Braun, Joschka J.; Buck, Johannes J.; Girsch, Johannes Class invariants for certain non-holomorphic modular functions. (English) Zbl 1407.11062 Res. Number Theory 1, Paper No. 21, 13 p. (2015). MSC: 11F37 11F03 PDFBibTeX XMLCite \textit{J. J. Braun} et al., Res. Number Theory 1, Paper No. 21, 13 p. (2015; Zbl 1407.11062) Full Text: DOI arXiv
Sprung, Florian A formulation of \(p\)-adic versions of the Birch and Swinnerton-Dyer conjectures in the supersingular case. (English) Zbl 1419.11094 Res. Number Theory 1, Paper No. 17, 13 p. (2015). MSC: 11G40 11G05 11R23 PDFBibTeX XMLCite \textit{F. Sprung}, Res. Number Theory 1, Paper No. 17, 13 p. (2015; Zbl 1419.11094) Full Text: DOI arXiv
Chakraborty, Kalyan; Kanemitsu, Shigeru; Long, Li Hai Quadratic reciprocity and Riemann’s non-differentiable function. (English) Zbl 1378.11009 Res. Number Theory 1, Paper No. 14, 8 p. (2015). MSC: 11A15 11F27 26A27 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Res. Number Theory 1, Paper No. 14, 8 p. (2015; Zbl 1378.11009) Full Text: DOI
Larson, Hannah Andrews-Gordon style identities. (English) Zbl 1378.11090 Res. Number Theory 1, Paper No. 13, 9 p. (2015). MSC: 11P84 05A17 05A19 PDFBibTeX XMLCite \textit{H. Larson}, Res. Number Theory 1, Paper No. 13, 9 p. (2015; Zbl 1378.11090) Full Text: DOI
Mertens, Michael H.; Rolen, Larry Lacunary recurrences for Eisenstein series. (English) Zbl 1378.11054 Res. Number Theory 1, Paper No. 9, 5 p. (2015). MSC: 11F11 11F67 PDFBibTeX XMLCite \textit{M. H. Mertens} and \textit{L. Rolen}, Res. Number Theory 1, Paper No. 9, 5 p. (2015; Zbl 1378.11054) Full Text: DOI arXiv
Liu, Sheng-Chi; Masri, Riad A Kronecker limit formula for totally real fields and arithmetic applications. (English) Zbl 1378.11096 Res. Number Theory 1, Paper No. 8, 20 p. (2015). MSC: 11R42 11F70 11J91 11R29 11R80 PDFBibTeX XMLCite \textit{S.-C. Liu} and \textit{R. Masri}, Res. Number Theory 1, Paper No. 8, 20 p. (2015; Zbl 1378.11096) Full Text: DOI
Lagarias, Jeffrey C.; Weiss, Benjamin L. Splitting behavior of \(S_n\)-polynomials. (English) Zbl 1378.11092 Res. Number Theory 1, Paper No. 7, 30 p. (2015). MSC: 11R09 11R32 12F10 PDFBibTeX XMLCite \textit{J. C. Lagarias} and \textit{B. L. Weiss}, Res. Number Theory 1, Paper No. 7, 30 p. (2015; Zbl 1378.11092) Full Text: DOI arXiv
David, Chantal; Huynh, Duc Khiem; Parks, James One-level density of families of elliptic curves and the Ratios Conjecture. (English) Zbl 1378.11066 Res. Number Theory 1, Paper No. 6, 37 p. (2015). MSC: 11G05 11G40 PDFBibTeX XMLCite \textit{C. David} et al., Res. Number Theory 1, Paper No. 6, 37 p. (2015; Zbl 1378.11066) Full Text: DOI arXiv
Richter, Olav K.; Westerholt-Raum, Martin Sturm bounds for Siegel modular forms. (English) Zbl 1378.11057 Res. Number Theory 1, Paper No. 5, 8 p. (2015). MSC: 11F46 11F33 PDFBibTeX XMLCite \textit{O. K. Richter} and \textit{M. Westerholt-Raum}, Res. Number Theory 1, Paper No. 5, 8 p. (2015; Zbl 1378.11057) Full Text: DOI arXiv
Gunby, Benjamin; Smith, Alexander; Yuan, Allen Irreducible canonical representations in positive characteristic. (English) Zbl 1379.14018 Res. Number Theory 1, Paper No. 3, 25 p. (2015). MSC: 14H37 11G20 14G17 PDFBibTeX XMLCite \textit{B. Gunby} et al., Res. Number Theory 1, Paper No. 3, 25 p. (2015; Zbl 1379.14018) Full Text: DOI arXiv
Dieulefait, Luis Víctor; Jiménez Urroz, Jorge; Ribet, Kenneth Alan Modular forms with large coefficient fields via congruences. (English) Zbl 1378.11052 Res. Number Theory 1, Paper No. 2, 14 p. (2015). MSC: 11F03 11F11 PDFBibTeX XMLCite \textit{L. V. Dieulefait} et al., Res. Number Theory 1, Paper No. 2, 14 p. (2015; Zbl 1378.11052) Full Text: DOI arXiv
Chern, Bobbie; Rhoades, Robert C. The Mordell integral, quantum modular forms, and mock Jacobi forms. (English) Zbl 1378.11058 Res. Number Theory 1, Paper No. 1, 14 p. (2015). MSC: 11F50 11F99 11P55 05A30 PDFBibTeX XMLCite \textit{B. Chern} and \textit{R. C. Rhoades}, Res. Number Theory 1, Paper No. 1, 14 p. (2015; Zbl 1378.11058) Full Text: DOI
Rouse, Jeremy; Zureick-Brown, David Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois. (English) Zbl 1397.11095 Res. Number Theory 1, Paper No. 12, 34 p. (2015). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11G05 11F80 11G18 PDFBibTeX XMLCite \textit{J. Rouse} and \textit{D. Zureick-Brown}, Res. Number Theory 1, Paper No. 12, 34 p. (2015; Zbl 1397.11095) Full Text: DOI arXiv
Beckwith, Olivia; Mertens, Michael H. The number of parts in certain residue classes of integer partitions. (English) Zbl 1377.11110 Res. Number Theory 1, Paper No. 11, 15 p. (2015). MSC: 11P82 11P83 11P55 PDFBibTeX XMLCite \textit{O. Beckwith} and \textit{M. H. Mertens}, Res. Number Theory 1, Paper No. 11, 15 p. (2015; Zbl 1377.11110) Full Text: DOI arXiv
Ciolan, Emil-Alexandru; Neiss, Robert Axel Convergence properties of the classical and generalized Rogers-Ramanujan continued fraction. (English) Zbl 1342.11012 Res. Number Theory 1, Paper No. 15, 18 p. (2015). MSC: 11A55 30B70 40A15 PDFBibTeX XMLCite \textit{E.-A. Ciolan} and \textit{R. A. Neiss}, Res. Number Theory 1, Paper No. 15, 18 p. (2015; Zbl 1342.11012) Full Text: DOI arXiv
Kedlaya, Kiran S. Reified valuations and adic spectra. (English) Zbl 1349.14096 Res. Number Theory 1, Paper No. 20, 42 p. (2015). MSC: 14G20 13J20 14G22 14L05 PDFBibTeX XMLCite \textit{K. S. Kedlaya}, Res. Number Theory 1, Paper No. 20, 42 p. (2015; Zbl 1349.14096) Full Text: DOI arXiv
Andrews, George E.; Dixit, Atul; Yee, Ae Ja Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\). (English) Zbl 1386.11108 Res. Number Theory 1, Paper No. 19, 25 p. (2015). MSC: 11P81 11F37 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Res. Number Theory 1, Paper No. 19, 25 p. (2015; Zbl 1386.11108) Full Text: DOI arXiv
Chen, Evan; Park, Peter S.; Swaminathan, Ashvin A. Linnik’s theorem for Sato-Tate laws on elliptic curves with complex multiplication. (English) Zbl 1395.11096 Res. Number Theory 1, Paper No. 28, 11 p. (2015). MSC: 11G15 11G05 PDFBibTeX XMLCite \textit{E. Chen} et al., Res. Number Theory 1, Paper No. 28, 11 p. (2015; Zbl 1395.11096) Full Text: DOI arXiv
Diamantis, Nikolaos; Neururer, Michael; Strömberg, Fredrik A correspondence of modular forms and applications to values of \(L\)-series. (English) Zbl 1380.11026 Res. Number Theory 1, Paper No. 27, 12 p. (2015). MSC: 11F03 11F66 PDFBibTeX XMLCite \textit{N. Diamantis} et al., Res. Number Theory 1, Paper No. 27, 12 p. (2015; Zbl 1380.11026) Full Text: DOI
Bringmann, Kathrin; Guerzhoy, Pavel; Kane, Ben Half-integral weight \(p\)-adic coupling of weakly holomorphic and holomorphic modular forms. (English) Zbl 1380.11043 Res. Number Theory 1, Paper No. 26, 13 p. (2015). MSC: 11F37 11F85 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Res. Number Theory 1, Paper No. 26, 13 p. (2015; Zbl 1380.11043) Full Text: DOI
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan Mean values of multiplicative functions over function fields. (English) Zbl 1394.11069 Res. Number Theory 1, Paper No. 25, 18 p. (2015). MSC: 11N56 11T55 11M38 PDFBibTeX XMLCite \textit{A. Granville} et al., Res. Number Theory 1, Paper No. 25, 18 p. (2015; Zbl 1394.11069) Full Text: DOI arXiv
Chan, Song Heng; Mao, Renrong; Osburn, Robert On recursions for coefficients of mock theta functions. (English) Zbl 1331.33034 Res. Number Theory 1, Paper No. 29, 18 p. (2015). MSC: 33D15 11F30 PDFBibTeX XMLCite \textit{S. H. Chan} et al., Res. Number Theory 1, Paper No. 29, 18 p. (2015; Zbl 1331.33034) Full Text: DOI arXiv
Zemel, Shaul A Gross-Kohnen-Zagier type theorem for higher-codimensional Heegner cycles. (English) Zbl 1359.11066 Res. Number Theory 1, Paper No. 23, 44 p. (2015). Reviewer: Matteo Longo (Padova) MSC: 11G40 11G18 11F32 PDFBibTeX XMLCite \textit{S. Zemel}, Res. Number Theory 1, Paper No. 23, 44 p. (2015; Zbl 1359.11066) Full Text: DOI arXiv
Manack, Corey; Miller, Steven J. Leading digit laws on linear Lie groups. (English) Zbl 1377.11081 Res. Number Theory 1, Paper No. 22, 19 p. (2015). MSC: 11K06 60F99 28C10 15B52 PDFBibTeX XMLCite \textit{C. Manack} and \textit{S. J. Miller}, Res. Number Theory 1, Paper No. 22, 19 p. (2015; Zbl 1377.11081) Full Text: DOI arXiv
Alfes, Claudia; Griffin, Michael; Ono, Ken; Rolen, Larry Weierstrass mock modular forms and elliptic curves. (English) Zbl 1388.11019 Res. Number Theory 1, Paper No. 24, 31 p. (2015). MSC: 11F37 11G40 11G05 11F67 PDFBibTeX XMLCite \textit{C. Alfes} et al., Res. Number Theory 1, Paper No. 24, 31 p. (2015; Zbl 1388.11019) Full Text: DOI arXiv Backlinks: MO
Rose, Simon C. F. Quasi-modularity of generalized sum-of-divisors functions. (English) Zbl 1379.11046 Res. Number Theory 1, Paper No. 18, 11 p. (2015). MSC: 11F11 11F50 11A25 PDFBibTeX XMLCite \textit{S. C. F. Rose}, Res. Number Theory 1, Paper No. 18, 11 p. (2015; Zbl 1379.11046) Full Text: DOI arXiv
Larson, Hannah Proof of conjecture regarding the level of Rose’s generalized sum-of-divisor functions. (English) Zbl 1379.11044 Res. Number Theory 1, Paper No. 16, 8 p. (2015). MSC: 11F11 11F50 11F20 PDFBibTeX XMLCite \textit{H. Larson}, Res. Number Theory 1, Paper No. 16, 8 p. (2015; Zbl 1379.11044) Full Text: DOI arXiv
Ahlgren, Scott; Andersen, Nickolas Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function. (English) Zbl 1379.11054 Res. Number Theory 1, Paper No. 10, 16 p. (2015). MSC: 11F37 11P82 11F25 PDFBibTeX XMLCite \textit{S. Ahlgren} and \textit{N. Andersen}, Res. Number Theory 1, Paper No. 10, 16 p. (2015; Zbl 1379.11054) Full Text: DOI arXiv
Mertens, Michael H.; Rolen, Larry On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono. (English) Zbl 1379.11055 Res. Number Theory 1, Paper No. 4, 13 p. (2015). MSC: 11F37 11P82 PDFBibTeX XMLCite \textit{M. H. Mertens} and \textit{L. Rolen}, Res. Number Theory 1, Paper No. 4, 13 p. (2015; Zbl 1379.11055) Full Text: DOI arXiv