Results 21 to 30 of about 226 (52)

Taylor coefficients of non-holomorphic Jacobi forms and applications

, 2017
In this paper, we prove modularity results of Taylor coefficients of certain non-holomorphic Jacobi forms. It is well-known that Taylor coefficients of holomorphic Jacobi forms are quasimoular forms.
Bringmann, Kathrin
core   +1 more source

Super congruences and Euler numbers

, 2010
Let $p>3$ be a prime. We prove that $$\sum_{k=0}^{p-1}\binom{2k}{k}/2^k=(-1)^{(p-1)/2}-p^2E_{p-3} (mod p^3),$$ $$\sum_{k=1}^{(p-1)/2}\binom{2k}{k}/k=(-1)^{(p+1)/2}8/3*pE_{p-3} (mod p^2),$$ $$\sum_{k=0}^{(p-1)/2}\binom{2k}{k}^2/16^k=(-1)^{(p-1)/2}+p^2E_{p-
A. Ahlgren, A. Poorten van der, B. C. Berndt, D. A. Cox, D. McCarthy, D. Zeilberger, E. Lehmer, E. Mortenson, E. Mortenson, E. Mortenson, E. Mortenson, F. Beukers, F. Morley, F. Rodriguez-Villegas, H. Pan, H. Pan, H. Prodinger, H. W. Gould, J. Stienstra, J. W. L. Glaisher, J. W. L. Glaisher, K. Ono, L. Hamme van, L. Long, M. Petkovšek, N. D. Baruah, N. D. Baruah, R. Apéry, R. L. Graham, R. Osburn, R. P. Stanley, R. Sprugnoli, R. Tauraso, S. Ahlgren, S. Ramanujan, T. Amdeberhan, T. B. Staver, T. Ishikawa, T. Kilbourn, Z. H. Sun, Z. H. Sun, Z. W. Sun, Z. W. Sun, Z. W. Sun, Z. W. Sun, Z. W. Sun, Z. W. Sun, Zhi-Wei Sun   +47 more
core   +2 more sources

A Framework for Modular Properties of False Theta Functions

, 2019
False theta functions closely resemble ordinary theta functions, however they do not have the modular transformation properties that theta functions have.
Bringmann, Kathrin, Nazaroglu, Caner
core   +1 more source

Congruences for the Fishburn Numbers

, 2014
The Fishburn numbers, $\xi(n),$ are defined by a formal power series expansion $$ \sum_{n=0}^\infty \xi(n)q^n = 1 + \sum_{n=1}^\infty \prod_{j=1}^n (1-(1-q)^j). $$ For half of the primes $p$, there is a non--empty set of numbers $T(p)$ lying in $[0,p-1]$
Andrews, George E., Sellers, James A.
core  

Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. [PDF]

Math Ann, 2023
Minelli P, Sourmelidis A, Technau M.
europepmc   +1 more source

Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. [PDF]

Res Math Sci, 2023
Matsusaka T, Ueki J.
europepmc   +1 more source

Systematic review of structural and functional neuroimaging studies of cannabis use in adolescence and emerging adulthood: evidence from 90 studies and 9441 participants. [PDF]

Neuropsychopharmacology, 2022
Lichenstein SD, Manco N, Cope LM, Egbo L, Garrison KA, Hardee J, Hillmer AT, Reeder K, Stern EF, Worhunsky P, Yip SW.   +10 more
europepmc   +1 more source

A genome-scale RNAi screen for genetic interactors of the dynein co-factor nud-2 in Caenorhabditis elegans. [PDF]

Sci Data, 2018
Rocha H, Maia AF, Gassmann R.
europepmc   +1 more source

Frequency and Pathophysiology of Acute Liver Failure in Ornithine Transcarbamylase Deficiency (OTCD). [PDF]

PLoS One, 2016
Laemmle A, Gallagher RC, Keogh A, Stricker T, Gautschi M, Nuoffer JM, Baumgartner MR, Häberle J.   +7 more
europepmc   +1 more source

Epidemic of Plasmodium falciparum malaria involving substandard antimalarial drugs, Pakistan, 2003. [PDF]

Emerg Infect Dis, 2009
Leslie T, Kaur H, Mohammed N, Kolaczinski K, Ord RL, Rowland M.   +5 more
europepmc   +1 more source