論文等

論文(査読有)

1. H. Kobayashi, Mean-square values of the Riemann zeta function over arithmetic progressions, Monatsh. Math. DOI : https://doi.org/10.1007/s00605-024-01996-6 

2. H. Kobayashi, On a generalisation of the Riemann ξ-function, to appear in Comment. Math. Univ. St. Pauli

3. H. Kobayashi, On some discrete mean values of higher derivatives of Hardy's Z-function, Int. J. Number Theory 20 No. 3, pp. 615-639 (2024)  DOI : https://doi.org/10.1142/S1793042124500325 

4. H. Kobayashi, K. Saito, W. Takeda, Transcendence of values of the iterated exponential function at algebraic points, J. Integer Seq. 26 Article 23.3.3 (2023)

5. H. Kobayashi, On a certain sum of the derivative of Dirichlet L-functions, Tsukuba J. Math. 46 No. 1, (2022) DOI : 10.21099/tkbjm/20224601121 

プレプリント(査読なし)

1. H. Kobayashi, Y. Suzuki, R. Umezawa, Counting relatively prime pairs of palindromes, arXiv:2311.15002

2. H. Kobayashi, A mean-square value of the Riemann zeta function over an arithmetic progression, arXiv:2212.06520 

3. H. Kobayashi, On discrete mean of the derivative of Hardy's Z-function, arXiv:1811.04530

その他

講究録等

1. On the discrete mean of the higher derivative of Hardy’s Z-function, RIMS Kôkyûroku, No. 2222, 128-133 in "RIMS Workshop 2021 Analytic Number Theory and Related Topics" (日本語)

2. On a certain sum of derivatives of Dirichlet L-functions, RIMS Kôkyûroku, No. 2162, 36-41 in "RIMS Workshop 2019 Analytic Number Theory and Related Topics" (日本語)

3. On the discrete mean of the derivative of Hardy function, RIMS Kôkyûroku, No. 2131, 1-11 in "RIMS Workshop 2018 Analytic Number Theory and Related Topics" (日本語)

学位論文

On the analytic behaviour of higher derivatives of Hardy’s Z-function, and a certain discrete moment of the first derivative of Dirichlet L-functions