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Hi! I am Sagar Mandal.

Education:

Indian Institute of Technology Ropar-PhD in Mathematics, 2025-
Indian Institute of Technology Kanpur-Master of Science (M.Sc.) in Mathematics, 2023 - 2025
Ramakrishna Mission Vivekananda Centenary College-Bachelor of Science (B.Sc.) in Mathematics, 2020 - 2023
Hili Ramanath High School-Secondary (2018) & Higher Secondary (2020)

Projects:

Supervisor: Prof. Biplab Paul, Indian Institute of Technology Bhubaneswar, Odisha

Project: Erdős–Straus Conjecture and a Round About

Summer Project (June–July 2024)
Supervisor: Prof. Raj Kumar Mistri, Indian Institute of Technology Bhilai, Chhattisgarh
Project: A Preliminary Study on Additive Number Theory
Master’s Project I (August–November 2024)
Supervisor: Prof. Saurabh Kumar Singh, Indian Institute of Technology Kanpur, Uttar Pradesh
Project: Modular Forms
Master’s Project II (January–April 2025)
Supervisor: Prof. Saurabh Kumar Singh, Indian Institute of Technology Kanpur, Uttar Pradesh
Project: Modular Forms & Ramanujan

Publications During BSc.-MSc.:

Research articles:

Upper bounds for the prime divisors of friends of 10# (2025). Resonance, 30(2), 263–275 (with Sourav Mandal).
Exploring the relationships between the divisors of friends of 10 (2025). News Bulletin of Calcutta Mathematical Society, 48(1–3), 21–32.
A note on newly introduced arithmetic functions ϕ+(n) and σ+(n) (2025). Notes on Number Theory and Discrete Mathematics, 31(2), 404–409.
A note on Deaconescu’s conjecture (2025). Annals of West University of Timisoara-Mathematics and Computer Science, 61(1), 55–60.
On characterizing potential friends of 20 (2025). Annals of West University of Timisoara-Mathematics and Computer Science, 61(1), 205–229. (with Tapas Chatterjee and Sourav Mandal).
A note on solitary numbers# (2025). Notes on Number Theory and Discrete Mathematics, 31(3), 617–623.
Divisibility and Sequence Properties of σ+(n) and ϕ+(n)# (2025). Notes on Number Theory and Discrete Mathematics, 31(4), 899–907.
Prime Divisors of 10’s Friends: A Generalization of Prior Bounds (2026). Annals of Oradea University-Mathematics Fascicola, 33(1), 5-12.
On an Erdős–Straus type problem# (2026). Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 26(1), 5-17.
A note on the necessary condition for a friend of 10 (2025). (with Tapas Chatterjee and Sourav Mandal)
On Floor Identities Involving Second-Order Linear Recursions# (2025).

Expository Articles:

Uma nova prova da desigualdade π^e < e^π (2025). Revista Professor de Matem´atica Online, 13(3), 430–432. (with Amit Basak and Sourav Mandal)
Visual proofs of the inequality π^e < e^π# (2025). Journal of Educational Studies in Mathematics and Computer Science, 2(1), 15–17. (With Samriddha Lahiry)

Publications During Ph.D.:

On transcendence of non-periodic continued fractions associated with modular forms and arithmetic functions# (2025), under revision in Boletín de la Sociedad Matemática Mexicana. (with Tapas Chatterjee)
Lehmer-type Conjectures for Nathanson’s Totient Functions and Related Divisibility Results# (2026), under minor revision in Quaestiones Mathematicae. (with Tapas Chatterjee and Mohan)

Preprints:

On the density of certain arithmetic functions including Fourier coefficients of modular forms# (2026). (with Tapas Chatterjee)
Counting MSTD, MDTS and Balanced Sets in Dicyclic Groups# (2026). (with Neetu)
A Transcendental Number Arising from the Last Non-Zero Digits of n^n + (n + 1)^n + (n + 2)^n# (2026).
On irrationality measures and transcendence of numbers arising from the digits of n^{kn+1} (2026). (with Tapas Chatterjee and Raheli Manna)
Transcendence, Algebraic Independence, and Measures for Liouville-Type Series# (2026). (with Tapas Chatterjee)
On generalization of a work of Ingham on Convolution Sums# (2026). (with Tapas Chatterjee and Khyati Khurana)
On the nonnegative integer solutions to the equation $F_n^2+F_m=2^{a}$# (2026).
On the Nonexistence of Fibonacci Numbers and Products of Two Fibonacci Numbers of the Form $3\cdot 2^k\pm 5$# (2026).
On common values of $F_n$ and Nathanson's totient function $\Phi(m)$ (2026).
Further Results on Deaconescu's conjecture# (2026).
On Additive Representations of Tribonacci Numbers by Lucas Numbers and Fibonacci Squares# (2026). (with Tapas Chatterjee).

# Suggested reading.

In Preparation:

On Divisibility, Means, and Related Properties of Fibonacci Numbers (2026). (with Mohan)
TBA (2026). (with Mohan)
TBA (2026). (with Khyati Khurana)

Served as a reviewer for the following journals:

Fellowships:

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