34.
2026
Box progressions, abelian power-free morphisms and a sieve technique for the template method
Mathematics of Computation (to appear)
33.
2025
The infinitude of primes and some coloring theorems
Amer. Math. Monthly, 132(8), 766–778
with Azem Berivan Adıbelli
32.
2024
A note on variants of Euler's $\varphi$-function
Publicationes Mathematicae Debrecen, 105 (1-2), 67--89
with Engin Büyükaşık and Doğa Can Sertbaş
31.
2023
Euler–Zagier sums via trigonometric series
Mathematical Reports, 25 (75), no. 3, 381--412
with Şermin Çam Çelik
30.
2023
Arithmetic progressions in certain subsets of finite fields
Finite Fields and Their Applications, 91, 102264
with Sadık Eyidoğan and Mustafa Kutay Kutlu
29.
2023
On classification of sequences containing arbitrarily long arithmetic progressions
Int. J. of Number Theory, 19 (08), 1917--1952
with Şermin Çam Çelik, Sadık Eyidoğan and Doğa Can Sertbaş
28.
2023
Irreducibility and primality in differentiability classes
Real Analysis Exchange, 48 (1), 119--138
with Ahmet Batal and Sadık Eyidoğan
27.
2023
The Green–Tao theorem and the infinitude of primes in domains
Amer. Math. Monthly, 130 (2)
with Hikmet Burak Özcan and Doğa Can Sertbaş
26.
2022
Class number and the special values of L-functions
Math. Reports, 24 (74), no. 4, 693--701
25.
2022
The difference of hyperharmonic numbers via geometric and analytic methods
J. Korean Math. Soc., 59 (6), 1103--1137
with Çağatay Altuntaş and Doğa Can Sertbaş
24.
2022
Lehmer's conjecture via model theory
Proc. Japan Acad. Ser. A Math. Sci., 98 (7), 52--55
23.
2022
Some remarks on harmonic type matrices
Integers, 22, Paper No. A66
22.
2021
Dedekind harmonic numbers
Proc. Indian Acad. Sci. (Math. Sci.), 131 (2), Paper No. 46
with Çağatay Altuntaş
21.
2021
Applications of class numbers and Bernoulli numbers to harmonic type sums
Bull. Korean Math. Soc., 58 (6), 1463--1481
with Doğa Can Sertbaş
20.
2021
A note on points on algebraic sets
Hacet. J. Math. Stat., 50 (3), 821--824
with Şermin Çam Çelik
19.
2021
Number fields and divisible groups via model theory
Turkish Journal of Mathematics, 45, 220--232
with Şermin Çam Çelik
18.
2020
Several novel proofs of the infinitude of primes
The Mathematics Student, 89 (3-4), 91--95
with Hikmet Burak Özcan
17.
2020
Euler Sums and Non-integerness of Harmonic Type Sums
Hacet. J. Math. Stat., 49 (2), 586--598
with Doğa Can Sertbaş
16.
2020
$p$-adic metrics and the infinitude of primes
Mathematics Magazine, 93 (1), 19--22
15.
2020
Approximation by Special Values of Dirichlet Series
Proc. Amer. Math. Soc., 148 (1), 83--93
with Şermin Çam Çelik
14.
2019
Divisor Function and Bounds in Domains with Enough Primes
Hacet. J. Math. Stat., 48 (2), 399--405
13.
2019
Algebraic Numbers with Elements of Small Height
Math. Logic Quart., 65 (1), 14--22
12.
2019
Tame Expansions of $\omega$-Stable Theories and Definable Groups
Notre Dame Journal of Formal Logic, 60 (2), 161--194
11.
2019
Nullstellensatz via Nonstandard Methods
Notes from the International Autumn School on Computational Number Theory, 313--322
10.
2019
Density and Finiteness Results on Sums of Fractions
Proc. Amer. Math. Soc., 147 (2), 567--581
with Doğa Can Sertbaş
9.
2018
Height Bounds, Nullstellensatz and Primality
Communications in Algebra, 46 (10), 4463--4472
8.
2018
Hyperharmonic numbers can rarely be integers
Integers, 18, Paper No. A43
with Emre Alkan and Doğa Can Sertbaş
7.
2018
A congruence for some generalized harmonic type sums
Int. J. of Number Theory, 14 (4), 1033--1046
with Doğa Can Sertbaş
6.
2018
Interpretable Groups in Mann Pairs
Archive for Mathematical Logic, (3-4), 203--237
5.
2018
Structural properties of Dirichlet series with harmonic coefficients
The Ramanujan Journal, 45 (2), 569--600
with Emre Alkan
4.
2018
Divisibility properties of hyperharmonic numbers
Acta Mathematica Hungarica, 154 (1), 147--186
with Doğa Can Sertbaş
3.
2017
Trigonometric series and special values of L-functions
J. Number Theory, 178, 94--117
with Emre Alkan
2.
2017
Almost all hyperharmonic numbers are not integers
J. Number Theory, 171, 495--526
with Doğa Can Sertbaş
1.
2013
On Sums over the Möbius function and Discrepancy of Fractions
J. Number Theory, 133 (7), 2217--2239
with Emre Alkan