Photo by imperiumnordique from unsplash
We investigate the arithmetic properties of the second-order mock theta function $B(q)$ and establish two identities for the coefficients of this function along arithmetic progressions. As applications, we prove several… Click to show full abstract
We investigate the arithmetic properties of the second-order mock theta function $B(q)$ and establish two identities for the coefficients of this function along arithmetic progressions. As applications, we prove several congruences for these coefficients.
Keywords:
properties coefficients;
theta function;
mock theta;
coefficients mock;
arithmetic properties
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!