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Formulae bringing to light from certain classes of numbers and polynomials.

• Authors : Kilar, Neslihan; Kim, Daeyeoul; Simsek, Yilmaz

• Source: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Jan2023, Vol. 117 Issue 1, p1-16, 16p

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Applied Science & Technology Full Text (H.W. Wilson)

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Iterated stable numbers and iterated amicable pairs.

• Authors : Kim, Daeyeoul; Bayad, Abdelmejid; Park, Sang‐Hoon

Subjects: NATURAL numbers; ARITHMETIC functions; DIVISOR theory

• Source: Mathematical Methods in the Applied Sciences; 11/30/2021, Vol. 44 Issue 17, p12479-12499, 21p

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Arithmetic properties derived from coefficients of certain eta quotients.

• Authors : Hwang, Jihyun; Li, Yan; Kim, Daeyeoul

Subjects: MATHEMATICAL convolutions; INTEGERS

• Source: Journal of Inequalities & Applications; 4/16/2020, Vol. 2020 Issue 1, p1-23, 23p

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Arithmetical properties of double Möbius-Bernoulli numbers.

• Authors : Bayad, Abdelmejid; Kim, Daeyeoul; Li, Yan

• Source: Open Mathematics; Jan2019, Vol. 17 Issue 1, p32-42, 11p

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A generalization of Menon's identity with Dirichlet characters.

• Authors : Li, Yan; Hu, Xiaoyu; Kim, Daeyeoul

Subjects: EULER method; INTEGERS; MATHEMATICS

• Source: International Journal of Number Theory; Nov2018, Vol. 14 Issue 10, p2631-2639, 9p

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New families of special numbers and polynomials arising from applications of p-adic q-integrals.

• Authors : Kim, Daeyeoul; Ozden Ayna, Hacer; Simsek, Yilmaz

Subjects: POLYNOMIALS; FROBENIUS manifolds; COMPUTER science

• Source: Advances in Difference Equations; 7/27/2017, Vol. 2017 Issue 1, p1-11, 11p

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Polygon Numbers Associated with the Sum of Odd Divisors Function

• Authors : Kim, Daeyeoul; Bayad, Abdelmejid

• Source: Experimental Mathematics; July 2017, Vol. 26 Issue: 3 p287-297, 11p

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On the separating redundancy of extended Hamming codes.

• Authors : Liu, Haiyang; Kim, Daeyeoul; Li, Yan

• Source: 2015 IEEE Energy Conversion Congress & Exposition (ECCE); 2015, p2406-2410, 5p

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Classical analysis of time behavior of radiation fields associated with biophoton signals.

• Authors : Jeong Ryeol Choi; Daeyeoul Kim; Menouar, Salah

Subjects: BIOLOGICAL systems; NEURONS; ENERGY dissipation

• Source: Technology & Health Care; 2016 Supplement 2, Vol. 24, pS577-S585, 9p

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A property of convolution sum for divisor functions.

• Authors : Kim, Daeyeoul; Kim, Aeran

Subjects: MATHEMATICAL convolutions; DIVISOR theory; MATHEMATICAL formulas

• Source: AIP Conference Proceedings; Sep2012, Vol. 1479 Issue 1, p379-382, 4p

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Reversible quantum computation using excess-3 code.

• Authors : Yeon, Kyu Hwang; Choi, Jeong Ryeol; Kim, Daeyeoul

Subjects: QUANTUM theory; ARITHMETIC; ENERGY dissipation

• Source: AIP Conference Proceedings; 6/27/2012, Vol. 1444 Issue 1, p310-313, 4p, 2 Diagrams, 1 Chart

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Applications of Hecke Operator to Generalized Dedekind Eta Functions.

• Authors : Acikgoz, Mehmet; Cangul, Ismail Naci; Kim, Daeyeoul

Subjects: DEDEKIND sums; HECKE operators; EINSTEIN field equations

• Source: AIP Conference Proceedings; 9/9/2009, Vol. 1168 Issue 1, p568-571, 4p

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On the integral of the product of four and more Bernoulli polynomials.

• Authors : Hu, Su; Kim, Daeyeoul; Kim, Min-Soo

• Source: Ramanujan Journal; Feb2014, Vol. 33 Issue 2, p281-293, 13p

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Euler Polynomials and Combinatoric Convolution Sums of Divisor Functions with Even Indices.

• Authors : Kim, Daeyeoul; Bayad, Abdelmejid; Park, Joongsoo

Subjects: RATIONAL root theorem; POLYNOMIALS; EULER polynomials

• Source: Abstract & Applied Analysis; 2014, p1-6, 6p

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A DIOPHANTINE PROBLEM CONCERNING POLYGONAL NUMBERS.

• Authors : KIM, DAEYEOUL; PARK, YOON KYUNG; PINTÉR, ÁKOS

Subjects: DIOPHANTINE equations; POLYGONAL numbers; NUMERICAL solutions to equations

• Source: Bulletin of the Australian Mathematical Society; Oct2013, Vol. 88 Issue 2, p345-350, 6p

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Procedural modeling of trees based on convolution sums of divisor functions for real-time virtual ecosystems.

• Authors : Kim, Jinmo; Kim, Daeyeoul; Cho, Hyungje

Subjects: TREE graphs; MATHEMATICAL convolutions; DIVISOR theory

• Source: Computer Animation & Virtual Worlds; May-Aug2013, Vol. 24 Issue 3/4, p237-246, 10p

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New Finger Biometric Method Using Near Infrared Imaging.

• Authors : Lee, Eui Chul; Jung, Hyunwoo; Kim, Daeyeoul

Subjects: BIOMETRY; FINGERS; INFRARED imaging

• Source: Sensors (14248220); 2011, Vol. 11 Issue 3, p2319-2333, 15p, 2 Color Photographs, 3 Black and White Photographs, 3 Diagrams, 2 Charts, 3 Graphs

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A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function.

• Authors : Kim, Daeyeoul; Simsek, Yilmaz

Subjects: BERNOULLI numbers; ZETA functions; EULER polynomials

• Source: Mathematics (2227-7390); Feb2021, Vol. 9 Issue 3, p233, 1p

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New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials

• Authors : Simsek, Yilmaz; Kurt, Veli; Kim, Daeyeoul

• Source: Journal of Nonlinear Mathematical Physics; January 2007, Vol. 14 Issue: 1 p44-56, 13p

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p-adic interpolating function associated with Euler numbers

• Authors : Kim, Taekyun; Kim, Daeyeoul; Koo, Ja Kyung

• Source: Journal of Nonlinear Mathematical Physics; January 2007, Vol. 14 Issue: 2 p250-257, 8p

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Identities and Computation Formulas for Combinatorial Numbers Including Negative Order Changhee Polynomials.

• Authors : Kim, Daeyeoul; Simsek, Yilmaz; So, Ji Suk

Subjects: EULER polynomials; POLYNOMIALS; BERNOULLI numbers

• Source: Symmetry (20738994); Jan2020, Vol. 12 Issue 1, p9-9, 1p

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Iterating the Sum of Möbius Divisor Function and Euler Totient Function.

• Authors : Kim, Daeyeoul; Sarp, Umit; Ikikardes, Sebahattin

Subjects: MOBIUS function; IDENTITIES (Mathematics); EULER equations

• Source: Mathematics (2227-7390); Nov2019, Vol. 7 Issue 11, p1083-1083, 1p

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Mean Values of Products of L-Functions and Bernoulli Polynomials.

• Authors : Bayad, Abdelmejid; Kim, Daeyeoul

Subjects: L-functions; MEAN value theorems; BERNOULLI polynomials

• Source: Mathematics (2227-7390); Dec2018, Vol. 6 Issue 12, p337, 1p

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Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions.

• Authors : Simsek, Yilmaz; Kim, Daeyeoul

Subjects: POLYNOMIALS; GENERATING functions; RECURSIVE sequences (Mathematics)

• Source: Journal of Inequalities & Applications; 8/22/2018, Vol. 2018 Issue 1, p1-1, 1p

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RELATIONS OF COMBINATORIC CONVOLUTION SUMS FOR RESTRICTED DIVISOR FUNCTIONS AND BERNOULLI POLYNOMIALS.

• Authors : KIM, DAEYEOUL¹ ; IKIKARDES, NAZLI YILDIZ²

Subjects: *COMBINATORICS; *MATHEMATICAL convolutions; *DIVISOR theory

• Source: Miskolc Mathematical Notes. 2021, Vol. 22 Issue 2, p731-748. 18p.

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A Menon-type identity with many tuples of group of units in residually finite Dedekind domains.

• Authors : Li, Yan¹ ; Kim, Daeyeoul²

Subjects: *IDENTITIES (Mathematics); *GROUP theory; *DEDEKIND rings

• Source: Journal of Number Theory. Jun2017, Vol. 175, p42-50. 9p.

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Jackson's integral of multiple Hurwitz–Lerch zeta functions and multiple gamma functions.

• Authors : Hu, Su¹ ; Kim, Daeyeoul² ; Kim, Min-Soo^1,3

Subjects: *ZETA functions; *INTEGRALS; *HURWITZ polynomials

• Source: Journal of Mathematical Analysis & Applications. Dec2018, Vol. 468 Issue 1, p227-239. 13p.

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Menon-type identities with additive characters.

• Authors : Li, Yan¹ ; Kim, Daeyeoul²

Subjects: *IDENTITIES (Mathematics); *ADDITIVE combinatorics; *MODULAR forms

• Source: Journal of Number Theory. Nov2018, Vol. 192, p373-385. 13p.

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Corrigendum to “Menon-type identities derived from actions of subgroups of general linear groups” [J. Number Theory 179 (2017) 97–112].

• Authors : Li, Yan¹; Kim, Daeyeoul²

Subjects: *GROUP theory; *IDENTITIES (Mathematics)

• Source: Journal of Number Theory. Feb2018, Vol. 183, p500-500. 1p.

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Menon-type identities derived from actions of subgroups of general linear groups.

• Authors : Li, Yan¹ ; Kim, Daeyeoul²

Subjects: *SUBGROUP growth; *LINEAR systems; *TRIANGULARIZATION (Mathematics)

• Source: Journal of Number Theory. Oct2017, Vol. 179, p97-112. 16p.

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The p-adic Arakawa–Kaneko–Hamahata zeta functions and poly-Euler polynomials.

• Authors : Hu, Su¹ ; Kim, Daeyeoul² ; Kim, Min-Soo³

Subjects: *ZETA functions; *ANALYTIC number theory; *EULER polynomials

• Source: Journal of Number Theory. Aug2017, Vol. 177, p73-90. 18p.

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The multinomial convolution sums of certain divisor functions.

• Authors : Cho, Bumkyu¹ ; Kim, Daeyeoul² ; Park, Ho¹

Subjects: *MATHEMATICAL convolutions; *MATHEMATICAL functions; *DIVISOR theory

• Source: Journal of Mathematical Analysis & Applications. Apr2017, Vol. 448 Issue 2, p1163-1174. 12p.

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Gaussian binomial coefficients modulo cyclotomic polynomials.

• Authors : Li, Yan¹ ; Kim, Daeyeoul² ; Ma, Lianrong³

Subjects: *GAUSSIAN distribution; *BINOMIAL coefficients; *CYCLOTOMIC fields

• Source: Journal of Number Theory. Nov2016, Vol. 168, p154-166. 13p.

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Evaluation of a certain combinatorial convolution sum in higher level cases.

• Authors : Cho, Bumkyu¹ ; Kim, Daeyeoul² ; Park, Ho¹

Subjects: *COMBINATORICS; *DIVISOR theory; *CATEGORIES (Mathematics)

• Source: Journal of Mathematical Analysis & Applications. Oct2013, Vol. 406 Issue 1, p203-210. 8p.

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Some symmetric identities on higher order q-Euler polynomials and multivariate fermionic p-adic q-integral on.

• Authors : Kim, Daeyeoul¹ ; Kim, Min-Soo²

Subjects: *MATHEMATICAL symmetry; *IDENTITIES (Mathematics); *EULER polynomials

• Source: Applied Mathematics & Computation. Sep2013, Vol. 221, p558-567. 10p.

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On reciprocity formula of Apostol–Dedekind sum with quasi-periodic Euler functions.

• Authors : Hu, Su¹ ; Kim, Daeyeoul² ; Kim, Min-Soo³

Subjects: *MATHEMATICAL formulas; *DEDEKIND sums; *PERIODIC functions

• Source: Journal of Number Theory. May2016, Vol. 162, p54-67. 14p.

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On the elliptic curves modulo p

• Authors : Kim, Daeyeoul¹ ; Koo, Ja Kyung² ; Park, Yoon Kyung²

Subjects: *ALGEBRAIC curves; *ALGEBRAIC fields; *MODULES (Algebra)

• Source: Journal of Number Theory. Apr2008, Vol. 128 Issue 4, p945-953. 9p.

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Modular forms arising from divisor functions

• Authors : Cho, Bumkyu¹ ; Kim, Daeyeoul² ; Koo, Ja Kyung¹

Subjects: *MODULAR forms; *HYPERGEOMETRIC series; *DIVISOR theory

• Source: Journal of Mathematical Analysis & Applications. Aug2009, Vol. 356 Issue 2, p537-547. 11p.

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On a question of Sury.

• Authors : Li, Yan¹ ; Yoo, Jisoo² ; Kim, Daeyeoul^1,2

Subjects: *CHINESE remainder theorem; *DIVISOR theory; *CONGRUENCES & residues

• Source: Discrete Mathematics. Mar2019, Vol. 342 Issue 3, p800-806. 7p.

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Information theories for time-dependent harmonic oscillator

• Authors : Choi, Jeong Ryeol¹ ; Kim, Min-Soo²; Kim, Daeyeoul³

Subjects: *HARMONIC oscillators; *INFORMATION theory; *DENSITY matrices

• Source: Annals of Physics. Jun2011, Vol. 326 Issue 6, p1381-1393. 13p.

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Classical analysis of time behavior of radiation fields associated with biophoton signals.

• Authors : Choi JR; Department of Radiologic Technology, Daegu Health College, Daegu, Korea.; Kim D

Subjects: Photons*; Cell Communication/Cell Communication/Cell Communication/*physiology; Algorithms

• Source: Technology and health care : official journal of the European Society for Engineering and Medicine [Technol Health Care] 2016 Apr 29; Vol. 24 Suppl 2, pp. S577-85.Publisher: IOS Press Country of Publication: Netherlands NLM ID: 9314590 Publication Model: Print Cited Medium: Internet ISSN: 1878-7401

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