Frank Garvan

University of Florida — United States

Mathematics · Physical Sciences

29h-index3.0kcitations116works0.52yr avg
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Research Topics

Advanced Mathematical Identities(94), Analytic Number Theory Research(78), Advanced Combinatorial Mathematics(65), Mathematical functions and polynomials(15), Advanced Algebra and Geometry(12)

Publications116 total

Duality between prime factors and the prime number theorem for arithmetic progressions—II
The Ramanujan Journal·2026
An infinite family of overpartition congruences mod powers of 2
The Ramanujan Journal·2025
An infinite family of overpartition congruences mod powers of 2
arXiv (Cornell University)·2025Open Access
Multiplicative congruences for Andrews’s even parts below odd parts function and related infinite products
Arabian Journal of Mathematics·2025· 1 cited
Multiplicative congruences for Andrews's even parts below odd parts function and related infinite products
arXiv (Cornell University)·2025Open Access
A simple proof of the Atkin-O'Brien partition congruence conjecture for powers of 13
arXiv (Cornell University)·2025Open Access
Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
Symmetry Integrability and Geometry Methods and Applications·2024Open Access
Shifted and Shiftless Partition Identities
2024· 1 cited
Congruences modulo powers of $5$ and $7$ for the crank and rank parity functions and related mock theta functions
arXiv (Cornell University)·2024· 2 citedOpen Access
Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
arXiv (Cornell University)·2024Open Access
New symmetries for Dyson’s rank function
The Ramanujan Journal·2024· 2 cited
Preface
The Ramanujan Journal·2023Open Access
New symmetries for Dyson's rank function
arXiv (Cornell University)·2023Open Access
A proof of the mod 4 unimodal sequence conjectures and related mock theta functions
Advances in Mathematics·2022· 15 cited
A new approach to the Dyson rank conjectures
The Ramanujan Journal·2022· 1 citedOpen Access
Congruences modulo powers of 5 for the rank parity function
Hardy-Ramanujan Journal·2021· 2 citedOpen Access
The Maple V Primer, Release 4
2021
Congruences modulo powers of 5 for the rank parity function
arXiv (Cornell University)·2021· 1 citedOpen Access
A proof of the mod $4$ unimodal sequence conjectures and related mock theta functions
arXiv (Cornell University)·2020Open Access
CONGRUENCES MODULO 4 FOR WEIGHT ETA-PRODUCTS
Bulletin of the Australian Mathematical Society·2020· 5 citedOpen Access
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Frequent Co-authors

Alexander Bérkovich(5), George E. Andrews(4), Jonathan M. Borwein(4), Dennis Stanton(3), Peter Borwein(3), Bruce C. Berndt(2), A. O. L. Atkin(2), Kathrin Bringmann(2), Karl Mahlburg(2), Jie Liang(2), Dongsu Kim(1), Saurabh Bhargava(1), Michael D. Hirschhorn(1), Mourad E. H. Ismail(1), S. Bhargava(1), David H. Bailey(1), Heinz H. Bauschke(1), Michel Théra(1), Jon D. Vanderwerff(1), Henry Wolkowicz(1)