbers. We also give examples and prove properties of these new concepts.

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

In this paper we announce some results obtained for certain algebraic functions, which we call of cyclotomic type. The main results properly resemble von Staudt-Clausen's theorem and Kummer's congruence for the Bernoulli numbers, and such…