Zobrazeno 1 - 10
of 1 562
pro vyhledávání: '"Coppola Giovanni"'
Autor:
Coppola, Giovanni
We study in detail the Ramanujan smooth expansions, for arithmetic functions; we start with the most general ones, for which we supply the "$P-$local expansions", for arguments with all prime-factors $p\le P$ (namely, $P-$smooth arguments), that are
Externí odkaz:
http://arxiv.org/abs/2407.19759
Autor:
Coppola, Giovanni
This is a kind of survey on properties of correlations of two very general arithmetic functions, mainly from the point of view of Ramanujan expansions. In fact, our previous papers on these links had, as a focus, the "Ramanujan coefficients" of these
Externí odkaz:
http://arxiv.org/abs/2309.17101
Autor:
Barr, Cathy L., Batterson, James R., Berlin, Cheston, Budman, Cathy L., Coppola, Giovanni, Cox, Nancy J., Darrow, Sabrina, Dion, Yves, Freimer, Nelson B., Grados, Marco A., Greenberg, Erica, Hirschtritt, Matthew E., Huang, Alden Y., Illmann, Cornelia, King, Robert A., Kurlan, Roger, Leckman, James F., Lyon, Gholson J., Malaty, Irene A., McMahon, William M., Neale, Benjamin M., Okun, Michael S., Osiecki, Lisa, Robertson, Mary M., Rouleau, Guy A., Sandor, Paul, Singer, Harvey S., Smit, Jan H., Sul, Jae Hoon, Androutsos, Christos, Basha, Entela, Farkas, Luca, Fichna, Jakub, Janik, Piotr, Kapisyzi, Mira, Karagiannidis, Iordanis, Koumoula, Anastasia, Nagy, Peter, Puchala, Joanna, Szejko, Natalia, Szymanska, Urszula, Tsironi, Vaia, Apter, Alan, Ball, Juliane, Bodmer, Benjamin, Bognar, Emese, Buse, Judith, Vela, Marta Correa, Fremer, Carolin, Garcia-Delgar, Blanca, Gulisano, Mariangela, Hagen, Annelieke, Hagstrøm, Julie, Madruga-Garrido, Marcos, Pellico, Alessandra, Ruhrman, Daphna, Schnell, Jaana, Silvestri, Paola Rosaria, Skov, Liselotte, Steinberg, Tamar, Gloor, Friederike Tagwerker, Turner, Victoria L., Weidinger, Elif, Alexander, John, Aranyi, Tamas, Buisman, Wim R., Buitelaar, Jan K., Driessen, Nicole, Drineas, Petros, Fan, Siyan, Forde, Natalie J., Gerasch, Sarah, van den Heuvel, Odile A., Jespersgaard, Cathrine, Kanaan, Ahmad S., Möller, Harald E., Nawaz, Muhammad S., Nespoli, Ester, Pagliaroli, Luca, Poelmans, Geert, Pouwels, Petra J.W., Rizzo, Francesca, Veltman, Dick J., van der Werf, Ysbrand D., Widomska, Joanna, Zilhäo, Nuno R., Brown, Lawrence W., Cheon, Keun-Ah, Coffey, Barbara J., Fernandez, Thomas V., Gilbert, Donald L., Hong, Hyun Ju, Ibanez-Gomez, Laura, Kim, Eun-Joo, Kim, Young Key, Kim, Young-Shin, Koh, Yun-Joo, Kook, Sodahm, Kuperman, Samuel, Leventhal, Bennett L., Maras, Athanasios, Murphy, Tara L., Shin, Eun-Young, Song, Dong-Ho, Song, Jungeun, State, Matthew W., Visscher, Frank, Wang, Sheng, Zinner, Samuel H., Tsetsos, Fotis, Topaloudi, Apostolia, Jain, Pritesh, Yang, Zhiyu, Yu, Dongmei, Kolovos, Petros, Tumer, Zeynep, Rizzo, Renata, Hartmann, Andreas, Depienne, Christel, Worbe, Yulia, Müller-Vahl, Kirsten R., Cath, Danielle C., Boomsma, Dorret I., Wolanczyk, Tomasz, Zekanowski, Cezary, Barta, Csaba, Nemoda, Zsofia, Tarnok, Zsanett, Padmanabhuni, Shanmukha S., Buxbaum, Joseph D., Grice, Dorothy, Glennon, Jeffrey, Stefansson, Hreinn, Hengerer, Bastian, Yannaki, Evangelia, Stamatoyannopoulos, John A., Benaroya-Milshtein, Noa, Cardona, Francesco, Hedderly, Tammy, Heyman, Isobel, Huyser, Chaim, Mir, Pablo, Morer, Astrid, Mueller, Norbert, Munchau, Alexander, Plessen, Kerstin J., Porcelli, Cesare, Roessner, Veit, Walitza, Susanne, Schrag, Anette, Martino, Davide, Tischfield, Jay A., Heiman, Gary A., Willsey, A. Jeremy, Dietrich, Andrea, Davis, Lea K., Crowley, James J., Mathews, Carol A., Scharf, Jeremiah M., Georgitsi, Marianthi, Hoekstra, Pieter J., Paschou, Peristera
Publikováno v:
In Biological Psychiatry 15 July 2024 96(2):114-124
Autor:
Yu, Dongmei, Sul, Jae Hoon, Tsetsos, Fotis, Nawaz, Muhammad S., Huang, Alden Y., Zelaya, Ivette, Illmann, Cornelia, Osiecki, Lisa, Darrow, Sabrina M., Hirschtritt, Matthew E., Greenberg, Erica, Muller-Vahl, Kirsten R., Stuhrmann, Manfred, Dion, Yves, Rouleau, Guy, Aschauer, Harald, Stamenkovic, Mara, Schlögelhofer, Monika, Sandor, Paul, Barr, Cathy L., Grados, Marco, Singer, Harvey S., Nöthen, Markus M., Hebebrand, Johannes, Hinney, Anke, King, Robert A., Fernandez, Thomas V., Barta, Csaba, Tarnok, Zsanett, Nagy, Peter, Depienne, Christel, Worbe, Yulia, Hartmann, Andreas, Budman, Cathy L., Rizzo, Renata, Lyon, Gholson J., McMahon, William M., Batterson, James R., Cath, Danielle C., Malaty, Irene A., Okun, Michael S., Berlin, Cheston, Woods, Douglas W., Lee, Paul C., Jankovic, Joseph, Robertson, Mary M., Gilbert, Donald L., Brown, Lawrence W., Coffey, Barbara J., Dietrich, Andrea, Hoekstra, Pieter J., Kuperman, Samuel, Zinner, Samuel H., Luðvigsson, Pétur, Sæmundsen, Evald, Thorarensen, Ólafur, Atzmon, Gil, Barzilai, Nir, Wagner, Michael, Moessner, Rainald, Ophoff, Roel, Pato, Carlos N., Pato, Michele T., Knowles, James A., Roffman, Joshua L., Smoller, Jordan W., Buckner, Randy L., Willsey, Jeremy A., Tischfield, Jay A., Heiman, Gary A., Stefansson, Hreinn, Stefansson, Kári, Posthuma, Danielle, Cox, Nancy J., Pauls, David L., Freimer, Nelson B., Neale, Benjamin M., Davis, Lea K., Paschou, Peristera, Coppola, Giovanni, Mathews, Carol A., Scharf, Jeremiah M., Agee, Michelle, Auton, Adam, Bell, Robert K., Bryc, Katarzyna, Elson, Sarah L., Fontanillas, Pierre, Furlotte, Nicholas A., Hicks, Barry, Huber, Karen E., Jewett, Ethan M., Jiang, Yunxuan, Kleinman, Aaron, Lin, Keng-Han, Litterman, Nadia K., McCreight, Jey C., McIntyre, Matthew H., McManus, Kimberly F., Mountain, Joanna L., Noblin, Elizabeth S., Northover, Carrie A.M., Pitts, Steven J., Poznik, G. David, Sathirapongsasuti, J. Fah, Shelton, Janie F., Shringarpure, Suyash, Tung, Joyce Y., Vacic, Vladimir, Wang, Xin, Strom, Nora I., Halvorsen, Matthew W., Grove, Jakob, Ásbjörnsdóttir, Bergrún, Luðvígsson, Pétur, de Schipper, Elles, Bäckmann, Julia, Andrén, Per, Tian, Chao, Als, Thomas Damm, Nissen, Judith Becker, Meier, Sandra M., Bybjerg-Grauholm, Jonas, Hougaard, David M., Werge, Thomas, Børglum, Anders D., Hinds, David A., Rück, Christian, Mataix-Cols, David, Stefánsson, Hreinn, Stefansson, Kari, Crowley, James J., Mattheisen, Manuel
Publikováno v:
In Biological Psychiatry July 2024
Autor:
Coppola, Giovanni
We studied Ramanujan series $\sum_{q=1}^{\infty}G(q)c_q(a)$, where $c_q(a)$ is the well-known Ramanujan sum and the complex numbers $G(q)$, as $q\in$N, are the Ramanujan coefficients; of course, we mean, implicitly, that the series converges pointwis
Externí odkaz:
http://arxiv.org/abs/2012.11231
Autor:
Coppola, Giovanni, Ghidelli, Luca
We call $R_G(a):=\sum_{q=1}^{\infty}G(q)c_q(a)$ the 'Ramanujan series', of coefficient $G:$N$\to$C, where $c_q(a)$ is the well-known Ramanujan sum. We study the convergence of this series (a preliminary step, to study Ramanujan expansions and define
Externí odkaz:
http://arxiv.org/abs/2009.14121
Autor:
Coppola, Giovanni, Ghidelli, Luca
The null-function $0(a):=0$, $\forall a\in $N, has Ramanujan expansions: $0(a)=\sum_{q=1}^{\infty}(1/q)c_q(a)$ (where $c_q(a):=$ Ramanujan sum), given by Ramanujan, and $0(a)=\sum_{q=1}^{\infty}(1/\varphi(q))c_q(a)$, given by Hardy ($\varphi:=$ Euler
Externí odkaz:
http://arxiv.org/abs/2005.14666
Autor:
Au, Ngan Pan Bennett, Wu, Tan, Chen, Xinyu, Gao, Feng, Li, Yuen Tung Yolanda, Tam, Wing Yip, Yu, Kwan Ngok, Geschwind, Daniel H., Coppola, Giovanni, Wang, Xin, Ma, Chi Him Eddie
Publikováno v:
In Neuron 20 December 2023 111(24):3970-3987
Autor:
Coppola, Giovanni
All the $F:$N$\rightarrow $C having Ramanujan expansion $F(a)=\sum_{q=1}^{\infty}G(q)c_q(a)$ (here $c_q(a)$ is the Ramanujan sum) pointwise converging in $a\in $N, with $G:$N$\rightarrow $C a multiplicative function, may be factored into two Ramanuja
Externí odkaz:
http://arxiv.org/abs/1910.14640
Autor:
Coppola, Giovanni
All arithmetical functions $F$ satisfying Ramanujan Conjecture, i.e., $F(n)\ll_{\varepsilon}n^{\varepsilon}$, and with $Q-$smooth divisors, i.e., with Eratosthenes transform $F':=F\ast \mu$ supported in $Q-$smooth numbers, have a kind of unique Raman
Externí odkaz:
http://arxiv.org/abs/1901.01584