Bruce C. Berndt

Algebra and Number Theory · 2001–2021

A researcher in the Science corpus: 12 papers; trusts 9 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 18 citations into it; #214 of 2,864 by trust here, #112 by citations
• Applied Mathematics — 8 citations into it; #7,266 of 7,620 by trust here, #7,035 by citations
• Discrete Mathematics and Combinatorics — 7 citations into it; #356 of 2,017 by trust here, #167 by citations
• Mathematical Physics — 6 citations into it

Whom Bruce C. Berndt trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ken Ichi Ono
2. Don Zagier
3. George E. Andrews
4. S. Gun
5. M. Ram Murty
6. Vicenţiu Paşol
7. Song Heng Chan
8. P. Rath

Who trusts Bruce C. Berndt overall

1. Heng Huat Chan
2. Ken Ichi Ono
3. George E. Andrews
4. Kathrin Bringmann
5. Vladimir Petrov Kostov
6. Eric T. Mortenson
7. William Duke
8. Ernest X. W. Xia
9. Jie Frye
10. Zhi-Wei Sun

Papers from Bruce C. Berndt's perspective

Ordered by how strongly the researchers Bruce C. Berndt trusts endorse each paper. Same corpus, a different order for every researcher.

1. Vassiliev invariants and a strange identity related to the Dedekind eta-function
2. Parity of the partition function
3. Domb's numbers and Ramanujan–Sato type series for 1/π
4. Distribution of the partition function modulo $m$
5. Ramanujan-type formulae for 1/π: a second wind?
6. Hypergeometric identities for 10 extended Ramanujan-type series
7. Modular forms and period polynomials
8. Transcendental values of certain Eichler integrals
9. q-series identities and values of certain L-functions
10. Approximations and complex multiplication according to Ramanujan

Their papers

• Gauss and Jacobi sums (2021) — 433 citations
• Ramanujan’s Formula for ζ(2n + 1) (2017) — 63 citations
• Ramanujan's lost notebook (2012) — 76 citations
• Asymptotic expansions of certain partial theta functions (2011) — 61 citations
• Eisenstein series and Ramanujan-type series for 1/π (2010) — 72 citations
• Partial Theta Functions (2009) — 70 citations
• Sixth Order Mock Theta Functions (2007) — 50 citations
• Ramanujan's forty identities for the Rogers-Ramanujan functions (2007) — 54 citations
• Number theory in the spirit of Ramanujan (2006) — 563 citations
• Ramanujan's Lost Notebook: Part I (2005) — 789 citations
• -Series with Applications to Combinatorics, Number Theory, and Physics (2001) — 154 citations
• Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary (2001) — 107 citations