Towson University

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19992026

most citedEnhanced Thermoelectric Efficiency via Orthogonal Electrical and Thermal Conductances in Phosphorene

747 citations

Showing math.NTShow all

13 papers · 1 filter

math.NT2021

Sums of Squares: Methods for Proving Identity Families

Russell Jay Hendel

This paper presents both a method and a result. The result presents a closed formula for the sum of the first $m + 1, m \geq 0,$ squares of the sequence $F^{(k)}$ where each member is…

math.NT2019

On the size of primitive sets in function fields

Andrés Gómez-Colunga, Charlotte Kavaler, Nathan McNew +1

A set is primitive if no element of the set divides another. We consider primitive sets of monic polynomials over a finite field and find natural generalizations of many of the res…

math.NT2016

On sums of powers of almost equal primes

Angel Kumchev, Huafeng Liu

Let $k \geq 2$ and $s$ be positive integers, and let $n$ be a large positive integer subject to certain local conditions. We prove that if $s \geq k^{2} + k + 1$ and $θ > 31/40$ , then $n$ c…

math.NT2016

Random multiplicative walks on the residues modulo n

Nathan McNew

We introduce a new arithmetic function $a (n)$ defined to be the number of random multiplications by residues modulo $n$ before the running product is congruent to 0 modulo $n$ . We…

math.NT2016

On the Waring-Goldbach problem for seventh and higher powers

Angel V. Kumchev, Trevor D. Wooley

We apply recent progress on Vinogradov's mean value theorem to improve bounds for the function $H (k)$ in the Waring-Goldbach problem. We obtain new results for all exponents $k \ge…

math.NT2015★ 8 cited

On the Waring--Goldbach problem for eighth and higher powers

Angel V. Kumchev, Trevor D. Wooley

Recent progress on Vinogradov's mean value theorem has resulted in improved estimates for exponential sums of Weyl type. We apply these new estimates to obtain sharper bounds for t…