# Research Overview

PhD advisor: Prof. Kohji Matsumoto (松本耕二 教授)

Research interest: analytic number theory, analytic properties of zeta functions and L-functions, zeros of derivatives of zeta functions and L-functions, relation to the distribution of prime numbers

744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan

＠ 理化学研究所 数理創造プログラム メンバー紹介

*** Below each item is written in reverse chronological order ***

Research papers (preprints can be found on arXiv.org):

1. D. A. Goldston and Ade Irma Suriajaya, The Prime Number Theorem and Pair Correlation of Zeros of the Riemann Zeta-Function, submitted, preprint in arXiv:2205.06503 [math.NT].

2. Athanasios Sourmelidis, Jörn Steuding, and Ade Irma Suriajaya, The a-points of the Riemann zeta-function and the functional equation, preprint in arXiv:2204.13887 [math.NT].

3. Sneha Chaubey, Suraj Singh Khurana, Ade Irma Suriajaya, Zeros of derivatives of L-functions in the Selberg class on Re(s)<1/2, submitted, preprint in arXiv:2202.12126 [math.NT].

4. Shingo Sugiyama and Ade Irma Suriajaya, Weighted one-level density of low-lying zeros of Dirichlet L-functions, submitted, preprint in arXiv:2201.00326 [math.NT].

5. D. A. Goldston and Ade Irma Suriajaya, On an Average Goldbach Representation Formula of Fujii, preprint in arXiv:2110.14250 [math.NT].

6. Athanasios Sourmelidis, Jörn Steuding, and Ade Irma Suriajaya, Riemann-Type Functional Equations -- Julia Line and Counting Formulae --, submitted, preprint in arXiv:2011.10692 [math.NT].

7. Athanasios Sourmelidis, Jörn Steuding, and Ade Irma Suriajaya, Riemann-Type Functional Equations -- Dirichlet Polynomial Approximations and a Weak Gram Law --, to appear in Acta Arith.

8. John B. Friedlander, Daniel A. Goldston, Henryk Iwaniec and Ade Irma Suriajaya, Exceptional zeros and the Goldbach problem, J. Number Theory 233 (2022), 78–86, doi: 10.1016/j.jnt.2021.06.004 (free online access until Nov 13, 2021).

9. D. A. Goldston and Ade Irma Suriajaya, A singular series average and the zeros of the Riemann zeta-function, Acta Arith. 200 (2021), 71–90, doi: 10.4064/aa200821-24-2.

10. D. A. Goldston and Ade Irma Suriajaya, The error term in the Cesàro mean of the prime pair singular series, J. Number Theory 227 (2021), 144–157, doi: 10.1016/j.jnt.2021.03.004.

11. Athanasios Sourmelidis, Jörn Steuding, and Ade Irma Suriajaya, Dirichlet Series with Periodic Coefficients and their Value-Distribution Near the Critical Line, Proceedings of the Steklov Institute of Mathematics 314 (2021), no. 1, 238–263, Analytic and Combinatorial Number Theory: Special issue in commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov, doi: 10.1134/S0081543821040118. Also published in Russian: Collected papers. In commemoration of the 130th birth anniversary of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova 314 (2021), 248–274, doi: 10.4213/tm4188 (English page).

12. Shōta Inoue, Sumaia Saad Eddin and Ade Irma Suriajaya, Stieltjes constants of $L$-functions in the extended Selberg class, Ramanujan J. 55 (2021), 609–621, doi: 10.1007/s11139-021-00391-1.

13. Leonid G. Fel, Takao Komatsu, Ade Irma Suriajaya, A Sum of Negative Degrees of the Gaps Values in Two-Generated Numerical Semigroups and Identities for the Hurwitz Zeta Function, In: Nathanson M.B. (eds) Combinatorial and Additive Number Theory IV. CANT 2020. Springer Proceedings in Mathematics & Statistics, vol 347. Springer, Cham. (2021), 151-160, doi: 10.1007/978-3-030-67996-5_8.

14. Leonid G. Fel, Takao Komatsu, Ade Irma Suriajaya, A sum of negative degrees of the gaps values in 2 and 3-generated numerical semigroups, Ann. Math. Inform. 52 (2020), 85–95, doi: 10.33039/ami.2020.08.001.

15. Jörn Steuding and Ade Irma Suriajaya, Value-Distribution of the Riemann Zeta-Function along its Julia Lines, Comput. Methods Funct. Theory 20 (2020), no. 3-4, 389–401, doi: 10.1007/s40315-020-00316-x.

16. Fan Ge and Ade Irma Suriajaya, Note on the number of zeros of $\zeta^{(k)}(s)$, Ramanujan J. 55 (2021), 661–672, doi: 10.1007/s11139-019-00219-z.

17. Junghun Lee, Athanasios Sourmelidis, Jörn Steuding and Ade Irma Suriajaya, The Values of the Riemann Zeta-Function on Discrete Sets, Proceedings of Various Aspects of Multiple Zeta Functions — in honor of Professor Kohji Matsumoto’s 60th birthday, Advanced Studies in Pure Mathematics 84 (2020), 315–334, doi: 10.2969/aspm/08410315.

18. Hirotaka Akatsuka and Ade Irma Suriajaya, Zeros of the first derivative of Dirichlet L-functions, J. Number Theory 184 (2018), 300–329, doi: 10.1016/j.jnt.2017.08.023.

19. Ade Irma Suriajaya, Two estimates on the distribution of zeros of the first derivative of Dirichlet L-functions under the generalized Riemann hypothesis, J. Théor. Nombres Bordeaux 29 (2017), no. 2, 471–502, doi: 10.5802/jtnb.988.

20. Junghun Lee and Ade Irma Suriajaya, An ergodic value distribution of certain meromorphic functions, J. Math. Anal. Appl. 445 (2017), no. 1, 125–138, doi: 10.1016/j.jmaa.2016.07.064.

21. Junghun Lee, Tomokazu Onozuka, and Ade Irma Suriajaya, Some probabilistic value distributions of the Riemann zeta function and its derivatives, Proc. Japan Acad. Ser. A Math. Sci. 92 (2016), no. 7, 82–83, doi: 10.3792/pjaa.92.82.

22. Ade Irma Suriajaya, On the zeros of the k-th derivative of the Riemann zeta function under the Riemann hypothesis, Funct. Approx. Comment. Math. 53 (2015), no.1, 69–95, doi: 10.7169/facm/2015.53.1.5.

Other papers:

1. Ade Irma Suriajaya, Hardy-Littlewoodの特異級数のRiesz平均における誤差項 (Error estimates for the Riesz mean of Hardy-Littlewood singular series), RIMS Kyokyuroku 2021.8, no. 2196, 43–57 (for RIMS Workshop 2020 "Problems and Prospects in Analytic Number Theory") (non-refereed proceedings, in Japanese)

2. D. A. Goldston and Ade Irma Suriajaya, Note on the Goldbach Conjecture and Landau-Siegel Zeros, arXiv:2104.09407 [math.NT]. (only preprint)

3. Ade Irma Suriajaya, リーマンゼータ関数の導関数の零点の個数評価における誤差項の改良 (Improved error estimate for the number of zeros of the derivatives of the Riemann zeta function), RIMS Kyokyuroku 2020.7, no. 2162, 42–53 (for RIMS Workshop 2019 "Analytic Number Theory and Related Topics") (non-refereed proceedings, in Japanese)

4. Ade Irma Suriajaya, リーマンゼータ関数の臨界領域内等差数列における値の分布 (Values of the Riemann zeta function on vertical arithmetic progressions in the critical strip), RIMS Kyokyuroku 2019.10, no. 2131-19 (for RIMS Workshop 2018 "Analytic Number Theory and Related Topics") (non-refereed proceedings, in Japanese)

5. Ade Irma Suriajaya, リーマンゼータ関数とディリクレL関数の導関数の零点の分布, RIMS Kyokyuroku 2018.11, no. 2092, 9–14 (for RIMS Workshop 2017 "Analytic Number Theory and Related Areas") (non-refereed proceedings, in Japanese)

6. Ade Irma Suriajaya, On the zeros of the derivatives of the Riemann zeta function under the Riemann hypothesis, RIMS Kyokyuroku 2016.12, no. 2013, 33–43 (for RIMS Workshop 2014 "Analytic Number Theory － Distribution and Approximation of Arithmetic Objects") (non-refereed proceedings)

7. Ade Irma Suriajaya, 综述黎曼ζ函数的零点分布, NU Ideas 5 (2016), issue 1 (in Chinese)

8. Ade Irma Suriajaya, On the Zeros of the Second Derivative of the Riemann Zeta Function under the Riemann Hypothesis, arxiv:1309.7160 [math.NT]. (only preprint)

Talks

Research visits:

1. UIUC (Champaign, IL, USA) // May 25–29, 2020

2. SJSU and AIM (San Jose, CA, USA) // Apr 1 – May 24, 2020

3. China University of Mining and Technology, Beijing (Beijing, P. R. China) // Sep 14 – 25, 2019

4. Kasetsart University (Bangkok, Thailand) // Sep 1 – 7, 2019

5. University of Würzburg (Würzburg, Germany) // Jun 29 – Jul 1, 2015; Aug 1 – Sep 4, 2016; Jul 9–15, 2017; Sep 9 – Oct 7, 2017; Apr 22–28, 2018; May 20 – Jun 20, 2018; Apr 4–9, 2019; Aug 6–30, 2019

6. IMSc (Chennai, India) // Feb 10–16, 2019

7. UNSW Sydney and Canberra (Sydney and Canberra, Australia) // Sep 20 – 30, 2018

8. University of Rochester (Rochester, NY, USA) // Oct 21 – Dec 1, 2016; Feb 19 – Mar 19, 2017; May 6–17, 2017; Jul 3–7, 2018

9. Shandong University Weihai Campus (Weihai, Shandong, P. R. China) // May 7 – 12, 2018

10. MSRI (Berkeley, CA, USA) // Jan 23 – Feb 10, 2017; May 1–5, 2017; Jan 7–24, 2018

11. Nagoya University (Nagoya, Japan) // Aug 14–25, 2017

12. San Jose State University (San Jose, CA, USA) // Apr 26–30, 2017

13. Academia Sinica (Taipei, Taiwan) // Jun 11–30, 2016

External research funding:

1. JSPS Grants-in-Aid for Scientific Research (Kakenhi) for young researchers, project number: 22K13895

2. JSPS Grants-in-Aid for Scientific Research (Kakenhi) for young researchers, project number: 18K13400

Organized seminar and conferences:

1. (Early announcement) RIMS Workshop for Women in Zeta Functions and Their Representations, March 6–8, 2023

2. Kyushu University Algebra Seminar (九大代数学セミナー), July 2019 – present

3. Conference on distribution of values of zeta functions and L-functions, March 21–27, 2019

4. RIKEN iTHES/iTHEMS Number Theory Seminar:

1. March 16, 2019 (Speakers: Prof. Yasuo Ohno [Tohoku University] and Dr. Yuta Suzuki [Nagoya University])

2. February 25, 2019 (Speakers: Prof. Takashi Nakamura [Tokyo University of Science] and Prof. Hidehiko Mishou [Tokyo Denki University])

3. December 6, 2018 (Speaker: Masahiro Mine [Tokyo Institute of Technology])

4. November 22, 2018 (Speakers: Toshiki Matsusaka [Kyushu University] and Dr. Shin-ichiro Seki [Tohoku University])

5. October 23, 2018 (Speakers: Wataru Takeda [Nagoya University] and Kota Saito [Nagoya University])

6. July 24, 2018 (Speakers: Dr. Masataka Ono [Keio University], Dr. Shingo Sugiyama [Nihon University], and Yoshinosuke Hirakawa [Keio University])

7. March 13, 2018 (Speaker: Dr. Soma Purkait [Tokyo University of Science])

8. February 23 and 24, 2018 (Speaker: Prof. Dr. Takao Komatsu [Wuhan University])

9. December 15 and 18, 2017 (Speaker: Prof. Dr. Yoonbok Lee [Incheon National University])

10. November 15 and 17, 2017 (Speaker: Dr. Sumaia Saad Eddin [Nagoya University])

11. August 31, 2017 (Speaker: Thomas Lachmann [TU Graz])

5. RIKEN coffee meeting:

1. February 23, 2018 (Speaker: Dr. Tetsuo Hatsuda)

2. February 16, 2018 (Speaker: Dr. Eren Mehmet Kiral)

3. November 17, 2017 (Speaker: Dr. Sumaia Saad Eddin [Nagoya University])

6. 第８回ゼータ若手研究集会 (The 8th Young Mathematicians Conference on Zeta Functions), February 13–16, 2015

7. Chacha-zemi, November 17, 2011 – January 29, 2015