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A new simple proof of Stirling's formula via the partial fraction expansion for the tangent function is presented.

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An observation on Hall-Littlewood polynomials.

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We settle in the affirmative the Graham-Sloane conjecture.

Combinatorics · Mathematics 2022-01-10 Edinah K. Gnang , Michael Peretzian Williams

In this paper we constructed new q-extension of Bernstein polynomials. Fron those q-Berstein polynomials, we give some interesting properties and we investigate some applications related this q-Bernstein polynomials.

Number Theory · Mathematics 2015-05-19 Taekyun Kim

By using a new test function and the gradient estimate technique, we obtain a better Bernstein type result of translating solitons.

Differential Geometry · Mathematics 2022-05-03 Hongbing Qiu

In this paper, we introduce a new family of codes relevent for rank and sum-rank metrics. These codes are based on an effective Chinese remainders theorem for linearized polynomials over finite fields. We propose a decoding algorithm for…

Rings and Algebras · Mathematics 2025-05-22 Philippe Gaborit , Camille Garnier , Olivier Ruatta

We give a sketch for an alternative proof of a recent result by J. Tseng.

Number Theory · Mathematics 2009-09-23 Nikolay G. Moshchevitin

In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones

Functional Analysis · Mathematics 2025-10-28 Murphy E. Egwe , Funke Yusuf

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

Statistical Mechanics · Physics 2012-01-17 Ranjan Kumar Ghosh

In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.

Number Theory · Mathematics 2023-10-26 Samit Dasgupta , Mahesh Kakde , Jesse Silliman , Jiuya Wang

We provide new sufficient conditions under which Ryser's conjecture holds.

Number Theory · Mathematics 2025-09-03 Antun Domic , Luis H. Gallardo

The paper contains an alternative proof of M. Kontsevich Formality Theorem.

Quantum Algebra · Mathematics 2007-05-23 Dmitry E. Tamarkin

We obtain some results related to Romanoff's theorem.

Number Theory · Mathematics 2023-09-26 Artyom Radomskii

We obtain another proof of Hermite's integral for the Hurwitz zeta function.

Classical Analysis and ODEs · Mathematics 2009-08-12 Donal F Connon

We study an inequality suggested by Littlewood, our result refines a result of Bennett.

Classical Analysis and ODEs · Mathematics 2011-01-19 Peng Gao

We prove a new q-analogue of Nicomachus's Theorem about the sum of cubes and some related results.

Combinatorics · Mathematics 2014-04-04 Johann Cigler

The aim of this paper is to give a proof of improving of Zalcman's lemma.

Complex Variables · Mathematics 2020-08-11 P. V. Dovbush

Extending the idea in [Impagliazzo, R., Moore, C. and Russell, A., An entropic proof of Chang's inequality. SIAM Journal on Discrete Mathematics, 28(1), pp.173-176.] we give a short information theoretic proof for Chang's lemma that is…

Discrete Mathematics · Computer Science 2020-05-25 Lianna Hambardzumyan , Yaqiao Li

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

Number Theory · Mathematics 2013-04-30 Hao Pan , Yong Zhang

We survey the classical results of the Dirichlet Approximation Theorem.

Classical Analysis and ODEs · Mathematics 2007-05-23 Yong-Cheol Kim