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Mathematics Research Center
Ertan Elma — Mathematics Research Center
Ertan Elma
Researcher
Ertan Elma
Number Theory Group
ertan.elma@asoiu.edu.az Website Google Scholar Scopus ORCID
Research Interests

My research area is number theory. I enjoy working on problems related to the distribution of prime numbers, distributions of arithmetic functions and mean value estimates related to \(L\)-functions.

Ongoing Research
  • In progress A Dirichlet series related to the error term in the Prime Number Theorem, II
  • In progress On the Landau–Gonek formula
  • In progress On the fourth moment of the derivative of the Riemann zeta function
    Joint with Kübra Benli, Fatma Çiçek, Alia Hamieh, Nathan Ng
Academic IDs
Scopus: 57200653372 ORCID: 0000-0003-1101-0370
Education
  • 2015 – 2020 Ph.D. in Pure Mathematics, University of Waterloo, Canada
    Supervisors: Yu-Ru Liu and Wentang Kuo
    Thesis: Some Problems in Multiplicative and Additive Number Theory
  • 2012 – 2015 M.Sc. in Mathematics, Boğaziçi University, Istanbul, Turkey
    Supervisor: Cem Yalçın Yıldırım
    Thesis: Average Values of the Functional Equation Factors at the Zeros of Derivatives of Dirichlet \(L\)-functions
  • 2007 – 2012 B.S. in Mathematics, Boğaziçi University, Istanbul, Turkey
Academic Employment
  • 2024 – present Researcher
    Mathematics Research Center, ASOIU, Baku, Azerbaijan
  • 2022 – 2024 Postdoctoral Fellow & Sessional Instructor
    University of Lethbridge, Canada
  • 2015 – 2020 Teaching Assistant & Sessional Instructor
    University of Waterloo, Canada
Publications
  • 9
    On the second Hardy–Littlewood conjecture
    with Bittu Chahal, Nicolò Fellini, Akshaa Vatwani, Do Nhat Tan Vo
    To appear in Acta Arithmetica
    Publisher
  • 8
    Distribution of the number of prime factors with a given multiplicity
    with Greg Martin
    Canadian Mathematical Bulletin, 67 (2024), no. 4, 1107–1122
    PublisherarXiv
  • 7
    A discrete mean value of the Riemann zeta function
    with Kübra Benli and Nathan Ng
    Mathematika, 70 (2024), no. 4, Paper No. e12281, 47 pp.
    PublisherarXiv
  • 6
    A Dirichlet series related to the error term in the Prime Number Theorem
    International Journal of Number Theory, 20 (2024), no. 3, 715–725
    Publisher
  • 5
    On the number of irreducible factors with a given multiplicity in function fields
    with Sourabhashis Das, Wentang Kuo and Yu-Ru Liu
    Finite Fields and Their Applications, 92 (2023), Paper No. 102281, 22 pp.
    PublisherarXiv
  • 4
    Number of prime factors with a given multiplicity
    with Yu-Ru Liu
    Canadian Mathematical Bulletin, 65 (2022), no. 1, 253–269
    Publisher
  • 3
    On discrete mean values of Dirichlet L-functions
    Czechoslovak Mathematical Journal, 71 (146) (2021), no. 4, 1035–1048
    Publisher
  • 2
    On a problem related to discrete mean values of Dirichlet L-functions
    Journal of Number Theory, 217 (2020), 36–43
    Publisher
  • 1
    Mean values of the functional equation factors at the zeros of derivatives of the Riemann zeta function and Dirichlet L-functions
    with Kübra Benli and Cem Yalçın Yıldırım
    Springer Proc. Math. Stat., vol. 221, Springer, Cham (2017), 59–67
    Publisher
Invited Talks
  • Number of prime factors with a given multiplicity
    Feza Gürsey Center, FGC-HRI-IPM Number Theory Seminars — 2025
  • Number of prime factors with a given multiplicity
    ADA University — 2025
  • A discrete mean value of the Riemann zeta function and its derivatives
    Boğaziçi University Colloquium — 2025
  • Number of prime factors with a given multiplicity
    CMS Winter Meeting, Montreal — 2023
  • A Dirichlet series related to the error term in the Prime Number Theorem
    20th Annual Alberta Mathematics Dialogue — 2023
  • A discrete mean value of the Riemann zeta function and its derivatives
    Alberta Number Theory Days XIV, BIRS — 2023
  • Some identities concerning Dirichlet L-functions
    University of Lethbridge — 2022
Contributed Talks
  • Discrete mean values of Dirichlet L-functions
    Journées Arithmétiques XXXI, Istanbul — 2019
  • On a sum concerning the zeros of Dirichlet L-functions
    Algebra and Number Theory, Samsun — 2014
Conferences & Workshops
  • Comparative Prime Number Theory Symposium, Vancouver (attended online)— 2024
  • 16th Meeting of the Canadian Number Theory Association, Toronto (attended online) — 2024
  • Canadian Mathematical Society Winter Meeting, Montreal — 2023
  • Inclusive Paths in Explicit Number Theory Summer School, Kelowna — 2023
  • PIMS CRG L-functions in Analytic Number Theory Launch Event, Banff — 2022
Organisational Activities
Co-organizer, NTC Seminars
University of Lethbridge · 2023 – 2024
Received PIMS research funding ($4,500). Invited and hosted external guest speakers.
Co-leader, Inclusive Paths in Explicit Number Theory Summer School
UBC Okanagan, Kelowna · July 2023
Project: The Second Hardy–Littlewood Conjecture. Project Leader: Akshaa Vatwani.
Organizer & Speaker, Sieve Methods Learning Seminars
University of Waterloo · 2017 – 2018
15 talks of 2–3 hours each; covered basic notions, elementary sieves, Selberg’s sieve, and Bombieri–Vinogradov theorem.
Awards & Grants
  • 2023 – 2024Lethbridge NTC Seminars Grant, $4,500 — PIMS
  • 2015 – 2020International Graduate Student Support, $30,000/year — UWaterloo
  • 2012 – 2014Bursary for Graduate Science Students — TÜBİTAK
  • 2007Valedictorian Prize — Sakıp Sabancı Anatolian High School